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	<id>https://energyeducation.ca/wiki/index.php?action=history&amp;feed=atom&amp;title=Transformer</id>
	<title>Transformer - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://energyeducation.ca/wiki/index.php?action=history&amp;feed=atom&amp;title=Transformer"/>
	<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;action=history"/>
	<updated>2026-04-26T22:49:22Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.0</generator>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=9444&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=9444&amp;oldid=prev"/>
		<updated>2020-04-28T15:32:24Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:32, 28 April 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=9443&amp;oldid=prev</id>
		<title>energy&gt;Jmdonev at 18:13, 18 February 2020</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=9443&amp;oldid=prev"/>
		<updated>2020-02-18T18:13:49Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:13, 18 February 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2018&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;04&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;30&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;[[Category:Done &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2020&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;02&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;29&lt;/ins&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:4624935949_5d81aacfbe_z.jpg|300px|thumb|Figure 1. Pad mounted transformer for electrical distribution.&amp;lt;ref&amp;gt;sdpitbull via Flickr [Online], Available: https://www.flickr.com/photos/stevestr/4624935949&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:4624935949_5d81aacfbe_z.jpg|300px|thumb|Figure 1. Pad mounted transformer for electrical distribution.&amp;lt;ref&amp;gt;sdpitbull via Flickr [Online], Available: https://www.flickr.com/photos/stevestr/4624935949&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;A &#039;&#039;&#039;transformer&#039;&#039;&#039; is an electrical device that uses [[electromagnetic induction]] to pass an [[alternating current]] (AC) signal from one [[electric circuit]] to another, often changing (or &quot;transforming&quot;) the [[voltage]] and [[electric current]].&amp;lt;/onlyinclude&amp;gt; Transformers do not pass [[direct current]] (DC), and can be used to take the DC voltage (the constant voltage) out of a signal while keeping the part that changes (the AC voltage). In the [[electrical grid]] transformers are key to changing the voltages to reduce how much energy is lost in [[electrical transmission]].  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;A &#039;&#039;&#039;transformer&#039;&#039;&#039; is an &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;electrical device&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;that uses [[electromagnetic induction]] to pass an [[alternating current]] (AC) signal from one [[electric circuit]] to another, often changing (or &quot;transforming&quot;) the [[voltage]] and [[electric current]].&amp;lt;/onlyinclude&amp;gt; Transformers do not pass [[direct current]] (DC), and can be used to take the DC voltage (the constant voltage) out of a signal while keeping the part that changes (the AC voltage). In the [[electrical grid]] transformers are key to changing the voltages to reduce how much energy is lost in [[electrical transmission]].  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Transformers change the voltage of the electrical signal coming out of the [[power plant]], usually increasing (also known as &amp;quot;stepping up&amp;quot;) the voltage. Transformers also reduce (&amp;quot;step down&amp;quot;) the voltage in [[substation]]s, and as [[distribution transformer]]s.&amp;lt;ref name=A&amp;gt;R.T.  Paynter, “Basic Electric Components and Meters,” in &amp;#039;&amp;#039;Introduction to Electricity&amp;#039;&amp;#039;, 1rst ed. NJ: Prentice-Hall, 2011, ch. 21, sec. 21.1, pp. 903-908.&amp;lt;/ref&amp;gt; Transformers are also used as a part of devices, like [[current transformer]]s.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Transformers change the voltage of the electrical signal coming out of the [[power plant]], usually increasing (also known as &amp;quot;stepping up&amp;quot;) the voltage. Transformers also reduce (&amp;quot;step down&amp;quot;) the voltage in [[substation]]s, and as [[distribution transformer]]s.&amp;lt;ref name=A&amp;gt;R.T.  Paynter, “Basic Electric Components and Meters,” in &amp;#039;&amp;#039;Introduction to Electricity&amp;#039;&amp;#039;, 1rst ed. NJ: Prentice-Hall, 2011, ch. 21, sec. 21.1, pp. 903-908.&amp;lt;/ref&amp;gt; Transformers are also used as a part of devices, like [[current transformer]]s.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l7&quot;&gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==How transformers work==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==How transformers work==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The strange ability to keep &lt;/del&gt;the total [[power]] the same, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but change &lt;/del&gt;the current &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and voltage comes from &lt;/del&gt;electromagnetic induction. This &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ability &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;often referred to as &lt;/del&gt;transformer action, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which &lt;/del&gt;describes how the transformer changes an AC signal from its primary to its secondary component. When an AC signal is applied to the primary coil, the changing current causes a [[magnetic field]] to change (get bigger or smaller). This changing magnetic field (and associated [[magnetic flux]]) will pass through to the secondary coil inducing a voltage across the secondary coil, thereby effectively coupling the AC input from the primary to secondary component of the transformer. The voltage applied to the primary component will also be present in the secondary component.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It often seems surprising that a transformer keeps &lt;/ins&gt;the total [[power]] the same &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;when voltage goes up or down. One must keep in mind that when the voltage goes up&lt;/ins&gt;, the current &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;goes down:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;::&amp;lt;math&amp;gt;P=I_1 V_1 = I_2 V_2 &amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Transformers use [[&lt;/ins&gt;electromagnetic induction&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] to change the voltage and current&lt;/ins&gt;. This &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;change &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;called &lt;/ins&gt;transformer action, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and &lt;/ins&gt;describes how the transformer changes an AC signal from its primary to its secondary component &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(like in the equation above)&lt;/ins&gt;. When an AC signal is applied to the primary coil, the changing current causes a [[magnetic field]] to change (get bigger or smaller). This changing magnetic field (and associated [[magnetic flux]]) will pass through to the secondary coil inducing a voltage across the secondary coil, thereby effectively coupling the AC input from the primary to secondary component of the transformer. The voltage applied to the primary component will also be present in the secondary component.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;As mentioned before, transformers do not allow DC input to flow through. This is known as DC isolation.&amp;lt;ref name=A /&amp;gt; This is because a change in current cannot be generated by DC; meaning that there is no changing magnetic field to induce a voltage across the secondary component.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;As mentioned before, transformers do not allow DC input to flow through. This is known as DC isolation.&amp;lt;ref name=A /&amp;gt; This is because a change in current cannot be generated by DC; meaning that there is no changing magnetic field to induce a voltage across the secondary component.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>energy&gt;Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=6047&amp;oldid=prev</id>
		<title>Jmdonev: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=6047&amp;oldid=prev"/>
		<updated>2018-05-11T18:17:04Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:17, 11 May 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=6046&amp;oldid=prev</id>
		<title>Jmdonev at 18:00, 9 May 2018</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=6046&amp;oldid=prev"/>
		<updated>2018-05-09T18:00:55Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:00, 9 May 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2015&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;08&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;21&lt;/del&gt;]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Done &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2018&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;04&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;30&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:4624935949_5d81aacfbe_z.jpg|300px|thumb|Figure 1. Pad mounted transformer for electrical distribution.&amp;lt;ref&amp;gt;sdpitbull via Flickr [Online], Available: https://www.flickr.com/photos/stevestr/4624935949&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:4624935949_5d81aacfbe_z.jpg|300px|thumb|Figure 1. Pad mounted transformer for electrical distribution.&amp;lt;ref&amp;gt;sdpitbull via Flickr [Online], Available: https://www.flickr.com/photos/stevestr/4624935949&amp;lt;/ref&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;A &#039;&#039;&#039;transformer&#039;&#039;&#039; is an electrical device that uses [[electromagnetic induction]] to pass an [[alternating current]] (AC) signal from one [[circuit]] to another, often changing (or &quot;transforming&quot;) the [[voltage]] and [[current]].&amp;lt;/onlyinclude&amp;gt; Transformers do not pass [[direct current]] (DC), and can be used to take the DC voltage (the constant voltage) out of a signal while keeping the part that changes (the AC voltage). In the [[electrical grid]] transformers are key to changing the voltages to reduce how much energy is lost in [[electrical transmission]].  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;onlyinclude&amp;gt;A &#039;&#039;&#039;transformer&#039;&#039;&#039; is an electrical device that uses [[electromagnetic induction]] to pass an [[alternating current]] (AC) signal from one [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;electric &lt;/ins&gt;circuit]] to another, often changing (or &quot;transforming&quot;) the [[voltage]] and [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;electric &lt;/ins&gt;current]].&amp;lt;/onlyinclude&amp;gt; Transformers do not pass [[direct current]] (DC), and can be used to take the DC voltage (the constant voltage) out of a signal while keeping the part that changes (the AC voltage). In the [[electrical grid]] transformers are key to changing the voltages to reduce how much energy is lost in [[electrical transmission]].  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Transformers change the voltage of the electrical signal coming out of the [[power plant]], usually increasing (also known as &amp;quot;stepping up&amp;quot;) the voltage. Transformers also reduce (&amp;quot;step down&amp;quot;) the voltage in [[substation]]s, and as [[distribution transformer]]s.&amp;lt;ref name=A&amp;gt;R.T.  Paynter, “Basic Electric Components and Meters,” in &amp;#039;&amp;#039;Introduction to Electricity&amp;#039;&amp;#039;, 1rst ed. NJ: Prentice-Hall, 2011, ch. 21, sec. 21.1, pp. 903-908.&amp;lt;/ref&amp;gt; Transformers are also used as a part of devices, like [[current transformer]]s.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Transformers change the voltage of the electrical signal coming out of the [[power plant]], usually increasing (also known as &amp;quot;stepping up&amp;quot;) the voltage. Transformers also reduce (&amp;quot;step down&amp;quot;) the voltage in [[substation]]s, and as [[distribution transformer]]s.&amp;lt;ref name=A&amp;gt;R.T.  Paynter, “Basic Electric Components and Meters,” in &amp;#039;&amp;#039;Introduction to Electricity&amp;#039;&amp;#039;, 1rst ed. NJ: Prentice-Hall, 2011, ch. 21, sec. 21.1, pp. 903-908.&amp;lt;/ref&amp;gt; Transformers are also used as a part of devices, like [[current transformer]]s.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot;&gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Transformer operation.png|thumb|800px|center|Figure 1. A simple operating transformer.&amp;lt;ref&amp;gt; from http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10654&amp;amp;CurriculumID=41&amp;amp;Num=3.15 accessed November 24th, 2014.&amp;lt;/ref&amp;gt; [[Current]] &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I_p&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; comes in with a [[voltage]] &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;V_p&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;. The current passes through the &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N_p&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; windings creating [[magnetic flux]] in the iron core. This flux is traveling through &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; loops of [[wire]] on the other circuit. This creates a current &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; and a voltage difference in the second circuit of &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;V_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;. The [[electric power]] (&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;V\times I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;) [[conservation of energy|stays the same]]. ]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Transformer operation.png|thumb|800px|center|Figure 1. A simple operating transformer.&amp;lt;ref&amp;gt; from http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10654&amp;amp;CurriculumID=41&amp;amp;Num=3.15 accessed November 24th, 2014.&amp;lt;/ref&amp;gt; [[Current]] &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I_p&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; comes in with a [[voltage]] &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;V_p&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;. The current passes through the &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N_p&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; windings creating [[magnetic flux]] in the iron core. This flux is traveling through &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; loops of [[wire]] on the other circuit. This creates a current &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; and a voltage difference in the second circuit of &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;V_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;. The [[electric power]] (&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;V\times I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;) [[conservation of energy|stays the same]]. ]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The fundamental principle that allows &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;for &lt;/del&gt;transformers to change the voltage of [[alternating current]] is the direct relationship between the ratio of loops of wire in the primary winding to the secondary winding and the ratio of the primary [[voltage]] to the output voltage. The ratio between the number of turns (or loops) in the primary coil to the number of turns in the secondary coil is known as the turns ratio. The turns ratio establishes the following relationship with voltage:&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The fundamental principle that allows &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;transformers to change the voltage of [[alternating current]] is the direct relationship between the ratio of loops of wire in the primary winding to the secondary winding and the ratio of the primary [[voltage]] to the output voltage. The ratio between the number of turns (or loops) in the primary coil to the number of turns in the secondary coil is known as the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;turns ratio&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;. The turns ratio establishes the following relationship with voltage:&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;\frac{N_p}{N_s} = \frac{V_p}{V_s}=\frac{I_s}{I_p}&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;\frac{N_p}{N_s} = \frac{V_p}{V_s}=\frac{I_s}{I_p}&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N_p&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; = Number of turns in the primary coil&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N_p&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; = Number of turns in the primary coil&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; = Number of turns in the secondary coil&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; = Number of turns in the secondary coil&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;V_p&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; = Voltage across the primary&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;V_p&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; = Voltage across the primary&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;V_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; = Voltage across the secondary&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;V_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; = Voltage across the secondary&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I_p&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; = Current through the primary&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I_p&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; = Current through the primary&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt; = Current through the secondary&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; = Current through the secondary&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;From this equation, if the number of turns in the primary coil is greater than the number of turns in the secondary coil (&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N_p &amp;gt; N_s&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;), then the voltage across the secondary coil will be &#039;&#039;less&#039;&#039; than in the primary coil. This is known as a &quot;step-down&quot; transformer, because it lowers, or steps down, the voltage. The table below shows common types of transformers used on the [[electrical grid]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;From this equation, if the number of turns in the primary coil is greater than the number of turns in the secondary coil (&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N_p &amp;gt; N_s&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;), then the voltage across the secondary coil will be &#039;&#039;less&#039;&#039; than in the primary coil. This is known as a &quot;step-down&quot; transformer, because it lowers, or steps down, the voltage. The table below shows common types of transformers used on the [[electrical grid]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| {{table}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| {{table}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l33&quot;&gt;Line 33:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 33:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Power&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Power&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| Step down||input (primary) voltage &amp;gt; output (secondary) voltage||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;lt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| Step down||input (primary) voltage &amp;gt; output (secondary) voltage||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;lt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| Step up||input (primary) voltage &amp;lt; output (secondary) voltage||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;lt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| Step up||input (primary) voltage &amp;lt; output (secondary) voltage||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;lt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| One-to-one||input (primary) voltage = output (secondary) voltage||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;N&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;I&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;P&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;m&lt;/del&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| One-to-one||input (primary) voltage = output (secondary) voltage||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;N&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;I&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;P&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l52&quot;&gt;Line 52:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 52:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To learn more about transformers please see [http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html#c1 hyperphysics].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To learn more about transformers please see [http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html#c1 hyperphysics].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== For Further Reading ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For further information please see the related pages below:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Electrical transmission]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Electrical grid]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Electrical outlet]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Distribution grid]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* Or explore a [[Special:Random| random page!]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}[[Category:Uploaded]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}[[Category:Uploaded]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jmdonev</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=2144&amp;oldid=prev</id>
		<title>J.williams: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=2144&amp;oldid=prev"/>
		<updated>2015-08-26T21:31:55Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:31, 26 August 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>J.williams</name></author>
	</entry>
	<entry>
		<id>https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=2143&amp;oldid=prev</id>
		<title>J.williams at 18:50, 24 August 2015</title>
		<link rel="alternate" type="text/html" href="https://energyeducation.ca/wiki/index.php?title=Transformer&amp;diff=2143&amp;oldid=prev"/>
		<updated>2015-08-24T18:50:48Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:Done 2015-08-21]] &lt;br /&gt;
[[File:4624935949_5d81aacfbe_z.jpg|300px|thumb|Figure 1. Pad mounted transformer for electrical distribution.&amp;lt;ref&amp;gt;sdpitbull via Flickr [Online], Available: https://www.flickr.com/photos/stevestr/4624935949&amp;lt;/ref&amp;gt;]]&lt;br /&gt;
&amp;lt;onlyinclude&amp;gt;A &amp;#039;&amp;#039;&amp;#039;transformer&amp;#039;&amp;#039;&amp;#039; is an electrical device that uses [[electromagnetic induction]] to pass an [[alternating current]] (AC) signal from one [[circuit]] to another, often changing (or &amp;quot;transforming&amp;quot;) the [[voltage]] and [[current]].&amp;lt;/onlyinclude&amp;gt; Transformers do not pass [[direct current]] (DC), and can be used to take the DC voltage (the constant voltage) out of a signal while keeping the part that changes (the AC voltage). In the [[electrical grid]] transformers are key to changing the voltages to reduce how much energy is lost in [[electrical transmission]]. &lt;br /&gt;
&lt;br /&gt;
Transformers change the voltage of the electrical signal coming out of the [[power plant]], usually increasing (also known as &amp;quot;stepping up&amp;quot;) the voltage. Transformers also reduce (&amp;quot;step down&amp;quot;) the voltage in [[substation]]s, and as [[distribution transformer]]s.&amp;lt;ref name=A&amp;gt;R.T.  Paynter, “Basic Electric Components and Meters,” in &amp;#039;&amp;#039;Introduction to Electricity&amp;#039;&amp;#039;, 1rst ed. NJ: Prentice-Hall, 2011, ch. 21, sec. 21.1, pp. 903-908.&amp;lt;/ref&amp;gt; Transformers are also used as a part of devices, like [[current transformer]]s.&lt;br /&gt;
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==How transformers work==&lt;br /&gt;
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The strange ability to keep the total [[power]] the same, but change the current and voltage comes from electromagnetic induction. This ability is often referred to as transformer action, which describes how the transformer changes an AC signal from its primary to its secondary component. When an AC signal is applied to the primary coil, the changing current causes a [[magnetic field]] to change (get bigger or smaller). This changing magnetic field (and associated [[magnetic flux]]) will pass through to the secondary coil inducing a voltage across the secondary coil, thereby effectively coupling the AC input from the primary to secondary component of the transformer. The voltage applied to the primary component will also be present in the secondary component. &lt;br /&gt;
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As mentioned before, transformers do not allow DC input to flow through. This is known as DC isolation.&amp;lt;ref name=A /&amp;gt; This is because a change in current cannot be generated by DC; meaning that there is no changing magnetic field to induce a voltage across the secondary component.&lt;br /&gt;
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[[File:Transformer operation.png|thumb|800px|center|Figure 1. A simple operating transformer.&amp;lt;ref&amp;gt; from http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10654&amp;amp;CurriculumID=41&amp;amp;Num=3.15 accessed November 24th, 2014.&amp;lt;/ref&amp;gt; [[Current]] &amp;lt;m&amp;gt;I_p&amp;lt;/m&amp;gt; comes in with a [[voltage]] &amp;lt;m&amp;gt;V_p&amp;lt;/m&amp;gt;. The current passes through the &amp;lt;m&amp;gt;N_p&amp;lt;/m&amp;gt; windings creating [[magnetic flux]] in the iron core. This flux is traveling through &amp;lt;m&amp;gt;N_s&amp;lt;/m&amp;gt; loops of [[wire]] on the other circuit. This creates a current &amp;lt;m&amp;gt;I_s&amp;lt;/m&amp;gt; and a voltage difference in the second circuit of &amp;lt;m&amp;gt;V_s&amp;lt;/m&amp;gt;. The [[electric power]] (&amp;lt;m&amp;gt;V\times I&amp;lt;/m&amp;gt;) [[conservation of energy|stays the same]]. ]] &lt;br /&gt;
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The fundamental principle that allows for transformers to change the voltage of [[alternating current]] is the direct relationship between the ratio of loops of wire in the primary winding to the secondary winding and the ratio of the primary [[voltage]] to the output voltage. The ratio between the number of turns (or loops) in the primary coil to the number of turns in the secondary coil is known as the turns ratio. The turns ratio establishes the following relationship with voltage:&amp;lt;br /&amp;gt;&lt;br /&gt;
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&amp;lt;center&amp;gt;&amp;lt;m&amp;gt;\frac{N_p}{N_s} = \frac{V_p}{V_s}=\frac{I_s}{I_p}&amp;lt;/m&amp;gt;&amp;lt;/center&amp;gt;&lt;br /&gt;
*&amp;lt;m&amp;gt;N_p&amp;lt;/m&amp;gt; = Number of turns in the primary coil&lt;br /&gt;
*&amp;lt;m&amp;gt;N_s&amp;lt;/m&amp;gt; = Number of turns in the secondary coil&lt;br /&gt;
*&amp;lt;m&amp;gt;V_p&amp;lt;/m&amp;gt; = Voltage across the primary&lt;br /&gt;
*&amp;lt;m&amp;gt;V_s&amp;lt;/m&amp;gt; = Voltage across the secondary&lt;br /&gt;
*&amp;lt;m&amp;gt;I_p&amp;lt;/m&amp;gt; = Current through the primary&lt;br /&gt;
*&amp;lt;m&amp;gt;I_s&amp;lt;/m&amp;gt; = Current through the secondary&amp;lt;br /&amp;gt;&lt;br /&gt;
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From this equation, if the number of turns in the primary coil is greater than the number of turns in the secondary coil (&amp;lt;m&amp;gt;N_p &amp;gt; N_s&amp;lt;/m&amp;gt;), then the voltage across the secondary coil will be &amp;#039;&amp;#039;less&amp;#039;&amp;#039; than in the primary coil. This is known as a &amp;quot;step-down&amp;quot; transformer, because it lowers, or steps down, the voltage. The table below shows common types of transformers used on the [[electrical grid]].&lt;br /&gt;
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{| {{table}}&lt;br /&gt;
| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Transformer Type&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Voltage&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Turns ratio&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Current&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; style=&amp;quot;background:#f0f0f0;&amp;quot;|&amp;#039;&amp;#039;&amp;#039;Power&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| Step down||input (primary) voltage &amp;gt; output (secondary) voltage||&amp;lt;m&amp;gt;N&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;gt;&amp;lt;m&amp;gt;N&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;m&amp;gt;I&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;lt;&amp;lt;m&amp;gt;I&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Step up||input (primary) voltage &amp;lt; output (secondary) voltage||&amp;lt;m&amp;gt;N&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;lt;&amp;lt;m&amp;gt;N&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;m&amp;gt;I&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;&amp;gt;&amp;lt;m&amp;gt;I&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| One-to-one||input (primary) voltage = output (secondary) voltage||&amp;lt;m&amp;gt;N&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;m&amp;gt;N&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;m&amp;gt;I&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;m&amp;gt;I&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;||&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt;=&amp;lt;m&amp;gt;P&amp;lt;/m&amp;gt;&amp;lt;sub&amp;gt;s&amp;lt;/sub&amp;gt;&lt;br /&gt;
|}&amp;lt;br /&amp;gt;&lt;br /&gt;
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The &amp;#039;&amp;#039;&amp;#039;one to one&amp;#039;&amp;#039;&amp;#039; transformer will have &amp;#039;&amp;#039;&amp;#039;equal values for everything&amp;#039;&amp;#039;&amp;#039; and is used mainly for the purpose of providing DC isolation. &lt;br /&gt;
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A &amp;#039;&amp;#039;&amp;#039;step down&amp;#039;&amp;#039;&amp;#039; transformer will have a &amp;#039;&amp;#039;&amp;#039;higher primary voltage&amp;#039;&amp;#039;&amp;#039; than secondary voltage, but a &amp;#039;&amp;#039;&amp;#039;lower primary current&amp;#039;&amp;#039;&amp;#039; value than its secondary component. &lt;br /&gt;
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In the case of the &amp;#039;&amp;#039;&amp;#039;step up&amp;#039;&amp;#039;&amp;#039; transformer, the &amp;#039;&amp;#039;&amp;#039;primary voltage will be lower&amp;#039;&amp;#039;&amp;#039; than the secondary voltage, meaning a &amp;#039;&amp;#039;&amp;#039;greater primary current&amp;#039;&amp;#039;&amp;#039; than the secondary component. &lt;br /&gt;
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==Efficiency==&lt;br /&gt;
Under ideal conditions the voltage and current change by the same factor for any transformer, which explains why the primary power value is equal to the secondary power value for each case in the above table. As one value decreases the other increases to keep at a constant equilibrium power level.&amp;lt;ref name=A /&amp;gt; &lt;br /&gt;
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Transformers can be extremely efficient. High-power transformers can reach the &amp;#039;&amp;#039;&amp;#039;99%&amp;#039;&amp;#039;&amp;#039; mark of [[efficiency]], as a result of successes in minimizing [[transformer losses]]. However, a transformer will always output a slightly lower power than its input, as losses cannot be eliminated completely. There is some [[transformer impedance]]. &lt;br /&gt;
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To learn more about transformers please see [http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html#c1 hyperphysics].&lt;br /&gt;
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==References==&lt;br /&gt;
{{reflist}}[[Category:Uploaded]]&lt;/div&gt;</summary>
		<author><name>J.williams</name></author>
	</entry>
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