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	<id>https://hades.mech.northwestern.edu//index.php?action=history&amp;feed=atom&amp;title=Pulse_Width_Modulation</id>
	<title>Pulse Width Modulation - Revision history</title>
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	<updated>2026-04-07T01:45:20Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4788&amp;oldid=prev</id>
		<title>Lynch at 21:20, 6 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4788&amp;oldid=prev"/>
		<updated>2007-01-06T21:20:56Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&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 21:20, 6 January 2007&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;The diode is there because the inductance of the motor does not want the current through the motor to change instantaneously.  (Remember that the voltage across an inductor is equal to &amp;lt;math&amp;gt;v=L di/dt&amp;lt;/math&amp;gt;, so an instantaneous change in &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; means an infinite &amp;lt;math&amp;gt;di/dt&amp;lt;/math&amp;gt;, resulting in infinite voltage, at least theoretically.)  If the motor has current flowing through it, and then we open a switch, the diode provides a path for current to continue to flow through the motor as the energy of the motor is gracefully dissipated through the resistance of the motor (and the diode).  This prevents a large voltage transient (an &quot;inductive kick&quot;) that could damage your electronics.  When a diode is used this way it is called a &#039;&#039;flyback diode&#039;&#039;.  Such a diode should be capable of carrying large currents and switching on and off quickly.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;The diode is there because the inductance of the motor does not want the current through the motor to change instantaneously.  (Remember that the voltage across an inductor is equal to &amp;lt;math&amp;gt;v=L di/dt&amp;lt;/math&amp;gt;, so an instantaneous change in &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; means an infinite &amp;lt;math&amp;gt;di/dt&amp;lt;/math&amp;gt;, resulting in infinite voltage, at least theoretically.)  If the motor has current flowing through it, and then we open a switch, the diode provides a path for current to continue to flow through the motor as the energy of the motor is gracefully dissipated through the resistance of the motor (and the diode).  This prevents a large voltage transient (an &quot;inductive kick&quot;) that could damage your electronics.  When a diode is used this way it is called a &#039;&#039;flyback diode&#039;&#039;.  Such a diode should be capable of carrying large currents and switching on and off quickly&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;.  See more at [[Diodes and Transistors]]&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;There are different ways to control the speed of a DC motor:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;There are different ways to control the speed of a DC motor:&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4787&amp;oldid=prev</id>
		<title>Lynch at 21:17, 6 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4787&amp;oldid=prev"/>
		<updated>2007-01-06T21:17:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&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 21:17, 6 January 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;The diode is there because the inductance of the motor does not want the current through the motor to change instantaneously.  (Remember that the voltage across an inductor is equal to &amp;lt;math&amp;gt;v=L di/dt&amp;lt;/math&amp;gt;, so an instantaneous change in &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; means an infinite &amp;lt;math&amp;gt;di/dt&amp;lt;/math&amp;gt;, resulting in infinite voltage, at least theoretically.)  If the motor has current flowing through it, and then we open a switch, the diode provides a path for current to continue to flow through the motor as the energy of the motor is gracefully dissipated through the resistance of the motor (and the diode).  This prevents a large voltage transient that could damage your electronics.  When a diode is used this way it is called a &#039;&#039;flyback diode&#039;&#039;.  Such a diode should be capable of carrying large currents and switching on and off quickly.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;The diode is there because the inductance of the motor does not want the current through the motor to change instantaneously.  (Remember that the voltage across an inductor is equal to &amp;lt;math&amp;gt;v=L di/dt&amp;lt;/math&amp;gt;, so an instantaneous change in &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; means an infinite &amp;lt;math&amp;gt;di/dt&amp;lt;/math&amp;gt;, resulting in infinite voltage, at least theoretically.)  If the motor has current flowing through it, and then we open a switch, the diode provides a path for current to continue to flow through the motor as the energy of the motor is gracefully dissipated through the resistance of the motor (and the diode).  This prevents a large voltage transient&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; (an &quot;inductive kick&quot;)&lt;/ins&gt; that could damage your electronics.  When a diode is used this way it is called a &#039;&#039;flyback diode&#039;&#039;.  Such a diode should be capable of carrying large currents and switching on and off quickly.&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;There are different ways to control the speed of a DC motor:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;There are different ways to control the speed of a DC motor:&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4786&amp;oldid=prev</id>
		<title>Lynch at 21:12, 6 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4786&amp;oldid=prev"/>
		<updated>2007-01-06T21:12:30Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 21:12, 6 January 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;of the voltage applied across its terminals. &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;of the voltage applied across its terminals. &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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;The PWM signal can be used to drive an H-bridge to control the direction of the motor.  See [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html this page] for a nice tutorial, or this [[media:L293.pdf&lt;del class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/del&gt;L293 H-bridge data sheet]] to learn more about H-bridges.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;The PWM signal can be used to drive an H-bridge to control the direction of the motor.  See [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html this page] for a nice tutorial, or this [[media:L293.pdf&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;|&lt;/ins&gt;L293 H-bridge data sheet]] to learn more about H-bridges.&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;If the motor only has to turn in 1 direction, we can just use a&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;If the motor only has to turn in 1 direction, we can just use a&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4785&amp;oldid=prev</id>
		<title>Lynch at 21:12, 6 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4785&amp;oldid=prev"/>
		<updated>2007-01-06T21:12:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&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 21:12, 6 January 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;of the voltage applied across its terminals. &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;of the voltage applied across its terminals. &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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;The PWM signal can be used to drive an H-bridge to control the direction of the motor.  See [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html this page] for a nice tutorial, or this [[L293.pdf&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;|&lt;/del&gt;L293 H-bridge data sheet]] to learn more about H-bridges.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;The PWM signal can be used to drive an H-bridge to control the direction of the motor.  See [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html this page] for a nice tutorial, or this [[&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;media:&lt;/ins&gt;L293.pdf&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/ins&gt;L293 H-bridge data sheet]] to learn more about H-bridges.&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;If the motor only has to turn in 1 direction, we can just use a&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;If the motor only has to turn in 1 direction, we can just use a&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 39:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 39:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;You can find a nice tutorial on H-bridges [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html here].&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see the [[PIC PWM Motor Driver]].&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see the [[PIC PWM Motor Driver]].&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4784&amp;oldid=prev</id>
		<title>Lynch at 21:11, 6 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4784&amp;oldid=prev"/>
		<updated>2007-01-06T21:11:28Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 21:11, 6 January 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&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;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;To control the speed of the motor, the switches of an H-bridge are opened and closed at different rates in order to apply different&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;To control the speed of the motor, the switches of an H-bridge are opened and closed at different rates in order to apply different&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;average voltages across the motor. This technique is called &amp;lt;B&amp;gt;pulse width modulation&amp;lt;/B&amp;gt;. Let&#039;s look at the following diagrams:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;average voltages across the motor. This technique is called &amp;lt;B&amp;gt;pulse width modulation&amp;lt;/B&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; (PWM)&lt;/ins&gt;. Let&#039;s look at the following diagrams:&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;{|&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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-lineno&quot;&gt;Line 15:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 15:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;Pulse-Width Ratio = &amp;lt;math&amp;gt;\begin{matrix}\frac{t_{on}}{t_{period}}\end{matrix}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;Pulse-Width Ratio = &amp;lt;math&amp;gt;\begin{matrix}\frac{t_{on}}{t_{period}}\end{matrix}&amp;lt;/math&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;of the voltage applied across its terminals. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;If the motor only has to turn in 1 direction, we can just use a&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;of the voltage applied across its terminals. &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;The PWM signal can be used to drive an H-bridge to control the direction of the motor.  See [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html this page] for a nice tutorial, or this [[L293.pdf|L293 H-bridge data sheet]] to learn more about H-bridges.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;If the motor only has to turn in 1 direction, we can just use a&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;half bridge:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;half bridge:&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4783&amp;oldid=prev</id>
		<title>Lynch at 21:04, 6 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4783&amp;oldid=prev"/>
		<updated>2007-01-06T21:04:58Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 21:04, 6 January 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 19:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 19:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;[[image:half_b.jpg|300px]]&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;[[image:half_b.jpg|300px]]&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;The diode is there because the inductance of the motor does not want the current through the motor to change instantaneously.  (Remember that the voltage across an inductor is equal to &amp;lt;math&amp;gt;v=L di/dt&amp;lt;/math&amp;gt;, so an instantaneous change in &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; means an infinite &amp;lt;math&amp;gt;di/dt&amp;lt;/math&amp;gt;, resulting in infinite voltage, at least theoretically.)  If the motor has current flowing through it, and then we open a switch, the diode provides a path for current to continue to flow through the motor as the energy of the motor is gracefully dissipated through the resistance of the motor (and the diode).  This prevents a large voltage transient that could damage your electronics.  When a diode is used this way it is called a &#039;&#039;flyback diode&#039;&#039;.  Such a diode should be capable of carrying large currents and switching on and off quickly.&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;There are different ways to control the speed of a DC motor:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;There are different ways to control the speed of a DC motor:&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;# switching from full positive to full negative&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/P&amp;gt;&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;# switching from full positive to full negative&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;# full positive to open&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/P&amp;gt;&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;# full positive to open&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;# full negative to open&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/P&amp;gt;&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;# full negative to open&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;# braking by shorting&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/P&amp;gt;&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;# braking by shorting&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;# free wheeling by leaving the circuit open.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/P&amp;gt;&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;# free wheeling by leaving the circuit open.&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;One of the possibilities is to use a full H-bridge chip, such as the L6201 shown below:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;One of the possibilities is to use a full H-bridge chip, such as the L6201 shown below:&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4763&amp;oldid=prev</id>
		<title>Lynch at 14:48, 4 January 2007</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=4763&amp;oldid=prev"/>
		<updated>2007-01-04T14:48:42Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 14:48, 4 January 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;# free wheeling by leaving the circuit open.&amp;lt;/P&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;# free wheeling by leaving the circuit open.&amp;lt;/P&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;One of the possibilities is to use a full-bridge chip, such as the L6201 shown below:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;One of the possibilities is to use a full&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; H&lt;/ins&gt;-bridge chip, such as the L6201 shown below:&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;[[image:L6201.jpg|450px]]&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;[[image:L6201.jpg|450px]]&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;You can find a nice tutorial on H-bridges [http://www.mcmanis.com/chuck/robotics/tutorial/h-bridge/index.html here].&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see the [[PIC PWM Motor Driver]].&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see the [[PIC PWM Motor Driver]].&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=3972&amp;oldid=prev</id>
		<title>Lynch at 23:50, 20 October 2006</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=3972&amp;oldid=prev"/>
		<updated>2006-10-20T23:50:13Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 23:50, 20 October 2006&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 34:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 34:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;PWM&lt;/del&gt; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Circuit&lt;/del&gt; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Using&lt;/del&gt; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;PIC&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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the&lt;/ins&gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[PIC&lt;/ins&gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;PWM&lt;/ins&gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Motor Driver]]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lynch</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=1900&amp;oldid=prev</id>
		<title>Stephens at 19:18, 9 June 2006</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=1900&amp;oldid=prev"/>
		<updated>2006-06-09T19:18:18Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 19:18, 9 June 2006&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;When using a integrated chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty 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 class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;For a practical circuit that controls a DC motor using PWM, see PWM Circuit Using PIC.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Stephens</name></author>
	</entry>
	<entry>
		<id>https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=1898&amp;oldid=prev</id>
		<title>Stephens at 19:16, 9 June 2006</title>
		<link rel="alternate" type="text/html" href="https://hades.mech.northwestern.edu//index.php?title=Pulse_Width_Modulation&amp;diff=1898&amp;oldid=prev"/>
		<updated>2006-06-09T19:16:57Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 19:16, 9 June 2006&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 28:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;div&gt;# free wheeling by leaving the circuit open.&amp;lt;/P&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&quot;&gt;&lt;div&gt;# free wheeling by leaving the circuit open.&amp;lt;/P&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;One of the possibilities is to use a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;L293D&lt;/del&gt; chip shown below:&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;One of the possibilities is to use a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;full-bridge&lt;/ins&gt; chip&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, such as the L6201&lt;/ins&gt; shown below:&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;[[image:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;L293&lt;/del&gt;.jpg|450px]]&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;[[image:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;L6201&lt;/ins&gt;.jpg|450px]]&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 class=&quot;diff-context diff-side-deleted&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-context diff-side-added&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;When using a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;L293D&lt;/del&gt; chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-addedline diff-side-added&quot;&gt;&lt;div&gt;When using a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;integrated&lt;/ins&gt; chip, one of the concerns is heat sinking. It is because there are lots of power dissipation and we need to take&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; the heat away. Usually, these chips come with some way to attach to piece of metal or copper (a heatsink).&lt;/ins&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 class=&quot;diff-deletedline diff-side-deleted&quot;&gt;&lt;div&gt;the heat away. One of the ways to do this is to connect pins of the L293 to piece of metal or copper.&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Stephens</name></author>
	</entry>
</feed>