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	<title>Mastering Electronics Design&#187; Waveforms</title>
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	<link>http://MasteringElectronicsDesign.com</link>
	<description>Electronics Design and Modeling with Emphasis on Analog Design</description>
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		<title>The RMS Value of a Trapezoidal Waveform – Part 2</title>
		<link>http://MasteringElectronicsDesign.com/the-rms-value-of-a-trapezoidal-waveform-part-2/</link>
		<comments>http://MasteringElectronicsDesign.com/the-rms-value-of-a-trapezoidal-waveform-part-2/#comments</comments>
		<pubDate>Fri, 23 Jul 2010 04:05:58 +0000</pubDate>
		<dc:creator>Adrian S. Nastase</dc:creator>
				<category><![CDATA[Analog Design]]></category>
		<category><![CDATA[Waveforms]]></category>
		<category><![CDATA[pulse]]></category>
		<category><![CDATA[RMS]]></category>
		<category><![CDATA[trapezoidal]]></category>
		<category><![CDATA[waveform]]></category>

		<guid isPermaLink="false">http://masteringelectronicsdesign.com/?p=1565</guid>
		<description><![CDATA[In a previous article, How to Derive the RMS Value of Pulse and Square Waveforms, I showed how to derive the RMS value of a pulse signal.  In some applications, the trapezoidal signal plateau is not flat, but rather a ramp, as shown in Figure 1.  A typical example is a DC-DC converter, where the transformer winding current might look like the signal in Figure 1.  The waveform is still considered a trapezoidal waveform. Let’s calculate its RMS value.


Related posts:<ol><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-trapezoidal-waveform/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of a Trapezoidal Waveform'>How to Derive the RMS Value of a Trapezoidal Waveform</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-triangle-waveform/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of a Triangle Waveform'>How to Derive the RMS Value of a Triangle Waveform</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-pulse-and-square-waveforms/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of Pulse and Square Waveforms'>How to Derive the RMS Value of Pulse and Square Waveforms</a></li></ol>]]></description>
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		<title>Using the Summing Amplifier as an Average Amplifier</title>
		<link>http://MasteringElectronicsDesign.com/using-the-summing-amplifier-as-an-average-amplifier/</link>
		<comments>http://MasteringElectronicsDesign.com/using-the-summing-amplifier-as-an-average-amplifier/#comments</comments>
		<pubDate>Sun, 04 Jul 2010 00:28:07 +0000</pubDate>
		<dc:creator>Adrian S. Nastase</dc:creator>
				<category><![CDATA[Analog Design]]></category>
		<category><![CDATA[Electronic Circuits Examples]]></category>
		<category><![CDATA[Summing Amplifier]]></category>
		<category><![CDATA[Waveforms]]></category>
		<category><![CDATA[op amp]]></category>
		<category><![CDATA[op amp (opamp) formulas]]></category>
		<category><![CDATA[operational amplifier]]></category>
		<category><![CDATA[summing amplifier examples]]></category>
		<category><![CDATA[summing amplifier formula]]></category>
		<category><![CDATA[waveform]]></category>

		<guid isPermaLink="false">http://masteringelectronicsdesign.com/?p=1539</guid>
		<description><![CDATA[The summing amplifier can output the average of two, three or more signals. This is different than a signal average. The summing amplifier cannot, for example, output the average of a triangle signal. For that, you need an integrator to perform the average in the analog realm, or you need to sample the signal and calculate the average with a microcontroller. This type of average is the signal average in the time domain. I will write an article about the average of a signal in a near future.


Related posts:<ol><li><a href='http://MasteringElectronicsDesign.com/the-transfer-function-of-the-summing-amplifier-with-n-input-signals/' rel='bookmark' title='Permanent Link: The Transfer Function of the Non-Inverting Summing Amplifier with “N” Input Signals'>The Transfer Function of the Non-Inverting Summing Amplifier with “N” Input Signals</a></li><li><a href='http://MasteringElectronicsDesign.com/design-bipolar-unipolar-converter-with-3-input-summ-amplifier/' rel='bookmark' title='Permanent Link: Design a Bipolar to Unipolar Converter with a 3-input Summing Amplifier'>Design a Bipolar to Unipolar Converter with a 3-input Summing Amplifier</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-transfer-function-of-the-inverting-summing-amplifier/' rel='bookmark' title='Permanent Link: How to Derive the Transfer Function of the  Inverting Summing Amplifier'>How to Derive the Transfer Function of the  Inverting Summing Amplifier</a></li></ol>]]></description>
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		<title>How to Derive the RMS Value of Pulse and Square Waveforms</title>
		<link>http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-pulse-and-square-waveforms/</link>
		<comments>http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-pulse-and-square-waveforms/#comments</comments>
		<pubDate>Sun, 13 Jun 2010 01:19:14 +0000</pubDate>
		<dc:creator>Adrian S. Nastase</dc:creator>
				<category><![CDATA[Analog Design]]></category>
		<category><![CDATA[Waveforms]]></category>
		<category><![CDATA[bipolar]]></category>
		<category><![CDATA[pulse]]></category>
		<category><![CDATA[RMS]]></category>
		<category><![CDATA[square]]></category>
		<category><![CDATA[waveform]]></category>

		<guid isPermaLink="false">http://masteringelectronicsdesign.com/?p=1489</guid>
		<description><![CDATA[The RMS value of a pulse waveform can be easily calculated starting with the RMS definition. The pulse waveform is shown in Figure 1. The ratio t1/T is the pulse signal duty-cycle. As shown in other articles in this website (How to Derive the RMS Value of a Trapezoidal Waveform and How to Derive the RMS Value of a Triangle Waveform), the RMS definition is an integral over the signal period as in equation (1).


Related posts:<ol><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-triangle-waveform/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of a Triangle Waveform'>How to Derive the RMS Value of a Triangle Waveform</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-trapezoidal-waveform/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of a Trapezoidal Waveform'>How to Derive the RMS Value of a Trapezoidal Waveform</a></li><li><a href='http://MasteringElectronicsDesign.com/the-rms-value-of-a-trapezoidal-waveform-part-2/' rel='bookmark' title='Permanent Link: The RMS Value of a Trapezoidal Waveform – Part 2'>The RMS Value of a Trapezoidal Waveform – Part 2</a></li></ol>]]></description>
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		<title>How to Derive the RMS Value of a Triangle Waveform</title>
		<link>http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-triangle-waveform/</link>
		<comments>http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-triangle-waveform/#comments</comments>
		<pubDate>Mon, 07 Jun 2010 05:26:49 +0000</pubDate>
		<dc:creator>Adrian S. Nastase</dc:creator>
				<category><![CDATA[Analog Design]]></category>
		<category><![CDATA[Waveforms]]></category>
		<category><![CDATA[bipolar]]></category>
		<category><![CDATA[RMS]]></category>
		<category><![CDATA[triangle]]></category>
		<category><![CDATA[waveform]]></category>

		<guid isPermaLink="false">http://masteringelectronicsdesign.com/?p=1455</guid>
		<description><![CDATA[What is the RMS value of a periodic signal?  When a periodic signal is generated by a source connected to a load, a resistor for example, the RMS value is the continuous signal, the DC value which would deliver the same power to the load as the periodic signal.

This article shows how to derive the RMS value of triangle waveforms with different shapes and duty cycles.


Related posts:<ol><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-trapezoidal-waveform/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of a Trapezoidal Waveform'>How to Derive the RMS Value of a Trapezoidal Waveform</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-pulse-and-square-waveforms/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of Pulse and Square Waveforms'>How to Derive the RMS Value of Pulse and Square Waveforms</a></li><li><a href='http://MasteringElectronicsDesign.com/the-rms-value-of-a-trapezoidal-waveform-part-2/' rel='bookmark' title='Permanent Link: The RMS Value of a Trapezoidal Waveform – Part 2'>The RMS Value of a Trapezoidal Waveform – Part 2</a></li></ol>]]></description>
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		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>How to Derive the RMS Value of a Trapezoidal Waveform</title>
		<link>http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-trapezoidal-waveform/</link>
		<comments>http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-trapezoidal-waveform/#comments</comments>
		<pubDate>Sat, 15 May 2010 04:35:10 +0000</pubDate>
		<dc:creator>Adrian S. Nastase</dc:creator>
				<category><![CDATA[Analog Design]]></category>
		<category><![CDATA[Waveforms]]></category>
		<category><![CDATA[RMS]]></category>
		<category><![CDATA[trapezoidal]]></category>
		<category><![CDATA[waveform]]></category>

		<guid isPermaLink="false">http://masteringelectronicsdesign.com/?p=1402</guid>
		<description><![CDATA[In this article I will show you how to calculate the RMS value of a trapezoidal waveform. This periodic waveform is shown in Figure 1. It has a rise time from 0 to t1 and a fall time from t2 to t3. The plateau is between t1 and t2, and the signal is periodic with the period T. If you know this, then you can derive the RMS value of a triangle, square and pulse waveform as well. 


Related posts:<ol><li><a href='http://MasteringElectronicsDesign.com/the-rms-value-of-a-trapezoidal-waveform-part-2/' rel='bookmark' title='Permanent Link: The RMS Value of a Trapezoidal Waveform – Part 2'>The RMS Value of a Trapezoidal Waveform – Part 2</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-a-triangle-waveform/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of a Triangle Waveform'>How to Derive the RMS Value of a Triangle Waveform</a></li><li><a href='http://MasteringElectronicsDesign.com/how-to-derive-the-rms-value-of-pulse-and-square-waveforms/' rel='bookmark' title='Permanent Link: How to Derive the RMS Value of Pulse and Square Waveforms'>How to Derive the RMS Value of Pulse and Square Waveforms</a></li></ol>]]></description>
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