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| pbdavis |
Posted: January 23, 2013 05:34 am
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Newbie ![]() Group: Members+ Posts: 2 Member No.: 37,726 Joined: January 23, 2013 |
Hi,
How to find the rms value of a discontinuous sine wave of the form shown in the figure. |
| Sch3mat1c |
Posted: January 23, 2013 05:54 am
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![]() Forum Addict ++ Group: Moderators Posts: 18,144 Member No.: 73 Joined: July 24, 2002 |
The RMS of *any* waveform which is pulsed at some duty cycle D == [0...1] happens to be 1/sqrt(D) times the continuous wave's RMS value.
So a sine wave of, say, 300V peak, has an RMS of 300/sqrt(2) for the sine wave, and if it has a duty cycle of 50%, another 1/sqrt(2), or 150Vrms. A "pulsed DC" square wave can be thought of as DC with a duty cycle; since the RMS of DC is equal to its value, which is same as the peak value of a "pulsed DC" waveform, the RMS is simply peak/sqrt(D). Or you can zoom way out and tell your scope to calculate RMS. Tim -------------------- Answering questions is a tricky subject to practice. Not due to the difficulty of formulating or locating answers, but due to the human inability of asking the right questions; a skill that, were one to possess, would put them in the "answering" category.
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| pbdavis |
Posted: January 23, 2013 06:01 am
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Newbie ![]() Group: Members+ Posts: 2 Member No.: 37,726 Joined: January 23, 2013 |
1/sqrt(2)????
How did you get "2"....D=[0...1]...isn't it? This post has been edited by pbdavis on January 23, 2013 06:03 am |
| Sch3mat1c |
Posted: January 25, 2013 04:05 am
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![]() Forum Addict ++ Group: Moderators Posts: 18,144 Member No.: 73 Joined: July 24, 2002 |
Oops, that should be sqrt(D), or 1/sqrt(2) for D=1/2
-------------------- Answering questions is a tricky subject to practice. Not due to the difficulty of formulating or locating answers, but due to the human inability of asking the right questions; a skill that, were one to possess, would put them in the "answering" category.
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| circuitfella11 |
Posted: May 08, 2013 09:30 am
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Newbie ![]() ![]() Group: Members+ Posts: 22 Member No.: 38,101 Joined: May 08, 2013 |
hi, from your figure, first get the RMS for your active signal ( those are the waves looking like pulses from far away) after that, get the duty cycle.. dutycycle=duration of the active signal/period of the function you multiply both the rms of the active signal and the dutycycle to get the RMS of the figure. ---regards |
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