rms value of a rectangular pulse

thatoneguy

Joined Feb 19, 2009
6,359
So we have two answers to the op's question. Let's vote, toss a coin or derive a new formula to obtain one answer.

Timescope
The RMS is 2.5 Volts.

\(
\mathsf{RMS=V_{pk} \cdot \sqrt{\frac {T_{on}}{T_{on}+T_{off}}}}

\mathsf{RMS=5.0V \cdot \sqrt{\frac{0.25s}{0.25s+0.75s}}}

\mathsf{RMS=5.0V \cdot \sqrt{\frac{0.25s}{1s}}}

\mathsf{RMS=5.0V \cdot 0.500}
\\
\mathsf{RMS=2.5V}

\)
 

Potato Pudding

Joined Jun 11, 2010
688
:eek:

Oops. I landed on the wrong side of "Know your sheet or know you're sheet!" that time.

I was thinking of average value.

That's the beauty of forums, and any decent team or community.

Don't worry about making dumb mistakes. Somebody will probably notice it fairly quickly.

:D
 

timescope

Joined Dec 14, 2011
298
There is no vote required. I already showed how to calculate RMS in post #8.
So let's take 16 samples of the waveform during 1 period. The first 4 samples are 5v and the remaining 12 are zero. Squaring each sample and adding them together we get

25 +25 +25 +25 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 = 100

The average is 100/16 =6.25 and the rms value is √6.25 = 2.5v

Timescope
 
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