Question

ELECTRONICS: I have a little question about signals. I need to calculate RMS value of voltage (efficient voltage), if period is 4ms, impulse lenght is 1ms and impulse height is 5V. See attached image below:

Answer 1

@prehisto
From the RMS value definition we have:
\[V _{RMS}=\sqrt{\frac{ 1 }{ T }\int\limits_{0}^{T}V ^{2}(t)dt}\]
Now, the square of the signal has the same time behavior but an amplitude of 25V, so the integral calculus gives the area of the rectangle having a base of 1ms and an height of 25V, that is:
\[\int\limits_{0}^{T}V ^{2}(t)dt=25\times10^{-3}\]
If we divide by T (4 ms) and we apply the square root, we have:
\[V _{RMS}=2.5 V\]