RMS (Root Mean Square) Value and Average Value of AC Signals

In this video, you will learn, how to find the RMS (Root Mean Square) and Average value of AC signal (or in general for any time varying signal).

What is RMS (Root Mean Square) Value:

RMS value of any time-varying signal, in general, is related to the amount of heat being produced in the circuit or across the particular element in the circuit.

This RMS value represents the effective value of the given AC signal which will produce the same amount of heat (and hence power) across particular element if it is being replaced by the DC source of equivalent value.
So, by representing any time-varying signal in RMS value we can compare it with its equivalent DC voltage.

In this video, the general equation of RMS value has been derived, which can be used to find the RMS (Root Mean Square) value of any time-varying signal.
And RMS value for AC sinusoidal signal and for full-wave rectifier circuit waveform has been derived.

What is the average value of AC signal:

Average value of an AC signal or any time-varying signal, in general, is the time average of all the instantaneous values of the signal over the particular time period of the signal.

If the signal is symmetric about the horizontal axis or X-axis (Like in case of the sine wave) then its average value over the time period will be zero. So, in such cases, the average value has been found over the half period.

In this video, the average value of sine wave and the average value for the waveform of half wave rectifier circuit has been derived.

If the signal is non-periodic then to find the average value, one needs to mention the particular time over which the average value has been found.

Form Factor and the Peak Factor:

The form factor is the ratio of RMS value and the Average value.

The peak factor is the ratio of the peak value and the RMS value.

Timestamps for the different topics in the video is given below:

0:41 What is RMS Value? why is it so important?

2:51 How to find the RMS value?

5:55 RMS value of sinusoidal AC signal

8:18 RMS value for the waveform of Full Wave Rectifier Circuit

11:22 What is an average value of AC signal

11:59 Average value of AC sinusoidal signal

13:50 RMS value for the waveform of Half Wave Rectifier Circuit

15: 17 Form Factor and Peak Factor

This video will be helpful to all students of science and engineering in understanding the concept of RMS and average value for AC signals.

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Music Credit:
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