Thursday, July 16, 2015

What is RMS value ?



This is one of the most confusing topic , that i have found out most student have come across.

We know that when we talk about the DC signals as shown below.








 When we will find out the average value , we will get some finite value ( in this case we will get 5 ).

Similarly if we try to find out the average value of the AC signals .









For the above signals the average(either voltage or current) value would be zero.

Lets take an example to understand the concept.

 The RMS value of AC (current) is the direct current which when passed through a resistor for a given period of time would produce the same heat as that produced by alternating current when passed through the same resistor for the same time

What we can observe here is , average value is zero , because negative and positive half cycle cancel each other.

So what can be done now ?

If we take the square of negative half cycle then it would be positive.And can be added with positive half cycle.But as we have done the square of the signals , we should get the original signal back.
Then we will take the square root to get the signals back, which is nothing but ROOT MEAN SQUARE VALUE (RMS).

Lets take a signal and find out the RMS value for the same.

y(t) =A sin wt










 

2 comments:

  1. Ab finally samagh mein aa gaya!!!!

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