What is the relationship between (average voltage) and (peak voltage)?
Step 1: Definition
Step 2: Finding the relationship between and
We know,
The area under a positive half cycle with a period of T can be calculated as,
The instantaneous voltage of a sinusoidal wave is given as
As peak voltage is constantly taking out it as a constant term we will get,
By integrating we will get
Now,
By applying the limits we will get,
The mean or average value is approximately times greater than the peak value.
Therefore, the relationship between and is .