Derivation of mean value and average value of alternating e.m.f.

'Dear student,

Please find below the solution to the asked query:


To calculate the mean value of ac, Let us consider an ac given by



the small amount of charge sent by an ac in small time dt is



total charge carried by ac in half cycle is obtained by integrating equation ii from t = 0 to t = T/2



If Im be the average ac then charge carried by it in half cycle is


Now from equation iii and iv we get


Similarly the average value of ac over negative half cycle (t = T/2 to t = T) is


This is the mean and the average value of current of an alternating EMF

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

  • -6
What are you looking for?