Average or Mean Value of Alternating Current over one complete cycle.
The instantaneous value of an alternating current is given by:
I = I0 sin ωt
Its average value over one complete cycle will be given as:
Thus the average value of alternating current over one complete cycle (or over any number of complete cycles) is zero. Similarly the average value of alternating e.m.f. over complete cycle is also zero.
As D.C. instruments measure average values of the quantities, they will record zero reading, and will fail to measure A.C. quantities.