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Mean value of a.c. over a complete cycle is…………………

What is meant by mean or average value of alternating current ? Show that mean value of ac over a complete cycle is zero.

Prove mathematically that the average value of alternating current over one complete cycle is zero.

What is meant by average value of alternating current? Obtain an expression for it. Prove that the average value of alternating current over one complete cycle is zero.

For a given a.c., I = I_0 sin omegat , show that the average power dissipated in a resistor R over a complete cycle is 1/2 I_0^2R .