The voltage and current in a series AC circuit are given by

and


What is the power dissipated in the circuit?


Zero.

Given:


Voltage


Current


Formula used:


The power dissipated in a series AC circuit is given by


… (i),


where Vrms = root mean square value of voltage,


irms = root mean square value of current,


ɸ = phase difference between voltage and current


Now, … (ii), where i0 = peak value of current, ω = angular frequency of oscillation, t = time


Sincewe can say that the phase difference between the voltage and the current is


Substituting this value in (i), we get



P = 0 (since )


Hence, the power dissipated in the given ac circuit is zero. (Ans)


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