Question

The average power dissipation in a pure capacitance in ac circuit is
(a) $\frac{1}{2} CV^2$
(b) CV²
(c) $\frac{1}{4} CV^2$
(d) Zero

Answer 1

Pure inductive circuit, current is lagging by 90 degree from voltage ( in other words, Voltage is leading 90 Degree from current) i.e the pahse difference between current and voltage is 90 degree. 

So  If Current and Voltage are 90 Degree Out of Phase, Then The Power (P) will be zero. The reason is that,

We know that Power in AC Circuit

P= V I Cos φ

if angle between current and Voltage are 90 ( φ = 90) Degree. then

Power P = V I Cos ( 90) = 0

[ Note that Cos (90) = 0]So if you put Cos 90 = 0→Then Power will be Zero (In pure Inductive circuit)



so the answer is

(d) ZERO

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