Question

An alternating voltage $V=V_0\sin \left(\omega t\right)$ is applied across a circuit. As a result, a current $I=I_0\sin (\omega t-\pi /2)$ flows in it. The power consumed per cycle is

• A. zero
• B. $0.5$ $V_0{I}_0$
• C. $0.707$ $V_0{I}_0$
• D. $1.414$ $V_0{I}_0$

Answer 1

Answer: (A)

zero

The phase angle between voltage $V$ and current $I$ is $\pi /2$.
Therefore, power factor $\cos \varphi =\cos \left(\pi /2\right)=0$.

Hence the power consumed is zero