An alternating voltage V=V_ 0 ω t is applied across a circuit. As a result, a current I= I _ 0 (ω t-(π)/(2)) flows in it. The power consumed per cycle is

Correct answer: A. zero The phase angle between voltage V and current I is (π)/(2) . Therefore, power factor φ= ((π)/(2))=0 . Hence the power consumed is zero.

BITSAT 2021

Exam: BITSAT
Year: 2021
Subject: Physics
Chapter: Alternating Current

BITSAT 2021 · Physics · Alternating Current

An alternating voltage V=V_ 0 ω t is applied across a circuit. As a...

An alternating voltage

\mathrm{V}=\mathrm{V}_{0} \sin \omega \mathrm{t}

is applied across a circuit. As a result, a current

\mathrm{I}=

\mathrm{I}

_{0} \sin \left(\omega \mathrm{t}-\frac{\pi}{2}\right)

flows in it. The power consumed per cycle is

Options

Azero
B $0.5 \mathrm{~V}_{0}$ \mathrm{I} $_{0}$
C $0.707 \mathrm{~V}_{0}$ \mathrm{I} $_{0}$
D $1.414 \mathrm{~V}_{0}$ \mathrm{I} $_{0}$

Correct answer

A. zero

Step-by-step solution

The phase angle between voltage

V

and current

I

\frac{\pi}{2}

. Therefore, power factor

\cos \phi=\cos \left(\frac{\pi}{2}\right)=0

. Hence the power consumed is zero.

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