In an AC circuit, the voltage and current are given by V = 100 sin(100t) and I = 100 sin(100t + pi/3). The power factor of the circuit is:

A. 0.5 — The power factor is defined as the cosine of the phase difference between the voltage and the current. Here, the phase difference is pi/3 radians.

JEE Main · PhysicsMedium

$In an AC circuit, the voltage and current are given by V = 100 sin (100 t) and I = 100 sin (100 t + π /3) . The power factor of the circuit is:$

A. $0.5$
B. $0.866$
C. $1.0$
D. $0.707$

Show correct answer & step-by-step solution

Correct answer: A — $0.5$

Solution

The phase difference ϕ = π /3 . The power factor is cos (ϕ) = cos (π /3) = 0.5 .

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In an AC circuit, the voltage and current are given by V=100sin(100t) and I=100sin(100t+π/3). The power factor of the circuit is:

Solution

Attempt this question & track your score

More AC Circuits practice questions

$In an AC circuit, the voltage and current are given by V = 100 sin (100 t) and I = 100 sin (100 t + π /3) . The power factor of the circuit is:$