AIPMT MAINS2012Physics-Alternating Current
AIPMT MAINS 2012 Physics Power in AC Circuits MCQ Question
Type: MCQ-numerical-Medium-Class 12
The instantaneous values of alternating current and voltages in a circuit are given as i = 1/√2 sin(100πt) amper and e = 1/√2 sin(100πt + π/3) Volt. The average power in Watts consumed in the circuit is:
A
1/4
B
√3/4
C
1/2
D
1/8
Correct Answer
Option D
Detailed Explanation
The average power
= V_rms I_rms cos ϕ. Here, V_rms = 1/2 volt, I_rms = 1/2 Å, and cos ϕ = 1/2. Thus,
= 1/2 × 1/2 × 1/2 = 1/8 W.
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