AIPMT MAIN2008Physics-Alternating Current
AIPMT MAIN 2008 Physics Power in AC Circuits MCQ Question
Type: MCQ-conceptual-Medium-Class 12
In an a.c. circuit the e.m.f. (e) and the current (i) at any instant are given respectively by e = E₀ sinωt and i = i₀ sin(ωt − ϕ). The average power in the circuit over one cycle of a.c. is
A
E₀i₀
B
E₀i₀/2
C
E₀i₀ sinϕ/2
D
E₀i₀ cosϕ/2
Correct Answer
Option D
Detailed Explanation
Since the phase difference between current and e.m.f is ϕ, the average power Pₐᵥ = (E₀i₀/2) cosϕ.
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