Alternating Current - Result Question 7

7. In an a.c circuit the e.m.f. (e) and the current (i) at any instant are given respectively by

e=E0sinωt

[2008]

i=I0sin(ωtϕ)

The average power in the circuit over one cycle of a.c. is

(a) E0I02

(b) E0I02sinf

(c) E0I02cosf

(d) E0I0

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Answer:

Correct Answer: 7. (c)

Solution:

  1. (c) The average power in the circuit over one cycle of a.c. is given by

Pav=erms×irms×cosϕ

=E02×I02×cosϕ=E0I02cosϕ



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