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NEET 2008

Exam: NEET
Year: 2008
Subject: Physics
Chapter: Alternating Current

NEET 2008 · Physics · Alternating Current

In an a.c. circuit the e.m.f. (e) and the current (i ) at any...

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

\begin{aligned} & e=E_0 \sin \omega t \\ & i=I_0 \sin(\omega t-\phi) \end{aligned}

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

Options

A $\mathrm{E}_0$ \mathrm{I} $_0$
B $\frac{E_0 I_0}{2}$
C $\frac{E_0 I_0}{2} \sin \phi$
D $\frac{E_0 l_0}{2} \cos \phi$

Correct answer

D. $\frac{E_0 l_0}{2} \cos \phi$

Step-by-step solution

Since phase difference between current and e.m.f is

\phi

\therefore P_{a V}=

\frac{E_0 l_0}{2} \cos \phi

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