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In an a.c. circuit V and I are given by ...

In an a.c. circuit V and I are given by V=50 sin50t volt and I = 100 sin`(50t + pi//3)` mA. The power dissipated in the circuit

A

106W

B

150W

C

5625W

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Compare V =150 sin (150t) with
` V = V_0 sin omega t` , we get `V_0 = 150 V`
Compare `I = 150 sin (150t + pi/3)` with
`I = I_0 sin (omega t + phi), ` we get `I_0 = 150A , phi = pi/3 = 60@`
The power dissipated in ac circuit is
`P = 1/2 V_0 I_0 cos phi = 1/2 xx 150 xx 150 xx cos 60^@`
` = 1/2 xx 150 xx 150 xx 1/2 = 5625 W`
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