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Question: In an ac circuit V and I are given by V = 150 sin (150 t) V and I = 150 sin \(\left( 150 t + \fra...

In an ac circuit V and I are given by

V = 150 sin (150 t) V and

I = 150 sin (150t+π3)\left( 150 t + \frac { \pi } { 3 } \right) A

The power dissipated in the circuit is

A

5625 W

B

4825 W

C

7450 W

D

3425 W

Answer

5625 W

Explanation

Solution

P = Vrms Irms cos f

= (1502)\left( \frac { 150 } { \sqrt { 2 } } \right) (1502)\left( \frac { 150 } { \sqrt { 2 } } \right) cos p/3 = 5625 W