First slide

Phasors and Phasor Diagrams

Question

In an ac circuit the potential difference V and current I are given respectively by V = 100 sin (100 t) volt and $I = 100 \sin (100 t + \frac{π}{3}) m A$ .The power dissipated in the circuit will be

Moderate

A

$10^{4} W$
B

10 W
C

2.5 W
D

5 W

Solution

power consumption $P_{a v}$ = $E_{r m s} I_{r m s} \cos ϕ = \frac{100}{\sqrt{2}} \frac{100}{\sqrt{2}} x 10^{- 3} \cos (60^{0}) = 2.5 W$

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