A voltage of V = 150 < 60° V is applied to a load which carries a current of I = 50 < 30° A. The complex power supplied to the load is:

Question

Question

This question was previously asked in

MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper

Answer 1

Power in an AC circuit

The complex power in an AC circuit is defined as the product of phasor voltage and conjugate of phasor current.

S = V × I*

where, S = Complex power

V = Voltage

I* = Conjugate of current

Calculation

Given, V = 150∠60°

I = 50∠30°

S = (150∠60°) (50∠30°)^*

S = (150∠60°) (50∠-30°)

S = 7.5∠30° kVA