Question

V=10 cos(100t+60degree) i=5 sin(100t+60degree) the complex power across the passive element in an ac circuit wikipedia

Answer 1

Explanation:

Power in an AC circuit is given by:

P=VI

Where $V= V_m sin (\omega t+\theta_1)$ is the ac voltage and $I=I_m sin (\omega t+\theta_2)$ is the current in the ac circuit.

It is given that:

V = 10 cos (100t+60) V

I = 5 sin ( 100t +60) A

Because the Voltage and current are out of phase,

$P =VI$

$P=10 cos (100t+60) \times5 sin ( 100t +60)=50 cos(100t+60)sin(100t+60)$