Answer:
A) complex power = apparent power = ( 108.253 + 62.5 i ) VA
active power = 108.25 watts
reactive power = 62.5 VAR'S
power factor = cos ∅ = cos 30° = 0.866 ( lagging )
also ; current lags voltage by 30°
B) your question is not well written hence no answer
Explanation:
A) v(t) = 100 cos (377t - 30° ) v
Vrms = ∠ -30°
I(t) = 2.5cos(377t- 60°) A
Irms = ∠ -60°
determine complex power apparent power . ...... power factor
Note : complex power = apparent power
=( Irms ) * Vrms
= ( ∠ -60° ) * (
∠ -30° )
= 125 ∠ 30°
= ( 108.253 + 62.5 i ) VA ( complex power )
active power = 108.25 watts
reactive power = 62.5 VAR'S
power factor = cos ∅ = cos 30° = 0.866 ( lagging )
current lags voltage by 30°