First slide

Power in a.c. circuit

Question

The potential differences across the resistance, capacitance and inductance are $80 V$ , $40 V$ and $100 V$ respectively in an L-C-R circuit. The power factor of this circuit is

Easy

A

0.4
B

0.5
C

0.8
D

1.0

Solution

$Here, V_{R} = 80 V, V_{C} = 40 V, V_{L} = 100 V$
$Power factor, \cos ϕ = \frac{R}{Z} = \frac{V_{R}}{V} = \frac{V_{R}}{\sqrt{V_{R}^{2} + {(V_{L} - V_{C})}^{2}}}$
$= \frac{80}{\sqrt{(80)^{2} + (100 - 40)^{2}}} = \frac{80}{100} = 0.8$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App