Find the power factor for the given circuit.

This question was previously asked in

DMRC JE EE 2018 Official Paper 2

Option 4 : 0.6 lagging

CT 1: Network Theory 1

11608

10 Questions
10 Marks
10 Mins

**Concept:**

Power factor \(= \cos \theta = \frac{R}{Z}\)

\(Z = \sqrt {{R^2} + {X^2}}\)

Where R = resistance

Z = impedance

X = reactance

Power factor is unity when the circuit is purely resistive.

Power factor is lagging when the circuit is inductive.

Power factor is leading when the circuit is capacitive.

**Calculation:**

From the given diagram,

Resistance (R) per phase = 6 Ω

Reactance (X) per phase = 8 Ω

Impedance (Z) per phase = 10 Ω

Power factor = R/Z = 0.6

As the circuit is inductive, the power factor is lagging.