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Question

Question: The impedance of a circuit consists of 3 ohm resistance and 4 ohm reactance. The power factor of the...

The impedance of a circuit consists of 3 ohm resistance and 4 ohm reactance. The power factor of the circuit is

A

0.4

B

0.6

C

0.8

D

1.0

Answer

0.6

Explanation

Solution

Z=R2+X2=42+32=5Z = \sqrt { R ^ { 2 } + X ^ { 2 } } = \sqrt { 4 ^ { 2 } + 3 ^ { 2 } } = 5

cosϕ=RZ=35=0.6\therefore \cos \phi = \frac { R } { Z } = \frac { 3 } { 5 } = 0.6