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Question: Two coils A and B are connected in series across a 240 V, 50 Hz supply. The resistance of A is 5W an...

Two coils A and B are connected in series across a 240 V, 50 Hz supply. The resistance of A is 5W and the inductance of B is 0.02H. The power consumed is 3 kW and the power factor is 0.75. The impedance of the circuit is-

A

0.144 W

B

1.44 W

C

14.4 W

D

144 W

Answer

14.4 W

Explanation

Solution

P = Ev2cosϕZ\frac { E _ { v } ^ { 2 } \cos \phi } { Z } Ž P = 3000 = (240)2(0.75)Z\frac { ( 240 ) ^ { 2 } ( 0.75 ) } { Z }

Ž Z = 14.4 W