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A resistor and a capacitor are connected...

A resistor and a capacitor are connected to an ac supply of 200 V, 50 Hz, in series. The current in the circuit is 2A. If the power consumed in the circuit is 100 W then the resistance in the circuit is

A

(A) `100 Omega`

B

(B) `25 Omega`

C

(C) `sqrt(125xx75)Omega`

D

(D) `400 Omega`

Text Solution

Verified by Experts

The correct Answer is:
B
In an ac circuit capacitor does not consume any power. Therefore, power is cosumed by the resistor only.
`:. P= I_(V)^(2) R or 100 =(2)^(2) R or R = 25 Omega`
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