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

Options

A. (A) `100 Omega`
B. (B) `25 Omega`
C. (C) `sqrt(125xx75)Omega`
D. (D) `400 Omega`

Answer

B

Explanation

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`