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Q.

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

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a

100Ω

b

25Ω

c

125×75Ω

d

400Ω

answer is B.

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Detailed Solution

In an ac circuit, pure capacitor does not consume any power. Therefore, power is consumed by the resistor only. ∴P=I2vR Or 100=(2)2R Or R=25Ω
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A resistor and a capacitor are connected to an ac supply of 200V, 50Hz in series. The current in the circuit is 2A. if the power consumed in the circuit is 100 watt, then the resistance in the circuit is