Alternating Current

JEE Main level, single correct, medium

27 of 190

Question 27 of 190

Given below are two statements :
Statement-I: The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor.

Statement-II: In ac circuit, the average power delivered by the source never becomes zero.

In the light of the above statements, choose the correct answer from the options given below

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Answer: (C) Statement I is true but Statement II is false.

The reactance of a circuit containing a capacitor and an inductor is given by X=XL−XC=ωL−1ωCX={X}_{L}-{X}_{C}=\omega L-\dfrac{1}{\omega C}. An AC circuit has zero reactance at resonance, i.e., when, XL=XC{X}_{L}={X}_{C}. So, first statement is true.
The power consumption in an AC circuit is zero when circuit contains only inductance or capacitance since average power consumed in a cycle is zero for inductance or capacitance. So, second statement is false.

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