Given below are two statements : Statement-I: The reactance of an ac circuit is zero. It is possible that…

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
  1. Both Statement I and Statement II are true.
  2. Both Statement I and Statement II are false.
  3. Statement I is true but Statement II is false.
  4. Statement I is false but Statement II is true.

Solution

The reactance of a circuit containing a capacitor and an inductor is given by X=XL-XC=ωL-1ωC. An AC circuit has zero reactance at resonance, i.e., when, XL=XC. 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.

Asked in: JEE Main 2022 (24 Jun Shift 2)

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