Alternating Current

JEE Main level, single correct, medium

75 of 190

Question 75 of 190

Given below are two statements:
Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor. In the light of above statements, choose the correct answer from the options given below:

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Answer: (C) Both Statement I and Statement II are false

For resonance to occur the condition is XL=XC{X}_{L}={X}_{C}.
So, both inductor and capacitor is required.
The power factor is given by cos⁡ϕ\cos \phi.
For an inductor the power factor is zero-lagging, cos⁡90∘=0\cos 90^{\circ}=0. The angle between the voltage and current is 90∘90^{\circ}.
For a capacitor the power factor is zero-leading.
Hence, both statements are false.

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