AIIMS 2018 Physics LC Circuits MCQ Question
Assertion : When the frequency of the AC source in an LCR circuit equals the resonant frequency, the reactance of the circuit is zero, and so there is no current through the inductor or the capacitor.
Reason : The net current in the inductor and capacitor is not zero.
If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
In an AC circuit, the current through a capacitor (I_C) leads the voltage by 90 degrees, while the current through an inductor (I_L) lags the voltage by 90 degrees. When these currents are considered together, they are out of phase, resulting in a net current of zero at certain points in the cycle, particularly at resonance. Since options B, C, and D are not provided with any context or relevant information, they cannot be evaluated or deemed correct in relation to the statement about the currents in the capacitor and inductor. Understanding the phase relationship between current and voltage in reactive components is crucial for analyzing AC circuits.
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