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Assertion (A): Kirchhoff's Voltage Law (KVL) is applicable to the AC circuit described. Reason (R): The voltage across the capacitor (V_C) in the circuit equals 2 V (all voltages given as RMS). Choose the correct option: (A) Both assertion and reason are true and reason correctly explains the assertion. (B) Both are true but reason is not the correct explanation. (C) Assertion is true but Reason is false. (D) Both are false.

1. (A) Both the assertion and reason are true and reason is a true explanation of the assertion.
2. (B) Both the assertion and reason are true but the reason is not true the correct explanation of the assertion.
3. (C) Assertion is true but Reason is false.
4. (D) Both the Assertion and Reason are false.

Correct answer: (C) Assertion is true but Reason is false.

Solution

KVL is universally valid for all circuits (AC or DC), so Assertion is true. However, in AC circuits voltages across different elements cannot be added arithmetically; phasor addition is required. The specific claim V_C = 2V is generally inconsistent with straightforward arithmetic of the given RMS voltages, making the Reason false.

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