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NEETPhysicsAlternating Current

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The frequency at which the current amplitude is maximum in a series LCR circuit is independent of the resistance of the circuit. Reason (R): The maximum current amplitude at resonance in a series LCR circuit is inversely proportional to the resistance of the circuit. In the light of the above state

Options

  1. ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  2. BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  3. CAssertion (A) is true but Reason (R) is false.
  4. DAssertion (A) is false but Reason (R) is true.

Correct answer

B. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

Step-by-step solution

Assertion (A) is true: The current amplitude in a series LCR circuit is maximum at resonance. The resonant frequency is given by f = 1 2 LC , which depends only on the inductance and capacitance, and is independent of the resistance. Reason (R) is true: At resonance, the inductive reactance and capacitive reactance cancel each other ( X_L = X_C ), making the impedance minimum and equal to the resistance ( Z = R ). The maximum current amplitude is I₀ = V₀ R , which is inversely proportional to the resistance. Howeve

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