JEE Main · PhysicsHard

An AC source with voltage is connected to a series LCR circuit. If the frequency of the source is varied such that the current in the circuit is maximum, the ratio of the voltage across the inductor to the voltage across the resistor is given by which of the following expressions?

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: A

Solution

  1. At resonance, and the current is .
  2. The voltage across the inductor is .
  3. The ratio .
  4. Substituting , we get .
  5. Hence the answer is (A).

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