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COMEDK2021PhysicsAlternating Current

For the same resonant frequency, if L is changed from L to L 3 , then capacitance should change from C to

Options

  1. AC 3
  2. B3 C
  3. C2 3 C
  4. D2 C

Correct answer

B. 3 C

Step-by-step solution

The resonant frequency f of an LC circuit is given by the formula f = 1 2 LC . Since the resonant frequency f remains the same, the product LC must remain constant. Let the initial values be L and C , and the new values be L' and C' . Given L' = L 3 , we have LC = L'C' . Substituting the value of L' into the equation: LC = ( L 3 ) C' . Solving for C' , we get C' = 3C . Answer: 3 C

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