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Question: Answered & Verified by Expert
In an $L-C-R$ circuit inductance is changed from $L$ to $L / 2$. To keep the same resonance frequency, $C$ should be changed to
PhysicsAlternating CurrentJIPMERJIPMER 2012
Options:
  • A $2 C$
  • B $\frac{C}{2}$
  • C $4 C$
  • D $\frac{C}{4}$
Solution:
1197 Upvotes Verified Answer
The correct answer is: $2 C$
$v=\frac{1}{\sqrt{L C}}$
When $L$ is changed to $L / 2, C$ must be changed to 2 C to keep $v$ same.

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