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Question: Answered & Verified by Expert
The self inductance of the motor of an electric fan is $10 \mathrm{H}$. In order to impart maximum power at $50 \mathrm{~Hz}$, it should be connected to a capacitance of
PhysicsElectromagnetic InductionJEE MainJEE Main 2005
Options:
  • A
    $C=4 \mu F$
  • B
    $C=8 \mu F$
  • C
    $C=1 \mu F$
  • D
    $C=2 \mu F$
Solution:
1521 Upvotes Verified Answer
The correct answer is:
$C=1 \mu F$
$f=\frac{1}{2 \pi \sqrt{L C}}$
$C=\frac{1}{4 \times \pi^2 f^2 \times 10}$
$C=1 \mu F$

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