The self inductance of the motor of an electric fan is $10 \mathrm{H}$. In order to impart maximum power at…

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
  1. $C=4 \mu F$
  2. $C=8 \mu F$
  3. $C=1 \mu F$
  4. $C=2 \mu F$

Solution

$f=\frac{1}{2 \pi \sqrt{L C}}$ $C=\frac{1}{4 \times \pi^2 f^2 \times 10}$ $C=1 \mu F$

Asked in: JEE Main 2005

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