1.

The self inductance of the motor of an electric fan is 10H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance ofA. `1 mu F`B. `2 mu F`C. `3 mu F`D. `4 mu F`

Answer» Correct Answer - A
Power is maximum at resonant frequency `(f_R)`
`f_(R) = 1/(2 pisqrt(LC)) :. F_(R)^(2) = (1)/(4 pi^(2)LC)`
`:. C = 1/(4pi^(2)f_(R)^(2)xxL)`
`1/(4 xx 10 xx 50 xx 50 xx 10) = 10^(-6)F = 1mu F`.


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