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 of

Options

A. `2 mu F`
B. `1 mu F`
C. `8 mu F`
D. `4 mu F`

Answer

B

Explanation

`v = (1)/(2pi sqrt(LC))`
`50 = (1)/(2pisqrt(10 C))`
`rArr 2500 = (1)/(40 pi^(2)C)`
`rArr C = (1)/(2500 xx 40 xx 10)F = 10^(-6)F = 1 mu F`