The self inductance of the motor of an electric fan is 10 H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance of:

Options

A. `4 muF`
B. `8muF`
C. `1muF`
D. `2muF`

Explanation

Given: `L = 10 H, f = 50 Hz`
For maximum power
`X _(C) = X _(L)`
`(1)/(omega C) = (1)/(omega L)`
`C = (1)/( omega ^(2) L) implies C = (1)/( 4pi ^(2) xx 50 xx 50 xx 10)`
`implies C = 0.1 xx 10 ^(-5) F =1 mu F`