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The self inductance of the motor of an e...

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:

A

`1 mu F`

B

`2 mu F`

C

`4 mu F`

D

`8 mu F`

Text Solution

Verified by Experts

The correct Answer is:
A
Maximum power is imparted at resonance frequency.
As resonance frequency, `upsilon_(r ) = 1/(2pisqrt(LC)) implies C = 1/(4 pi^2 upsilon_r^2L)`
Here, `upsilon_r = 50 Hz, L = 10 H`
`C = 1/(4 pi^2 upsilon_r^2L) = 1/(4pi^2(50Hz)^2(10H)) = 1/(10^5pi^2) F = 10^(-6) F ~~ muF`.
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