The LCR series circuit is connected to an external emf `e=200sin100pit`. The values of the capacitance and resistance in the circuit are `1muF` and `100Omega` respectively. The amplitude of the current in the circuit will be maximum when the inductance is

Options

A. `(100)/(pi)H`
B. `(100)/(pi^(2))H`
C. `(200)/(pi)H`
D. `(200)/(pi^(2))H`

Answer

B

Explanation

At resonant frequency current is maximum
`f=(1)/(2pisqrt(LC))`
`omega=(1)/(sqrt(LC))`
`omega^(2)=(1)/(sqrt(LC))`
`L=(1)/(comega^(2))=(1)/(1xx10^(-6)xx10^(4)xx9.97)=(100)/(pi^(2))`