For the series `LCR` circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency

Options

A. `2500 rad - s^(-1) and 5 sqrt(2) A `
B. ` 2500 rad - s^(-1)and 5 A `
C. ` 2500 rad - s ^(-1) and (5)/(sqrt(2)) A `
D. ` 25 rad - s^(-1) and 5 sqrt(2) A `

Answer

B

Explanation

`omega = (1)/( sqrt(LC)) = (1)/( sqrt(8 xx 10^(-3) xx 20 xx 10^(-6)))= (10^(4))/(4) = 0.25xx 10^(4)`
= 2500 rad/sec
`I = (V)/(R) = (220)/(44) = 5A`