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 `5sqrt(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 `5sqrt(2) A`

Answer

B

Explanation

Resonance frequency
`omega=1/(sqrt(LC))=1/(sqrt(8xx10^(-3)xx20xx10^(-6)))`
`=2500rad//s`
Resonance current `=V/R=220/44=5A`