An sinusoidal voltage of peak value 300 V and an argular frequency `omega` = 400 `rads^(-1) ` is applied to series L-C-R circuit , in which R = ` 3 Omega` , L = 20 mH and C = 625 `mu`F .The peak current in the circuit is

Options

A. `30sqrt(2)`A
B. 60 A
C. 100 A
D. `60sqrt(2)`A

Answer

B

Explanation

The impedance of the circuit is
Z = `sqrt R^(2) + (underset(L)(X)- underset(C )(X))^(2)`
`underset(L)(X)= omegaL = 400 xx 20 xx 10^(-3)= 8 H`
`X_(C)` = `1omegaC = 1/400 xx 625 xx 10^(-6)` = 4F
Z = `sqrt (3)^(2) + (8 - 4)^(2)` = 5
I = `E/Z = 300/5 = 60 A`