A signal generator supplies a sine wave of `200V, 5kHz` to the circuit shown in the figureure. Then, choose the wrong statement.
.

Options

A. The current in the resistive branch is 0.2 A
B. The current in the capacitive branch is 0.126 A
C. Total line current is `~~` 0.283 A
D. Current in both the branches is same

Answer

A, C, D

Explanation

`X_(C) = 1/omegaC = 1/2pi xx 5 xx 10^(3) xx 1/pi xx 10^(-6) = 100 Omega`
Since `X_(C) = R`
`thereforeI_(C) = I_(R) = 20/100 = 0.2 A`
`implies I = sqrt (0.2)^(2) + (0.2)^(2)` = 0.283 A