A signal generator supplies a sine wave of `200V, 5kHz` to the circuit shown in the figure. 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 `~~0.283A`
D. Current in both the branches is same

Answer

B

Explanation

`I_R=V_("rms")/R=20/100=0.2A`
`X_C=1/(2pifC)=1/((2pi)(5xx10^3)(1/pixx10^-6))`
`=100Omega`
`:. I_C=V_("rms")/X_C+200/100=2A`
`I_C is 90^@` ahead of the applied voltage and `I_R` is in phase with the applied voltage. Hence, there is as phase difference of `90^@` between `I_R` and `I_C` too.
`:. I=sqrt(I_R^2+I_C^2)`
`sqrt((2)^2(2)^2)`
`=283A`.