Question

A single generator supplies a sine wave of 20V, 5kHz to the circuit shown in the figure. Then

0.2$\mu$F


20 V, 5kHz

• 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 0.24 A
• D. current in both the branches is same

Answer 1

Answer: (A), (B), (C)

The correct options are
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 0.24 A

$I_R=\frac{V_{rms}}{R}=\frac{20}{200}=0.2A$

$I_C=\frac{V_{rms}}{X_c}=\frac{20}{\frac{1}{2\pi \times 5\times {10}^3\times 0.2\times {10}^{-6}}}=0.126A$

I = $\sqrt{I_R^2+I_C^2}$ = 0.24A