Question

A capacitor and a resistor of resistance $100\sqrt{3}\Omega$ are connected in series to an ac source of voltage $100\sin(200t)$ V, where 't' is time in second. If the phase difference between the voltage and the current in the circuit is 30$^\circ$, then the capacitance of the capacitor is

• A. 30 $\mu$F
• B. 50 $\mu$F
• C. 100 $\mu$F
• D. 150 $\mu$F

Hint:

For a series RC circuit, remember the impedance triangle, which gives the relationship $\tan\phi = X_C/R$. Also, identify the angular frequency $\omega$ from the AC voltage or current equation of the form $V_0\sin(\omega t)$.

Answer 1

The Correct Option is B