An alternating current of 1.5 mA and angular frequency `300 rads^-1` flows through 10 kohm resistor and a `0.5muF` capacitor in series. Find the r.m.s. voltage across the capacitor and impedence of the circuit.

An a.c. source of 200 V, 50 Hz is conneted across a 300 ohm resistor and a capacitor of 25//pi muF in series. Calculate the current in the circuit.

A diode is connected to 220V (r.m.s) a.c. in series with a capacitor as shown in the figure. What is the voltage V across the capacitor is

Inductive resistance 25 ohm and capacitive resistance 75 ohm are connected across 250 V mains in series. Find the r.m.s. potential difference across inductor and capacitor.

An a.c. source of 200 V, 50 Hz is conneted across a 300 ohm resistor and a capacitor of 25//pi muF in series. Calculate the impedance

A capacitor, resistor of 5 ohm and an inductor of 50 mH are in series with an a.c. source marked 100V-50hz. It is found that voltage is in phase with the current. Calculate the capacitance of the capacitor and the impedance of the circuit.

An a.c. source of angular frequency omega is fed across a resistor R and a capacitor C in series. The current registered is I. If you the frequency of source is changed to omega//3 , maintaining the same voltage, current in the circuits is found to be halved. Caculate the ratio of reactance to resistance at the original frequency omega.