a) Derive the expression for the current flowing in an ideal capacitor and its reactance when connected to an ac source of voltage `V=V_0sin omegat`
b) Draw its phasor diagram.
c) If resistance is added in series to capacitor what changes will occur in the current flowing in the circuit and phase angle between voltage and current.

Prove that the current flowing through an ideal inductor connected across a.c. source, lags the voltage in phase by pi/2 .

An inductor, capacitor and resister are connected in series to an a.c. source (V = V_0 sin omega t) . Draw a circuit diagram of L.C.R. series circuit with applied a.c. voltage.

A 0.21 H inductor and a 12 ohm resistance are connected in series to a 220 V . 50 Hz ac source. Calculate the current in the circuit and the phase angle between the current and the source voltage.

A 0.21 H inductor and a 12 ohm resistance are connected in series to a 220 V . 50 Hz ac source. Calculate the current in the circuit and the phase angle between the current and the source voltage.

In a series LCR circuit connected to an ac source of voltage v=v_msinomegat , use phasor diagram to derive an expression for the current in the circuit. Hence obtain the expression for the power dissipated in the circuit.Show that power dissipated at resonance is maximum.

A capacitor of capacitive reactance 5omega is connected with A.C. source having voltage V = 3 sin (omegat + pi//6) . Find rms and Peak voltage rms and peak current and instantaneous current

An a.c. source generating a voltage v=v+(m) sin omega t is connected to a capacitor of capacitor of capacitance C. Find the expression for the current, I, flowing through it. Plot a graph of v and I versus omega t to show that the current is pi//2 ahead of the voltage. A resistor of 200 Omega and a capacitor of 15.0 mu F are connected in series to a 220 V, 50 Hz a.c. source. Calculate the current in the circuit and the rms voltage across the resistor and the capacitor. Is the algebraic sum of these voltages more than the source voltages ? If yes, resolve the paradox.

A device X is connected across an ac source of voltage V=V_0sinomegat . The current through X is given as I=I_0sin(omegat+pi/2) . Draw the phasor diagram for the device X.

A student connects an ac source of emf (V = V_0 sin omega t) in series to a circuit having a capacitor of capacitance C. In this circuit, find the expression for instantaneous current through the capacitor.