An a.c. source generating a voltage `E = E_0 sin omegat` is connected to a capacitor of capacitance C. Find the expression for current I, flowing through it. Plot a graph of E and I versus `omegat` to show that the current is `pi//2` ahead of the voltage.

In an a.c. circuit, an alternating voltage E = 200 sqrt2 sin 100t (in volt) is connected to a capacitor of capacitance 1muF . The r.m.s. value of the current in the circuit is

An a.c. voltage E = E_0 sin omegat is applied across an inductance L. Obtain an expression for the current in the circuit and hence obtain inductive reactance of the circuit .

An alternating voltage given by E = 280 sin 50 pit is connected across pure resistor of 40 Omega . Find r.m.s. current through the bulb.

An a.c. voltage E = E_0 sin omegat is applied across an inductance L. Obtain an expression for the current in the circuit and hence obtain the phse of the current flowing w.r.t the applied voltage.

An alternating voltage given by E = 280 sin 50 pit is connected across pure resistor of 40 Omega . Find frequency of the source.

An a.c. voltage E = E_0 sin omegat is applied across a series combination of an inductor L, a capacitance C and a resistor R. Use the phasor diagram solution to obtain expressions for the impedance of the circuit.

A coil of inductance L, a capacitor of capacitance C and a resistance R are all put in series with an alternating source of emf E=E_0 sin omegat . Write an expression for the total impendence of the circuit.

A capacitor of capacitance C_(1) = 1.0 muF carrying initially a voltage V = 300 V is connected in parallel with an uncharged capacitor of capacitance C_(2) = 2.0 muF . Find the increment of the electric energy of this system by the moment equilibrium is reached. Explain the result obtained.

An alternating voltage E=E_0 sin omegat is applied to a circuit containing a resistor R connected in series with a black box. The current in the circuit is found to be I = I_0 sin(omegat+pi/4) . State whether the element in the black box is a capacitor or indutor.

When an a.c. source of e.m.f. E = E_0 sin 100 t is connected across a cricuit, the phase difference between the e.m.f E and the current I in the cirucit is observed to be pi//4 , as shown in the figure. If the circuit consists possibly only of RC or RL or LC in series, find the relationship between the two elements