Deduce an expression for mean value of current over a half cycle in an a.c circuit.

Find out the expression for rms current for AC current form?

Find the r.m.s. value of alternating current over a complete cycle.

A voltage V_0sinomegat is applied to a series LCR circuit, Derive the expression for the average power dissipated over a cycle. Under what condition is (i) no power dissipated even though the current flows through the circuit,(ii) maximum power dissipated in the circuit?

Deduce the expression for the electrostatic energy stored in a capacitor of capacitance C and having charge Q. How will the Energy stored.

One of the condions to get a wattless current in an ac circuit is

A resistor, R=300Omega and a capacitor , C=25muF are connected in series with an ac source. The peak value of voltage (V_0) and the frequency (f) of the source are 150 V and and 50/pi Hz respectively. Find the peak value of current and the power dissipated in the circuit.

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.

The equation of an a.c. current I = 50 sin 100 pit .Find the average value of current in positive half cycle.

A derive 'X' is connected to an ac source V=V_0sinomegat .The variation of voltage ,current and power in one cycle is shown in the following graph: Which of the curves A,B and C represent the voltage , current and the power consumed in the circuit ? Justify your answer .