An ac source `e=E_0sinomegat` is applied across an ideal inductor of inductance L. Show mathematically that the current lags the voltage by a phase angle of `pi/2`.

An ac voltage e=E_0sinomegat is applied across an ideal inductor of self-inductance [L]. Write down the peak current.

An ac voltage e= E_0 sinomega t is applied across an ideal inductor of slef inductance L. Write down the peak current.

An alternating voltage E=E_0sinomegat is applied across an inductor L. Show by calculation that the current lags the voltage by a phase angle pi//2 (Assume inductor L has no resistance).

A small signal voltage V(t) = V_0sinomegat is applied across an ideal capacitor C.

A pure inductive coil is connected between the sides of an AC source. Show mathematically that the current will lag behind the AC voltage by a phase-difference of pi/2

AC voltage is applied on purely inductive circuit of inductance L. If the voltage be e= E_0sin (omegat) then show mathematically current lags behind the voltage by a phase difference pi/2

A voltage V_0sinomegat is applied across a series combination of resistance R and inductor L. The peak value of the current in the circuit is

Show that the current leads the voltage by an angle of pi/2 in a purely capacitive a.c. circuit.

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. V=V_0sinomegat electromotive force is applied to an alternating circuit consisting of resistance R' and an inductor of self-inductance L. The phase difference between the voltage and current is

An a.c. source generating voltage e=e_@ sin omegat is connected to a capacitor of capacitance C . Find the expression for the current I flowing through it. Plot a graph of e and I versus omegat