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 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

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.

Show that the current, in C R circuit leads the voltage by a phase angle tan^-1(1/(omegaCR))

If AC voltage of frequency 50Hz is applied on any inductor of l00mH, what will be the inductive reactance?

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).

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

What is the power dissipated in an ac circuit in which voltage and current are given by V=230sin(omegat+pi/2) and I=10sinomegat ?

When a 60 mH inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by 60°. If the inductor is replaced by a 0.5 uF capacitor, the voltage lags behind the current by 30°. What is the frequency of the AC supply ?