Show mathematically that in an a.c. circuit only containing capacitance, the current leads e.m.f by a phase angle `pi/2`.

Show mathematically that in an a.c. circuit containing only inductance, the current lags behind the e.m.f. by a phase of pi/2 . An a.c. voltage E=E_0 sin omegat is applied across an inductor L. Obtain an expression for current I.

Finda phase relation between current and voltage in an a.c. circuit containing a pure capacitance. A pure capacitor blocks directcurrent, why ?

Show that in an inductane, the voltage leads the current by pi//2 .

Find a phase relation between current and voltage in an a.c. circuit containing a pure inductor. Why high frequency current can not passthrough a pure inductor easily ?