Answer Posted / premalatha

The way capacitors and resistors behave is totally
different. While resistors allow a current to flow through
them which is proportional to the voltage drop across the
resistor, capacitors oppose a change in voltage across them
by either drawing in or supplying current as they charge or
discharge resp. The flow of current through a capacitor is
thus directly proportional to the rate of change of voltage
across it.

This is given by the relation, i = C* (de/dt) where de/dt is
the instantaneous change in voltage.

As the voltage does not change in the case of DC, de/dt = 0
and the current that is allowed to pass through by the
capacitor is 0. For AC voltage the voltage changes in a
regular manner. Hence here de/dt is not 0 and a current is
allowed to flow through by the capacitor.

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