Question

a) Derive the expression for the current flowing in an ideal capacitor and its reactance when connected to an ac source of voltage V=Vosinωt.  b) Draw its phasor diagram.  c) If resistance is added in series to capacitor what changes will occur in the current flowing in the circuit and phase angle between voltage and current​

Answer 1

Answer:

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Explanation:

When an ideal capacitor is charged by dc battery, charge flows momentarily till the capacitor gets fully charged .Ideal capacitor means infinte resistance for dc.

When an ac source is connected to the capacitor, conduction current, ic=dtdq continuously flows in the connecting wire. Due to changing current, charge deposited on the plates of the capacitor changes with time.This causes change in electric field between the plates of the capacitor which cause the electric flux to change and gives rise to the displacement current in the region between the plates of the capacitor.

Displacement current is given by,

id=ϵodtdϕE and id=ic at all instant.