Question
Explain why current flows through an ideal capacitor when it is connected to an a.c. Source but not when it is connected to a do. Source in a steady state.

Answer

For a.c. source, circuit is complete due to the presence of displacement current in the capacitor. For steady dc, there is no displacement current, therefore, circuit is not complete.

Alternate Answer

[Capacitive reactance $\text{X}_{c} =\frac{1}{2\pi\text{fC}} = \frac{1}{\omega\text{t}}$

So, capacitor allows easy path for a.c. Source. For d.c, f= 0, so Xc = infinity, So capacitor blocks d.c].

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