Question
Why does current in a steady state not flow in a capacitor connected across a battery? However momentary current does flow during charging or discharging of the capacitor. Explain.
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Answer
In the steady state, the displacement current and hence the conduction current, is zero as $|\overrightarrow{E}|$ between the plates, is constant.
During charging/discharging, the displacement current and hence the conduction current is non zero as $|\overrightarrow{E}|$ between the plates, is changing with time.
During charging/discharging, the displacement current and hence the conduction current is non zero as $|\overrightarrow{E}|$ between the plates, is changing with time.
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