When a capacitor is connected to a battery,

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(C) When a capacitor is connected to a battery ($DC$ source),the capacitor begins to charge. Initially,the potential difference across the capacitor i

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a current flows for some time and finally it decreases to zero.

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(C) When a capacitor is connected to a battery ($DC$ source),the capacitor begins to charge. Initially,the potential difference across the capacitor is zero,so the current is maximum. As the capacitor charges,the potential difference across it increases,which opposes the flow of charge. Consequently,the current decreases exponentially. Once the capacitor is fully charged,the potential difference across the capacitor equals the battery voltage,and the current becomes zero. Thus,a transient current flows for some time and finally decreases to zero.

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