
The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Answer to Problem 1CQ
The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.
Explanation of Solution
As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.
The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.
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