can current flow through a closed circuit if there is no potential difference?
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in a battery there is voltage even it is not connected anywhere. Thus voltage(Potential difference between two points) exists without current(flow of charge with respect to time) but current doesn't exist without voltage .
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the voltage is the same as in the conducting wire there is a voltage drop across the resistor and then there is no voltage difference on the return wire. So the answer is, yes , ac. current can exist in a closed circuit on the zero resistance wires
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