The potential difference between two points in a circuit is 1 volt if:
1 joule of work is done in moving 1 coulomb of charge
Potential difference is the work done in moving a unit charge between two points: V = W/Q.
So V = 1 volt when W = 1 joule and Q = 1 coulomb, that is 1 V = 1 J/C.
Energy per second is power, and current flowing for a time gives charge, not potential difference.
Hence, the answer is when 1 joule of work is done in moving 1 coulomb of charge.
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