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I don't think such a unit is used, or would make much sense, in physics. That sounds like the description of voltage - unit volt. However, the volt is not really a difference in electric charge, but rather, of electric potential. It can be understood as potential energy related to electric fields: if there is an electric potential between two points, it requires a certain amount of energy to move a unit charge from one point to the other. Thus, the unit volt is equivalent to joules / coulomb.

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