A voltage is a scalar potential on the vertices of an electrical network. Away from prescribed boundary vertices it is harmonic, and its difference across an edge drives current through that edge.
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Voltage, also known as electrical potential difference, is a measure of the electric potential energy per unit charge between two points in an electrical circuit. It represents the work done to move a charge from one point to another against an electric field. The unit of voltage is the volt (V), which is defined as one joule per coulomb (1 V = 1 J/C).