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Part of JES-02 — Electrostatic Potential, Capacitance & Energy

Electric Potential — Definition and Point Charge

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Electric potential V at a point is the work done per unit positive charge by an external agent in bringing a test charge from infinity to that point against the electric field: V = W_ext/q_0 = -integral(E.dr) from infinity to the point. SI unit: volt (V) = joule/coulomb. Dimensional formula: [M L^2 T^(-3) A^(-1)]. For a point charge Q: V = kQ/r. Potential is a scalar — it has magnitude and sign but no direction. This makes it much easier to compute than E for complex charge distributions, since potentials add algebraically (not vectorially). Convention: V = 0 at infinity. The potential difference between two points A and B: V_A - V_B = -integral from A to B of E.dr = work done per unit charge in moving from B to A.

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