Point charge Q at distance r: V = . Uniformly charged ring (Q, radius R) on axis at distance x: V = ( + ). Uniformly charged sphere outside (r >= R): V = (point charge behavior). Inside solid sphere (r < R): V = kQ — note V is maximum at center: = 3 = \frac{3}{2}$$V_{surface}. Inside hollow sphere: V = (constant, equal to surface value). Electric dipole at far point (r, theta): V = kp*cos^2. Axial: V = ^2. Equatorial: V = 0 (the equatorial plane is at zero potential for a dipole). Key insight: V decreases as 1/r for point charge but as 1/ for dipole — dipole potential falls off faster.
Part of JES-02 — Electrostatic Potential, Capacitance & Energy
Potential Due to Standard Configurations
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