Dipole: two equal and opposite charges +q, -q separated by 2a. Dipole moment: p = q(2a), directed from -q to +q. SI unit: C m. For r >> a: Axial point (on the dipole axis): = 2kp/ (along p). Equatorial point (perpendicular bisector): = ^3 (opposite to p). General point at angle theta from axis: E = (kp/)sqrt(1 + 3(theta)). In a uniform external field E: Torque tau = p x E, |tau| = pEsin(theta). Potential energy U = -p.E = -pE*cos(theta). Stable equilibrium: theta = 0 (p parallel to E, U = -pE minimum). Unstable equilibrium: theta = pi (U = +pE maximum). Work to rotate from to : W = pE(cos() - cos()).
Part of JES-01 — Electrostatics: Coulomb's Law, Field & Gauss's Law
Electric Dipole — Moment, Field, and Torque
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