Part of JES-01 — Electrostatics: Coulomb's Law, Field & Gauss's Law

Coulomb's Law — The Inverse Square Law

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F = 14piepsilon0\frac{1}{4*pi*epsilon_0} * |q1q2|/r2r^2 = k|q1q2|/r2r^2 where k = 9 x 10^9 N m2m^2 C^(-2). The force acts along the line joining the two charges. In vector form: F12F_{12} = kq1q2r12hatr\frac{r_12_hat}{r}^2 where r12r_{12} is the unit vector from q1 to q2. In a medium with relative permittivity (dielectric constant) K: FmediumF_{medium} = FvacuumK\frac{F_vacuum}{K}. Important: Coulomb's law applies strictly to point charges. For extended bodies, integration over the charge distribution is required. The constant epsilon0epsilon_0 = 8.854 x 10^(-12) C2C^2 N^(-1) m^(-2) with dimensional formula [M^(-1) L^(-3) T4T^4 A2A^2].

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