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Part of ES-01 — Electrostatics

Electrostatics — One-Page Revision Card

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- **Charge:** q = ne; e = \$1.6 \times 10^{-19}$ C; conserved + quantized + additive - **Coulomb:** F = kq_{1}q_{2}/$r^{2}$; k = \$9 \times 10^{9}$; ε_{0} = \$8.85 \times 10^{-12}$; [F] = [M$LT^{-2}$] - **Field:** E = kQ/$r^{2}$; conductor inside = 0; insulator inside = kQr/$R^{3}$; [E] = [M$LT^{-3}$$A^{-1}$] - **Dipole:** p = q·2l; E_axial = 2kp/$r^{3}$; E_eq = kp/$r^{3}$; ratio 2:1; V_eq = 0 - **Gauss:** Φ = q_enc/ε_{0}; wire: λ/2πε_{0}r; plane: σ/2ε_{0}; sphere outside: kQ/$r^{2}$ - **Potential:** V = kQ/r; E = −dV/dr; equipotential W = 0; [V] = [$ML^{2}$$T^{-3}$$A^{-1}$] - **Capacitor:** C = ε_{0}A/d; dielectric: KC; series: 1/C_eq = Σ1/Cᵢ; parallel: C_eq = ΣCᵢ - **Energy:** U = ½$CV^{2}$ = $Q^{2}$/2C; connected battery → U×K; disconnected → U÷K$

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