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Part of ES-01 — Electrostatics

Cornell Notes — Full Topic: Electrostatics

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| Cue / Question | Notes | |---|---| | What are the three properties of electric charge? | Conservation (constant in isolated system), Quantization (q = ne), Additive (algebraic sum) | | State Coulomb's law | F = kq_{1}q_{2}/$r^{2}$; k = \$9 \times 10^{9}$ N $m^{2}$/$C^{2}$; [F] = [M$LT^{-2}$] | | What is electric field? | E = F/q_{0} = kQ/$r^{2}$; [E] = [M$LT^{-3}$$A^{-1}$]; unit: N/C or V/m | | What is a dipole moment? | p = q·2l; direction: −q → +q; [p] = [ATL]; unit: C·m | | State Gauss's law | Φ = q_enc/ε_{0}; Φ = ∮E·dA; unit: V·m | | E inside a conductor? | Always zero — free charges reside only on the surface | | E inside a uniformly charged insulator at r < R? | E = kQr/$R^{3}$ — increases linearly with r | | Axial vs equatorial dipole field ratio? | E_axial = 2kp/$r^{3}$; E_eq = kp/$r^{3}$; ratio = 2:1 | | Capacitor with dielectric, battery connected? | V constant; C increases by K; U increases by K | | Capacitor with dielectric, battery disconnected? | Q constant; C increases by K; V and U decrease by K | **Summary:** Electrostatics describes electric charge, forces (Coulomb's law), fields (including Gauss's law applications), dipole behavior, and capacitors. Key NEET focus: E inside conductors vs insulators, dipole field ratio (2:1), and the battery connected vs disconnected dielectric insertion scenario.$

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