Part of ES-01 — Electrostatics

Cornell Notes — Full Topic: Electrostatics

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Cue / QuestionNotes
What are the three properties of electric charge?Conservation (constant in isolated system), Quantization (q = ne), Additive (algebraic sum)
State Coulomb's lawF = kq_{1}q_{2}/r2r^{2}; k = 9×1099 \times 10^{9} N m2m^{2}/C2C^{2}; [F] = [MLT2LT^{-2}]
What is electric field?E = F/q_{0} = kQ/r2r^{2}; [E] = [MLT^{-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 lawΦ = 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/R3R^{3} — increases linearly with r
Axial vs equatorial dipole field ratio?E_axial = 2kp/r3r^{3}; E_eq = kp/r3r^{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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