Part of ES-01 — Electrostatics

Definitions Glossary — Electrostatics

by Notetube Official416 words4 views
TermDefinitionContext / Key Value
Electric chargeFundamental property of matter causing electromagnetic forceUnit: coulomb (C); e = 1.6×10191.6 \times 10^{-19} C
Quantization of chargeCharge exists only in integer multiples of eq = ne, n ∈ ℤ
Conservation of chargeTotal charge of an isolated system remains constantHolds in all physical processes
Coulomb's lawF = kq_{1}q_{2}/r2r^{2} between two point chargesk = 9×1099 \times 10^{9} N m2m^{2} C2C^{-2}
Permittivity of free spaceε_{0} = 8.85×10128.85 \times 10^{-12} C2C^{2} N1N^{-1} m2m^{-2}; relates E field to charge[ε_{0}] = [M^{-1}$$L^{-3}$$T^{4}$$A^{2}]
Electric fieldForce per unit positive test charge at a pointE = F/q_{0}; unit: N/C
Electric field linesImaginary lines showing direction of E; density ∝ field strengthStart on +q, end on −q; never cross
Superposition principleNet force/field = vector sum of individual contributionsApplies to both force and field
Electric dipoleSystem of two equal, opposite charges ±q separated by 2lp = q·2l; direction: −q to +q
Dipole momentp = q·2l; vector from −q to +q[p] = [ATL]; unit: C·m
Electric fluxΦ = ∮E·dA; total field lines through a surfaceUnit: V·m or N m2m^{2} C1C^{-1}
Gauss's lawTotal flux through closed surface = q_enc/ε_{0}Powerful tool for symmetric charge distributions
Electric potentialWork done per unit positive charge to bring it from ∞ to a pointV = kQ/r; unit: volt (V)
Equipotential surfaceSurface on which potential is constant everywhereE ⊥ equipotential surface; no work to move charge on it
CapacitanceCharge stored per unit voltage: C = Q/VUnit: farad (F); depends only on geometry
Dielectric constantK = C_dielectric/C_vacuum; dimensionless ratioK ≥ 1; for vacuum K = 1
Energy stored in capacitorU = ½CV2CV^{2} = Q2Q^{2}/2CUnit: joule (J)
Linear charge density (λ)Charge per unit length[λ] = [AL1AL^{-1}T]; unit: C/m
Surface charge density (σ)Charge per unit area[σ] = [AL2AL^{-2}T]; unit: C/m2m^{2}
Volume charge density (ρ)Charge per unit volume[ρ] = [AL3L^{-3}T]; unit: C/m3m^{3}

Like these notes? Save your own copy and start studying with NoteTube's AI tools.

Sign up free to clone these notes