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Part of ES-01 — Electrostatics

Definitions Glossary — Electrostatics

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| Term | Definition | Context / Key Value | |---|---|---| | Electric charge | Fundamental property of matter causing electromagnetic force | Unit: coulomb (C); e = \$1.6 \times 10^{-19}$ C | | Quantization of charge | Charge exists only in integer multiples of e | q = ne, n ∈ ℤ | | Conservation of charge | Total charge of an isolated system remains constant | Holds in all physical processes | | Coulomb's law | F = kq_{1}q_{2}/$r^{2}$ between two point charges | k = \$9 \times 10^{9}$ N $m^{2}$ $C^{-2}$ | | Permittivity of free space | ε_{0} = \$8.85 \times 10^{-12}$ $C^{2}$ $N^{-1}$ $m^{-2}$; relates E field to charge | [ε_{0}] = [$M^{-1}$$L^{-3}$$T^{4}$$A^{2}$] | | Electric field | Force per unit positive test charge at a point | E = F/q_{0}; unit: N/C | | Electric field lines | Imaginary lines showing direction of E; $density \propto field$ strength | Start on +q, end on −q; never cross | | Superposition principle | Net force/field = vector sum of individual contributions | Applies to both force and field | | Electric dipole | System of two equal, opposite charges ±q separated by 2l | p = q·2l; direction: −q to +q | | Dipole moment | p = q·2l; vector from −q to +q | [p] = [ATL]; unit: C·m | | Electric flux | Φ = ∮E·dA; total field lines through a surface | Unit: V·m or N $m^{2}$ $C^{-1}$ | | Gauss's law | Total flux through closed surface = q_enc/ε_{0} | Powerful tool for symmetric charge distributions | | Electric potential | Work done per unit positive charge to bring it from ∞ to a point | V = kQ/r; unit: volt (V) | | Equipotential surface | Surface on which potential is constant everywhere | E ⊥ equipotential surface; no work to move charge on it | | Capacitance | Charge stored per unit voltage: C = Q/V | Unit: farad (F); depends only on geometry | | Dielectric constant | K = C_dielectric/C_vacuum; dimensionless ratio | K ≥ 1; for vacuum K = 1 | | Energy stored in capacitor | U = ½$CV^{2}$ = $Q^{2}$/2C | Unit: joule (J) | | Linear charge density (λ) | Charge per unit length | [λ] = [$AL^{-1}$T]; unit: C/m | | Surface charge density (σ) | Charge per unit area | [σ] = [$AL^{-2}$T]; unit: C/$m^{2}$ | | Volume charge density (ρ) | Charge per unit volume | [ρ] = [A$L^{-3}$T]; unit: C/$m^{3}$ |$

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