Physics C:
Electricity and
Magnetism Study Library.

Coulomb's Law (scalar and vector forms, superposition of forces) · Electric field from point charges and superposition principle · Electric field from continuous charge distributions (ring, disk, infinite line, infinite plane) via integration · Electric flux (Φ = ∫E·dA) · Gauss's Law (∮E·dA = Q_enc/ε₀) and selection of Gaussian surfaces · Applying Gauss's Law for spherical, cylindrical, and planar symmetry · Charge distributions on conductors (surface charge, interior field = 0, induced charges) · Conductors with cavities and shielding

Electric potential energy (U = qV) and work done by the electric force · Electric potential from a point charge (V = kq/r) and superposition of potentials · Electric potential from continuous charge distributions via integration · Potential difference (ΔV) and its relationship to work · Equipotential surfaces and their geometric relationship to field lines · Relationship between electric field and potential: E = –dV/dr (1D) and E = –∇V (3D) · Energy conservation in electric fields (K + U = constant) · Electric potential inside and outside conductors (V = constant inside conductor)

Properties of conductors in electrostatic equilibrium (E = 0 inside, field perpendicular to surface, charge on surface) · Capacitance definition: C = Q/V · Parallel-plate capacitor: C = ε₀A/d, derived from Gauss's Law and potential difference · Cylindrical and spherical capacitor derivations using Gauss's Law · Dielectric materials: dielectric constant κ, effect on C, E, and V at constant charge vs. constant voltage · Energy stored in a capacitor: U = Q²/2C = CV²/2 = QV/2 · Capacitors in series and parallel: equivalent capacitance · Cavity shielding: field and potential inside a conductor enclosure

Current density, drift velocity, and resistivity (ρ) · Resistance: R = ρL/A; Ohm's Law: V = IR · Power dissipation: P = IV = I²R = V²/R · EMF sources, terminal voltage, and internal resistance · Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) · Series and parallel resistor networks: equivalent resistance · RC circuits: charging q(t) = Q_max(1 – e^(–t/RC)) and discharging q(t) = Q₀e^(–t/RC); time constant τ = RC · RL circuits: current build-up and decay; time constant τ = L/R · Initial and final conditions: capacitor as wire (t = 0, uncharged) or open circuit (t → ∞); inductor as open circuit (t = 0, no current) or wire (t → ∞)

Magnetic force on a moving charge: F = qv × B (direction via right-hand rule) · Charged particle motion in a uniform magnetic field: circular and helical trajectories · Magnetic force on a current-carrying wire: F = IL × B · Torque on a magnetic dipole in a field: τ = m × B; magnetic dipole moment · Biot-Savart Law: dB = (μ₀/4π)(I dL × r̂ / r²) — integration for straight wire segment, circular loop, infinite wire, solenoid · Ampère's Law: ∮B · dL = μ₀I_enc — application for infinite wire, toroid, solenoid (selection and evaluation of Amperian loops) · Hall effect: Hall voltage and carrier sign determination · Magnetic materials (qualitative: ferromagnetic, paramagnetic, diamagnetic)

Magnetic flux: Φ_B = ∫B · dA · Faraday's Law: EMF = –dΦ_B/dt · Lenz's Law: direction of induced current opposes the change in flux · Motional EMF: EMF = BLv (and generalisation to non-uniform fields via integration) · Induced electric fields from time-varying magnetic flux (∮E · dL = –dΦ_B/dt) · Self-inductance: L = NΦ/I; induced EMF = –L(dI/dt) · Mutual inductance (qualitative and quantitative definition) · Energy stored in an inductor: U = LI²/2 · LR circuit time-domain behavior: I(t) = (EMF/R)(1 – e^(–Rt/L)); time constant τ = L/R · LC circuit oscillations: analogy to SHM, angular frequency ω = 1/√(LC) · Maxwell's equations in integral form: Gauss's Law (E and B), Ampère-Maxwell Law (with displacement current), Faraday's Law · Displacement current concept: ∂Φ_E/∂t term in Ampère-Maxwell Law