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Prostatics
Coulomb's Law
F = k(q₁q₂)/r²
Electric Field
E = F/q = kQ/r²
Potential (V)
V = U/q = kQ/r
Capacitance
C = Q/V
Magnetism
Lorentz Force
F = qvB sinθ
Wire Force
F = ILB sinθ
Biot-Savart
B = (μ₀I)/(2πr)
Faraday Law
ε = -N(dΦ/dt)
AC Circuits & Waves
Inductor Voltage
V = -L(dI/dt)
Impedance (Z)
Z = √[R² + (X_L - X_C)²]
Resonance
f₀ = 1 / (2π√LC)
Light Speed
c = 1/√(μ₀ε₀)
Maxwell's Equations
Gauss (E)
∮E·dA = Q/ε₀
Gauss (B)
∮B·dA = 0
Faraday
∮E·ds = -dΦ/dt
Ampere-Maxwell
∮B·ds = μ₀I + μ₀ε₀dΦ/dt