Electromagnetism formulas
40 relations, each one a node in the derivation graph. Every symbol carries a declared base dimension, so every one of them can be checked.
- Ampere-Maxwell Law — B_circ = μ0·(I + ε0·dΦE/dt)
- Biot-Savart Law (Long Wire) — B = μ0·I / (2·π·r)
- Capacitance Definition — C = Q / V
- Energy Stored in a Capacitor — U = (1/2)·C·V^2
- Coulomb's Law — F = k·|q1·q2| / r^2
- Drift Velocity of Charge Carriers — v_d = I / (n·A·e)
- Electric Field of a Point Charge — E = k_e·Q / r^2
- Electric Potential Energy of a Charge Pair — U = k_e·q1·q2 / r
- Electric Potential of a Point Charge — V = k_e·Q / r
- Electric Power — P = V·I
- Electric Power (P = V^2/R) — P = V^2 / R
- Energy Density of an Electric Field — u = (1/2)·eps0·E^2
- Faraday Law — emf = -dΦB/dt
- Gauss Law (Electric) — ΦE = Q / ε0
- Gauss Law (Magnetism) — ΦB = 0
- Ideal Transformer Ratios — Vp/Vs = Np/Ns and Ip/Is = Ns/Np
- Energy Stored in an Inductor — U = (1/2)·Lind·I^2
- LC Resonant Frequency — f = 1 / (2·π·sqrt(Lind·C))
- Lorentz Force — F = q·(E + v·B)
- Magnetic Field at the Center of a Current Loop — B = mu0·I / (2·R)
- Magnetic Field Inside a Solenoid — B = mu0·n·I
- Magnetic Flux Through a Surface — Phi = B·A·cos(theta)
- Magnetic Force on a Current-Carrying Wire — F = I·L·B·sin(theta)
- Motional EMF of a Moving Conductor — emf = B·L·v
- Ohm's Law — V = I·R
- Ohm's Law (Solve I) — I = V / R
- Ohm's Law (Solve R) — R = V / I
- Parallel Capacitance — C_total = Σ Ci
- Parallel Inductance — 1/L_total = Σ(1/Li)
- Parallel-Plate Capacitance — C = eps0·A / d
- Power Dissipated in a Resistor — P = I^2·Rres
- Poynting Vector — S = (E·B) / μ0
- RC Charging Voltage vs Time — V(t) = V0 · (1 - exp(-t/(R·C)))
- RC Circuit Time Constant — τ = R·C
- RL Current Growth vs Time — i(t) = (V/R) · (1 - exp(-t·R/L))
- RMS Current from Peak Current — I_rms = I_peak / sqrt(2)
- RMS Voltage from Peak Voltage — V_rms = V_peak / sqrt(2)
- Series Capacitance — 1/C_total = Σ(1/Ci)
- Series Inductance — L_total = Σ Li
- Work Moving a Charge Through a Potential Difference — W = q·dV
Derive through any of them in the explorer — no account needed.