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Magnetism & electromagnetic induction formulas
26 formulas for Magnetism & electromagnetic induction, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Force on moving charge | F = qvB sin θ 🧮 Solve step by step | N |
| Lorentz force | F = q(E + v × B) 🧮 Solve step by step | |
| Force on current-carrying wire | F = BIL sin θ 🧮 Solve step by step | N |
| Radius in magnetic field | r = mv/(qB) 🧮 Solve step by step | m |
| Cyclotron frequency | f = qB/(2πm) 🧮 Solve step by step | Hz |
| Biot–Savart law | dB = (μ₀/4π) I dl sin θ / r² | |
| Long straight wire | B = μ₀I/(2πr) 🧮 Solve step by step | T |
| Centre of circular loop | B = μ₀I/(2R) 🧮 Solve step by step | T |
| Solenoid | B = μ₀nI 🧮 Solve step by step | n turns per metre |
| Toroid | B = μ₀NI/(2πr) 🧮 Solve step by step | |
| Ampère's law | ∮B·dl = μ₀I_enc | |
| Force between parallel wires | F/L = μ₀I₁I₂/(2πd) 🧮 Solve step by step | N/m |
| Torque on loop | τ = NIAB sin θ 🧮 Solve step by step | N·m |
| Magnetic flux | Φ = BA cos θ 🧮 Solve step by step | Wb |
| Faraday's law | ε = −N dΦ/dt | V |
| Motional EMF | ε = Blv | V |
| Self-inductance | ε = −L dI/dt | |
| Energy in inductor | U = ½LI² 🧮 Solve step by step | J |
| Transformer | Vₛ/Vₚ = Nₛ/Nₚ = Iₚ/Iₛ 🧮 Solve step by step | ideal |
| Inductive reactance | X_L = ωL = 2πfL 🧮 Solve step by step | Ω |
| Capacitive reactance | X_C = 1/(ωC) 🧮 Solve step by step | Ω |
| Impedance (LCR) | Z = √(R² + (X_L − X_C)²) 🧮 Solve step by step | Ω |
| Resonant frequency | f₀ = 1/(2π√(LC)) | Hz |
| RMS values | V_rms = V₀/√2; I_rms = I₀/√2 🧮 Solve step by step | |
| Average AC power | P = V_rms I_rms cos φ 🧮 Solve step by step | W |
| Time constant | RC circuit: τ = RC; LR circuit: τ = L/R | s |
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