Part of MAG-02 — Electromagnetic Induction & Alternating Current

Glossary of Key Terms

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TermDefinitionFormula/Unit
Magnetic flux (Φ)Total magnetic field lines passing through a surface; Φ = BA cos θWeber (Wb) = T·m2m^{2}
EMF (electromotive force)Work done per unit charge; drives current in a circuitVolt (V)
Faraday's lawEMF induced = negative rate of change of fluxε = −dΦ/dt
Lenz's lawInduced current direction opposes the change in fluxDirection rule (no formula)
Motional EMFEMF induced by a conductor moving in a magnetic fieldε = Bvl (V)
Self-inductance (L)Property opposing change in current through same coilε = −L(dI/dt); unit: Henry (H)
Mutual inductance (M)Coupling coefficient between two coilsε_{2} = −M(dI1I_{1}/dt); unit: H
Eddy currentsInduced currents in bulk conductors; cause heatingReduced by lamination
RMS valueRoot mean square; DC-equivalent for powerV_rms = V0V_{0}/√2
Inductive reactance (X_L)Opposition of inductor to AC currentX_L = ωL (Ω\Omega)
Capacitive reactance (X_C)Opposition of capacitor to AC currentX_C = 1/(ωC) (Ω\Omega)
Impedance (Z)Total opposition in AC circuitZ = √(R2R^{2} + (X_L−X_C)^{2}) (Ω\Omega)
Power factorcos φ; ratio of active to apparent powercos φ = R/Z
Wattless currentCurrent component that does no workI_rms sin φ (A)
Resonant frequency (f_{0})Frequency at which X_L = X_Cf_{0} = 1/(2π√LC) (Hz)
Q-factorSharpness of resonance; voltage magnificationQ = ω_{0}L/R = (1/R)√(L/C)
TransformerDevice changing AC voltage/current via mutual inductionV_s/V_p = N_s/N_p
Turns ratioRatio of secondary to primary turnsN_s/N_p
Copper lossI2I^{2}R heating in transformer windingsI2I^{2} (watts)
Hysteresis lossEnergy lost in repeated B-H cycling of coreReduced by soft iron/silicon steel

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