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AC Generator 2D — Motional EMF vs Faraday's Law

Interactive 2D end-on view of an AC generator's rotating coil: instantaneous EMF is computed two independent ways every frame — the motional v x B force integrated along each moving wire, and a numerical -dPhi/dt on the loop's flux — and shown converging to the same sinusoid live.

Electromagnetism2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

Every alternator and turbogenerator reduces to one mechanic: spin a loop of wire inside a magnetic field. This 2D companion to the site's 3D AC-generator simulation looks straight down the rotation axis, so the coil's two long sides show up as two points orbiting a circle in a fixed field. Rather than reading a canned sine wave off a formula, the engine computes the instantaneous EMF two independent ways every frame — the motional force qv×B integrated along each physically moving wire, and a numerical −dΦ/dt taken directly from the loop's changing flux — and displays both alongside a live percentage "method agreement" so you can watch two different derivations of Faraday's law converge on the same live number in real time.

⚙ Under the hood

A 2D end-on view of an AC generator's rotating coil: instantaneous EMF is computed two independent ways every frame — the motional v×B force integrated along each moving wire, and a numerical -dΦ/dt on the loop's flux — shown converging live to the same sinusoid, with a running percentage 'method agreement' readout.

electromagnetismfaraday's lawmotional emfAC generatoralternatorinductionEMF

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install