Home▸Electromagnetism▸2D Lorentz Force — Charged Particle Drift

🧭 2D Lorentz Force — Charged Particle Drift

2D Lorentz force simulator: real F = qE + qv×B integrated with RK4. Watch cyclotron circles, E×B drift and cycloid loops, with measured radius and frequency verified live against theory.

Electromagnetism2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryElectromagnetism

RenderingCanvas 2D

DifficultyModerate

Target FPS60

ControlsFour scenario buttons (Cyclotron, E×B Drift, Cycloid, Free Field) preload matching field/velocity presets. Sliders adjust B field strength and sign (-4 to 4 T), Ex and Ey (-4 to 4 V/m each), charge q (-3 to 3 e), mass m (0.5-5 u) and initial speed (0-8). Clicking the canvas relaunches the particle from that point. Restart, Clear Trail and Pause buttons control playback.

lorentz forcecyclotron motione cross b driftcharged particlemagnetic fieldrk4 integration2d

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⚙ Under the hood

A flat-plane charged particle simulator: real F = qE + qv×B integrated with RK4 each frame, uniform out-of-plane B and in-plane E fields, live-measured cyclotron radius and frequency checked against r = mv/(|q|B) and ω = |q|B/m, plus E×B drift and cycloid scenarios.

lorentz forcecyclotron motione cross b driftcharged particlemagnetic fieldrk4 integration2d

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