Cyclotron
Half-period T/2=πm/(qB) independent of speed; each gap crossing adds qU; radius grows as √n.
Magnetism & inductionB-fields, Ampere force, Faraday/Lenz, and AC basics.
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Cyclotron
Cyclotron: particles accelerated in D-shaped cavities. This “Cyclotron” page is an MVP interactive sketch — formulas, controls, and live readouts in the browser; a fuller bench may follow.
Cyclotron: particles accelerated in D-shaped cavities.
Key formulas
f=qB/(2\pi m)E_k=q^2B^2R^2/(2m)
How to use
- Adjust parameters in the left panel.
- Use play / pause and speed controls.
- Match right-side readouts to the formulas.
- Reset to return to the initial state.
Applications
- Cyclotron: Cyclotron: particles accelerated in D-shaped cavities.
- Classroom focus: each gap crossing adds qU.
FAQ
What does MVP mean on this page?
An interactive sketch with formulas and parameters. Polished Ready labs are the full bench experience.
What does the “Cyclotron” lab practice?
Tune parameters and match readouts to the “Cyclotron” relations — useful for prep and demos.
How do I find the Ampere force direction?
Left-hand rule: B into palm, fingers along I, thumb along F.
When is there an induced current?
When flux through a closed loop changes, or a conductor cuts field lines.