Cyclotron (Schematic)

This interactive simulator explores Cyclotron (Schematic) in Electricity & Magnetism. B uniform, oscillating E in gap; spiral growth; ω_c = (q/m)B in sim units. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Electricity & Magnetism.

Key terms

  • cyclotron
  • schematic
  • cyclotron schematic
  • electricity
  • magnetism

How it works

**Classical cyclotron** idea: **uniform B** bends a charged particle into a **spiral**, while an **alternating E** in the **gap** between **dees** adds energy **in step** with **cyclotron frequency** **ω_c = qB/m** (non-relativistic). This canvas uses a **central strip** with **E ∝ sin(ω_c t)** and **B** out of the page — a **pedagogical** cartoon, not RF engineering or **relativistic** **synchrotron** corrections.

Key equations

F = q(E + v×B) · ω_c = qB/m · resonance: E flips each half-turn (ideal)