Lorentz Force & Cyclotron Motion Calculator

Force on a charged particle in electric and magnetic fields, with gyroradius and cyclotron frequency.

Results

Magnetic force—
Electric force—
Gyroradius—
Cyclotron frequency—
Cyclotron period—
Helix pitch—

How to use the Lorentz Force & Cyclotron Motion Calculator

  1. Enter or select: Particle, Speed v, Magnetic field B, Electric field E, Angle between v and B.
  2. Fill in what you know of: Custom charge, Custom mass — leave the unknown empty.
  3. The results (Magnetic force, Electric force, Gyroradius, Cyclotron frequency, Cyclotron period, Helix pitch) are calculated instantly as you type.
  4. Use “Copy link” to share the calculation with the same input values.

Formula

  • F = q(E + v × B)
  • r = m v⊥ / (|q| B)
  • f_c = |q| B / (2π m)
ExpressionApply operationsCalculated result