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Lorentz Force on a Moving Charge in a Magnetic Field Calculator

F = q · v · B · sin θ.

Compute the magnitude of the magnetic Lorentz force on a charged particle moving through a uniform magnetic field: F = q · v · B · sin θ, where q is charge (C), v is speed (m/s), B is field strength (T), and θ is the angle between v and B. Maximum at θ = 90°; zero when motion is parallel to the field.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

C
m/s
T
°

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

F = q · v · B · sin θ.

In depth

Compute the magnitude of the magnetic Lorentz force on a charged particle moving through a uniform magnetic field: F = q · v · B · sin θ, where q is charge (C), v is speed (m/s), B is field strength (T), and θ is the angle between v and B. Maximum at θ = 90°; zero when motion is parallel to the field.