Lorentz Force Calculator

What this tool does

The force is always at right angles to the motion, so it bends a charged particle into a circle without ever speeding it up — that is the whole principle of a cyclotron and of the aurora. A charge moving straight along the field lines feels nothing at all, which is why the angle matters. The default mass is that of a proton.

Formula

F = q × v × B × sin θ ; r = m v ÷ (q B)

Variables

Worked example

Limitations

• The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
• The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.