Lorentz Force Calculator
The magnetic Lorentz force acts perpendicular to both velocity and magnetic field, causing circular motion. It powers electric motors, particle accelerators, and mass spectrometers.
Formula & Reference
| Variable | Symbol | Formula | Units |
|---|---|---|---|
| Magnetic Force | F | F = qvB sinθ | N |
| Velocity | v | v = F/(qB sinθ) | m/s |
| Charge | q | — | C |
| B Field | B | — | T |
| Angle | θ | Between v and B | deg |
Step-by-Step Examples
Electron q=1.6e-19 C, v=2e6 m/s, B=0.05 T, theta=90.
- F = 1.6e-19 * 2e6 * 0.05 * sin90
- F = 1.6e-14 N
Proton q=1.6e-19, v=1e7 m/s, B=1.5 T.
- F = 1.6e-19 * 1e7 * 1.5 = 2.4e-12 N
Particle moves parallel to B (theta=0).
- F = qvB sin(0) = 0
- No force — particle goes straight
Real-World Applications
Common Mistakes to Avoid
F = qvB sin(theta). Zero force when v parallel to B. Maximum when perpendicular.
Force is perpendicular to v — changes direction not speed.
This calculator gives magnitude only. Use right-hand rule for direction.
Frequently Asked Questions
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Formula Explorer connections
Interpretation: This relationship connects motion, force, momentum, work or energy in a mechanical system. Assumption: Choose a consistent reference direction and unit system. The model may assume constant acceleration, rigid bodies, negligible losses or an isolated system.