Find F = q (E + v B) when E, v, and B are lined up as a one-dimensional sketch.
| Force (N) | – |
Use this calculator for the scalar Lorentz force when velocity is perpendicular to B and the electric and magnetic terms add along one line: F = q E + q v B. The magnetic part is really q v × B; here the magnitude of that cross product is used. An electron has q ≈ −1.6×10⁻¹⁹ C (the sign flips the force). Set B = 0 for a pure electric field.
A proton (q ≈ 1.602×10⁻¹⁹ C) in E = 1000 N/C, v = 10⁶ m/s and B = 0.01 T gives about 1.76×10⁻¹⁵ N. This is not a full 3D vector solver and does not include radiation reaction.
Charge (C): Signed charge. Proton ≈ +1.6e-19, electron negative.
E (N/C): Electric field along the line.
Speed (m/s): Speed. The magnetic term assumes v perpendicular to B.
B (T): Magnetic field. Zero if you only have E.
Force (N): q (E + v B).
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