Lorentz Force Calculator

Lorentz Force Calculator

Compute electric and magnetic components of the force on a point charge.

2026-05-06T10:07:27.082Z

e ≈ 1.602e-19 C

Results

Total Force (F)

9.6120e-17 N

Electric Component

1.6020e-17 N

Magnetic Component

8.0100e-17 N

Formula

F = q(E + v × B) = qE + qvB sin(θ)

Magnetic force uses sin(θ) where θ is the angle between velocity and magnetic field. This simple form sums components for quick estimates.

How to use

Set the charge, E-field, velocity, B-field and the angle between v and B in degrees. Results update automatically and are shown in scientific notation.

Example

For an electron (−1.602e-19 C) in E=100 V/m, v=1e6 m/s, B=0.5 T, θ=90°, magnetic component qvB ≈ ... (use the calculator to see the value).

FAQs

Q: Are directions included? A: This calculator shows scalar magnitudes; vector directions are not represented. Q: Units? A: SI (C, V/m, m/s, T, degrees).

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