📜 Theorem, law or theory

Lorentz force

Fuerza de Lorentz

Date
1895 · confidence medium
Place
Leiden, Netherlands
Credited to
Hendrik Lorentz (full form, 1895); Oliver Heaviside (earlier vector form, 1889)
Field
Matter & energy

⚠️ Disputed: the sources disagree.

What was discovered

Lorentz, professor of theoretical physics at Leiden, derives the complete expression for the force on an electric charge in electric and magnetic fields (F = qE + qv×B), joining electromagnetism and particle mechanics.

Disputed priority: Oliver Heaviside had already written the magnetic part in modern vector notation in 1889, correcting J. J. Thomson's derivation (1881); Lorentz added the electric term and gave the definitive form in 1895.

What it led to

  • Complete formulation of classical electromagnetism alongside Maxwell's equations
  • Calculation of charged-particle trajectories in fields
  • Lorentz's electron theory of matter
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Sources✓ verified 2026-09-25