Calculate the force on a charged particle moving through electric and magnetic fields.
Field Parameters
V/m
T
°
Force Results
Enter charge and field values
About this calculator
Quick Reference
qCharge
EElectric Field
BMagnetic Field (Flux Density)
vVelocity
e1.602 x 10⁻¹⁹ C
Overview
The Lorentz force is the total force exerted by electric and magnetic fields on a moving electric charge. It is the fundamental principle behind electric motors, cyclotrons, and mass spectrometers.
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Pro Tips
The electric force F_e = qE acts in the direction of the field.
The magnetic force F_m = q(v × B) acts perpendicular to both v and B (Right-Hand Rule).
Total Force F = q(E + vBsinθ) assuming vectors are aligned for maximum effect.
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Fun Facts
"Wait, did you know that the Lorentz force is what protects Earth from solar radiation? The Earth's magnetic field deflects charged particles from the Sun, creating the beautiful Aurora Borealis!"
"Old 'fat' TV sets used the Lorentz force to steer a beam of electrons across the screen to create an image."
"Mass spectrometers use the Lorentz force to sort atoms by their weight, helping scientists identify mysterious chemical samples."
