Online Lorentz Force Calculator
Calculate the magnetic force exerted on a charged particle traveling through a magnetic field B. Essential for electromagnetism, particle physics, and cyclotron kinematics.
Lorentz Force Calculator
Calculate Lorentz magnetic force F = q·v·B·sin(α), orbital radius in magnetic field, and crossed field drift velocity
Calculation Results
Left-hand rule applies for negative charges (e.g., electrons), reversing the vector product direction.
How to use
- Input electric charge magnitude q in Coulombs.
- Enter particle velocity v in meters per second.
- Specify magnetic flux density B in Teslas (T).
- Enter angle α between velocity vector and magnetic field vector (degrees).
- View resulting Lorentz force in Newtons (N).
Calculation Example
For an electron (charge e ≈ 1.6 × 10⁻¹⁹ C) moving at 10⁶ m/s perpendicular to a 0.5 T magnetic field (α = 90°, sin(90°) = 1):
Lorentz force: F = q * v * B * sin(α) = 1.6 × 10⁻¹⁹ * 10⁶ * 0.5 * 1 = 8.0 × 10⁻¹⁴ N.
Calculation Methodology
The magnetic component of Lorentz force obeys F = |q| * v * B * sin(α). Direction follows the right-hand rule for positive charges (F = q * [v × B]).
Frequently Asked Questions
What is Lorentz Force?
The force exerted by an electromagnetic field on a charged particle in motion.
When is Lorentz force equal to zero?
When charge is stationary (v = 0), uncharged (q = 0), or moving parallel to magnetic field lines (angle α = 0° or 180°).
When is Lorentz force maximized?
When velocity vector is perpendicular to magnetic field lines (α = 90°).
Does the magnetic Lorentz force do work?
No, because the force is always perpendicular to velocity, doing zero work and altering only trajectory direction without modifying kinetic energy.
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