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🧲 Lorentz Force Calculator

Calculate magnetic forces on moving charges and current-carrying conductors. Analyze electromagnetic interactions with detailed vector analysis and direction determination.

Calculation Type

Input Parameters

Lorentz Force on Moving Charge
F = q × v × B × sin(θ)
Force on a charged particle moving in a magnetic field
Right-Hand Rule:
👍 Thumb: velocity (v)
🤏 Fingers: magnetic field (B)
🖐️ Palm: force direction (F)
(For positive charges)

Results & Analysis

Enter values and click Calculate to see Lorentz force analysis results

Electromagnetic Force Theory

Lorentz Force

The force experienced by a charged particle moving in an electromagnetic field.

  • F = q(E + v × B) (full form)
  • F = qvB sin(θ) (magnetic only)
  • Force perpendicular to both v and B
  • Right-hand rule determines direction

Cyclotron Motion

Charged particles move in circular paths in uniform magnetic fields.

  • Radius: r = mv/(qB)
  • Frequency: f = qB/(2πm)
  • Period independent of velocity
  • Used in mass spectrometry

Applications

  • Electric Motors: Force on current-carrying wires
  • Mass Spectrometry: Particle separation
  • Hall Effect Sensors: Magnetic field detection
  • Particle Accelerators: Beam steering