Lorentz Force Calculator | Physics EM Tool

The Lorentz Force Calculator allows you to compute the force experienced by a charged particle moving through electric and magnetic fields. This is essential in physics and engineering applications involving electromagnetism.

Lorentz Force Calculator

EXAMPLE:

• INPUTS:

  • Charge (q) : 1.6 x 10^-19 C
  • Charge particle Velocity (v) : 3 x 10^6 m/s
  • Electric Field (E) : 2000 V/m
  • Magnetic Field (B) : 0.5 T
  • Angle between velocity and magnetic field (θ) : 90 degrees

• OUTPUT:

• • Lorentz Force (F) : 2.403 x 10^-13 N

Lorentz Force Formula

The Lorentz force (F) acting on a charged particle is given by: $\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$ Interms of angle between v and B, it can also be expressed as: $F = q(E + vB \sin(\theta))$ Where,

• F = Lorentz Force (Newtons)
• q = Charge of the particle (Coulombs)
• E = Electric Field (Volts per meter)
• v = Velocity of the particle (meters per second)
• B = Magnetic Field (Teslas)
• × = Cross product indicating the vector nature of the magnetic force component

Key benefits of Using Lorentz force

• Accuracy : Provides precise calculations for forces on charged particles.
• Efficiency : Saves time compared to manual calculations.
• Educational : Aids in understanding electromagnetic interactions.
• Versatile : Applicable in various physics and engineering scenarios.

References

• Griffiths, D. J. (2017). Introduction to Electrodynamics (4th ed.). Cambridge University Press.
• Purcell, E. M., & Morin, D. J. (2013). Electricity and Magnetism (3rd ed.). Cambridge University Press.
• Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of Physics (10th ed.). Wiley.
• Serway, R. A., & Jewett, J. W. (2013). Physics for Scientists and Engineers (9th ed.). Cengage Learning.
• Tipler, P. A., & Mosca, G. (2007). Physics for Scientists and Engineers (6th ed.). W. H. Freeman.