Created By : Vaibhavi Kumari

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 10, 2023

With the inputs of particle charge, magnetic field, and particle velocity, the Lorentz Force Calculator can help you find the Lorentz force. This excellent tool will make your Lorentz force equation computations a lot easier.

Magnetic feild B
Charge q
Velocity V

What is Lorentz Force?

The Lorentz Force is defined as the result of electromagnetic fields combining electric and magnetic forces on a point charge. It asserts that a moving charged particle is acted upon by a magnetic field.

The Lorentz force, on the other hand, is affected by the strength of the magnetic field, charge, and velocity. The direction of a force in this case is neither in the direction of particle motion nor in the direction of the magnetic field. Both the particle direction and the magnetic field are perpendicular to the Lorentz Force.

Lorentz Force Formula

Lorentz Force Formula is expressed as F = q v B sin(α)

  • Where, F = resulting force
  • v = velocity of the particle
  • B = magnetic field strength
  • α = angle between the direction of particle's trajectory and direction of magnetic field
  • q = particle charge

How to Calculate Lorentz Force?

To calculate the Lorentz force, follow the simple instructions here. They are on the same path.

  • Determine the particle charge, particle velocity, magnetic field strength, and angle first.
  • Replace all of these inputs in the Lorentz force formula, F = q v B sin(α )
  • If you simplify the equation, you can easily solve for the Lorentz force.

How to Use the Lorentz Force Calculator?

The following is the procedure how to utilise the Lorentz Force calculator

  • In the appropriate input areas, enter the charge of the magnetic field, charged particles, or particle velocity and ‘x’ for the unknown.
  • To receive the result, click the Calculate 'x' button.
  • Finally, the output field will show the value of x.

For more concepts check out to get quick answers by using this free tool.

Applications of Lorentz Force

Lorentz Force has a wide range of uses. It is used in science to accelerate particles in cyclotrons in the search for fundamental particle physics rules. It's also found in mass spectrometers, which can identify atoms and molecules. Electric motors, loudspeakers, and, maybe less commonly, railguns are all practical everyday applications.

Features of Lorentz Force Calculator

  • Instant calculations
  • Copyable results to other apps
  • Formula included as a guide.
  • Up to 16 decimal places are supported.
  • Provide support for a variety of units for each input.

FAQs on Lorentz Force Calculator

1. What is the method for calculating Lorentz force?

The Lorentz force is the force exerted on a charged particle q travelling between an electric field E and a magnetic field B at a velocity of v. The Lorentz force (named after Dutch scientist Hendrik A. Lorentz) is defined as F = qE + qv B for the whole electromagnetic force F on the charged particle.

2. Is the Lorentz force invariant?

Because a force is a vector rather than a scalar, it cannot be Lorentz-invariant.

3. Where does the Lorentz Force come into play?

Many technologies, such as cyclotrons and other circular route particle accelerators, use the Lorentz force. Mass spectrometers are a type of mass spectrometer. Velocity Filters are a type of velocity filter.

4. What are the Lorentz invariant quantities?

Different inertial observers obtain different E and p values for energy and momentum, but the formula yields the same value for the particle's rest energy. As a result, the particle's rest energy, m0c2, is a Lorentz invariant quantity.

5. Are the equations of Maxwell Lorentz invariant?

In other words, its fundamental rules, as summed up by the four Maxwell equations plus Lorentz's force law, are form-invariant under Lorentz transformations, i.e. when moving from one inertial frame to another.