Lorentz Force Calculator

What is Lorentz Force?

A Lorentz force is the total force acting on a charged particle due to a magnetic field.

Formula

The formula to calculate the Lorentz force (F) is:

\[ F = q \cdot v \cdot B \cdot \sin(\alpha) \]

Where:

\( F \) is the force.
\( q \) is the particle charge.
\( v \) is the particle velocity.
\( B \) is the strength of the magnetic field.
\( \alpha \) is the angle between the direction of movement and the magnetic field.

Example

Let's say the particle charge (q) is 1 C, the particle velocity (v) is 2 m/s, the magnetic field strength (B) is 3 T, and the angle (α) is 90 degrees. Using the formula:

\[ F = 1 \cdot 2 \cdot 3 \cdot \sin(90^\circ) = 6 \text{ N} \]

So, the Lorentz force (F) is 6 N.