# Why the magnetic moment not included in the Lorentz Force equation.

1. Jun 25, 2012

### PolywellGuy

A charged particle - like an electron - has a magnetic moment. This moment changes depending on where the electron is.

If you apply a magnetic field to an object with a magnetic moment, it experiences a torque. It turns. This turning motion is not included in the overall motion of the electron. That is determined by the Lorentz force.

Is that why the magnetic moment of the electron is not included in the Lorentz force calculation for an electron?

2. Jun 25, 2012

### Meir Achuz

The force on a magnetic dipole is given by $F=(\mu\cdot\nabla){\bf B}$.
This force is in addition to the Lorentz force.