Skip to content

Magnetic Force Report

The force is calculated using the Maxwell stress tensor \(\mathbb{T}\) [Pa] given by

\[ \mathbb{T} = \mathbf{B} \otimes \mathbf{H} - \frac{1}{2} \left( \mathbf{B} \cdot \mathbf{H} \right) \mathbb{I}\, . \]

The force \(\mathbf{F}\) [N] is then given by integrating over the surface \(S\) of the center pole body with

\[ \mathbf{F} = \int_S \mathbb{T} \cdot \mathbf{n} \, dS, \]

where \(\mathbf{n}\) is the normal along the surface.