Magnetic Torque Report¶
The torque 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 torque \(\mathbf{T}\) [N \(\cdot\) m] is then given by integrating over the surface \(S\) of the center pole body with
\[
\mathbf{T} = \int_S \mathbf{r} \times (\mathbb{T} \cdot \mathbf{n}) \, dS,
\]
where \(\mathbf{r}\) is the position vector, and \(\mathbf{n}\) is the normal along the surface.