Electromagnetic problem
An analytical case is presented in order to show that the airgap Maxwell Tensor method is taking into account the Lorentz forces (sometimes called Laplace forces).![](https://e-nvh.eomys.com/wp-content/uploads/2022/06/laplacemtsmall-d6795-300x263.jpg)
Lorentz force
According to the Lorentz force acting on a section L of the wire is given by:
Maxwell Tensor
According to the Maxwell Tensor method, the total magnetic force![Rendered by QuickLaTeX.com \textbf{F}_m](https://e-nvh.eomys.com/wp-content/ql-cache/quicklatex.com-7f953979075ec9f9719ce3bbd81ab78c_l3.png)
![Rendered by QuickLaTeX.com F_y = 0](https://e-nvh.eomys.com/wp-content/ql-cache/quicklatex.com-6dd517071eea6a1a51ac564cb13091a3_l3.png)
Conclusion
Then the Lorentz’s forces and the Maxwell forces are equal in this case: