1. The Lorentz Force - Magnetic Pressure and Tension
The Lorentz Force - Magnetic Pressure and Tension.In the momentum equation (2.19) the Lorentz force, provides a link between the fluid equations and the electromagnetic equations. Given a prescribed flow, , the induction equation tells us how the magnetic field will evolve in time. As changes, the Lorentz force will provide a back reaction on the plasma producing a force that will modify the velocity through the equation of motion.

2. The Lorentz force
The Lorentz Force The flow of an electric current down a conducting wire is ultimately due to the movement of electrically charged particles (in most cases, electrons) along the wire. It seems reasonable, therefore, that the force exerted on the wire when it is placed in a magnetic field is simply the resultant of the forces exerted on these moving charges. Let us suppose that this is the case.

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