# Force exterted on a ferromagnetic object in a magnetic field

by grumpybuffalo
Tags: ferromagnetism, magnetic field, magnetism, solenoid
 P: 3,014 Force exterted on a ferromagnetic object in a magnetic field The formula is the following: $$\vec{F} = \int_{V}{d\mathbf{x}' \, \left(\vec{M}(\mathbf{x}') \cdot \nabla' \right) \vec{B}(\mathbf{x}')}$$
 P: 3,014 Also, there may be a torque on a magnetic material given by: $$\vec{\tau} = \int{d\mathbf{x}' \, \left( \vec{M}(\mathbf{x}') \times \vec{B}(\mathbf{x}') \right)}$$ As for the source, of these formulas, these are simply summations of the formulas given here: http://en.wikipedia.org/wiki/Magneti...agnetic_moment but for a continuous distribution of magnetization $\vec{M}(\mathbf{x}')$.