define magnetic energy
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Magnetic energy and electrostatic potential energy are related by Maxwell's equations. The potential energy of a magnet of magnetic moment {\displaystyle \mathbf {m} }{\mathbf {m}} in a magnetic field {\displaystyle \mathbf {B} }\mathbf {B} is defined as the mechanical work of the magnetic force (actually magnetic torque) on the re-alignment of the vector of the magnetic dipole moment and is equal to:
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