Magnetostatics

Magnetostatics is the branch of electromagnetism that describes magnetic fields produced by steady electric currents and permanent magnets, with no time-dependent changes in the field configuration. These fields arise from moving charge or aligned magnetic moments and can be calculated from current distributions using the Biot–Savart law or Ampère’s law; a charged particle or current-carrying conductor experiences the Lorentz force in the resulting field. In physics, magnetostatic models clarify field lines, magnetic flux, and forces in systems ranging from coils and solenoids to magnetic materials. They support the design of motors, sensors, imaging instruments, and other technologies that use stable magnetic fields.

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JoVE Core - Physics

Magnetostatic Boundary Conditions

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2023

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

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