Electrodynamics MOC

Biot-Savart Law

The Biot-Savart Law describes the production of a magnetic field by current in a wire (the converse situation to Magnetic force on a wire).

where is the permeability of free space. This is in many ways analogous to the law for Electric field around a point charge, but instead of the charge element we have the current element .¹, and since this current element is a vector we also use a cross product. Biot-Savart may be used to derive the general expression for the magnetic field.

Integrating over a whole wire to solve this is pretty awful, but there are a few special cases which simplify matters considerably: see Magnetic field from a circular wire loop and Magnetic field from a long straight wire.

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