Current sheet

A current sheet idealizes electric current as supported on a surface. It produces a jump in the tangential magnetic field.

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- Magnetic-field jump across a surface current Current sheet

Magnetic-field jump across a surface current

For a surface current density

K

on an interface with unit normal

n

, Ampère's law gives

n \times (B_{+} - B_{-}) = \frac{4 π}{c} K

in Gaussian units, or

μ_{0} K

in SI units.

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Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 314 / 3 / c / Solution

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