All Problems

Constant Magnetic Field, Magnetics

Problem 3.230

A uniform current of density \(j\) flows inside an infinite plate of thickness \(2 d\) parallel to its surface. Find the magnetic induction induced by this current as a function of the distance \(x\) from the median plane of the plate. The magnetic permeability is assumed to be equal to unity both inside and outside the plate.

Reveal Answer
B={μθjx inside the plate, μ0jd outside the plate B=\left\{\begin{array}{l} \mu_{\theta} j x \text { inside the plate, } \\ \mu_{0} j d \text { outside the plate } \end{array}\right.
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