All Problems

Constant Magnetic Field, Magnetics

Problem 3.224

A current \(I\) flows along a lengthy thin-walled tube of radius \(R\) with longitudinal slit of width \(h .\) Find the induction of the magnetic field inside the tube under the condition \(h \ll R\).

Reveal Answer
B≈μ0hI/4π2Rr, where r is the distance from the cut. B \approx \mu_{0} h I / 4 \pi^{2} R r, \text { where } r \text { is the distance from the cut. }
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