All Problems

Constant Magnetic Field, Magnetics

Problem 3.224

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

Reveal Answer
Bμ0hI/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. }