All Problems

Constant Magnetic Field, Magnetics

Problem 3.278

A round current-carrying loop lies in the plane boundary between magnetic and vacuum. The permeability of the magnetic is equal to \(\mu\). Find the magnetic induction \(\mathbf{B}\) at an arbitrary point on the axis of the loop if in the absence of the magnetic the magnetic induction at the same point becomes equal to \(\mathrm{B}_{0}\). Generalize the obtained result to all points of the field.

Reveal Answer
B=2B0μ/(1+μ)\mathbf{B}=2 \mathbf{B}_{0} \mu /(1+\mu)