All Problems

Constant Magnetic Field, Magnetics

Problem 3.275

A direct current II flows in a long round uniform cylindrical wire made of paramagnetic with susceptibility χ.\chi . Find: (a) the surface molecular current IsI_{s}^{\prime}; (b) the volume molecular current IvI_{v}^{\prime}. How are these currents directed toward each other?

Reveal Answer
(a) Isur=χII_{s u r}^{\prime}=\chi I (b) Ivol =χII_{\text {vol }}^{\prime}=\chi I; in opposite directions.