The space between two cylinders of infinite length of radius a and b (?>b) , is filled with non
magnetic material of magnetic permeability ?0. The empty cylinder of radius b is placed eccentrics inside the cylinder of radius a while the parallel axes of the two cylinders are at distance c apart (see figure). If from the material passes current I , parallel to their axes of cylinders and uniformly distributed over the entire cross-section, show that the magnetic induction inside the small (i.e. the hollow) cylinder is given by : ???? = ????0 c I / (2? (a2 - b2 ) ) and with a direction perpendicular to the axes of the cylinders.