A long cylinder of radius a and permeability u is placed in a uniform magnetic field Bo such that the cylinder axis is at right angles to Bo. (a) calculate the magnetic induction inside the cylinder. (b) Make a semi-quantitative sketch showing typical lines of induction through the cylinder. (assume from the beginning that p* can be completely specified in terms of the cos 0 cylindrical harmonics. This assumption is justified, since all boundary conditions can be satisfied in terms of the cos 0 harmonics.