Avery long cylindrical dielectric rod of radius r spins slowly about its axis. a uniform magnetic field bo is applied along this axis. the dielectric has an electric susceptibilityx (a) find the displacement field d(r). (b) using d 6,e p. express e in terms of p (c) find the electromotive field (let's call this force per unit charge fo(r)) acting on charges in the dielectric resulting form the lorentz force (d) the electromotive field you found induces a polarization in the dielectric. find the polar- ization. note: this is not simply p(r) є0ke(r) (griffiths 4.30) because in addition to feel the push/pull from electric fields (from free charges [if any] and polarization) there is the electromotive field acting on the dielectric. (e) find the bound volume and surface charges corresponding to the polarization p(r) (f) the rotating polarization charge distribution sets up a current distribution which in turn sets up a magnetic field that will act on moving charges. argue that we are justified in neglecting this (possible) contribution