Question

Q5. FORCE DUE TO INDUCED POLARIZATION A) Consider a very long (effectively infinite) half-cylinder of radius r and uniform surface charge density o. What is the magnitude and direction of the electric field at the center of the cylinder? B) Consider now a thin, long straight wire with uniform positive charge per length 2 at the center of a half-cylinder of inner radius a and outer radius b. The half-cylinder is made of a linear dielectric with susceptibility Xe. You may assume Xe <<1, that is, this is a weakly polarizable linear dielectric. Compute the bound surface charge densities, Oq and Ob, on the inner and outer surfaces and the bound charge density pin the interior of the dielectric. b a C) Is there a net force per length on the wire due to the presence of the dielectric? If so, compute the force (magnitude and direction). If not, prove that the force is zero. + to compute D everywhere? If you can, D) In this situation, can you use | Dºda = Q free, enclosed do it. If you cannot, explain why not.