.In a perfect conductor, the conductivity is infinite, so E=0 and any net charge resides on the surface.

a.Show that the magnetic field is constant (\partial B/\partial t=0), inside a perfect conductor.

b.Show that the magnetic flux through a perfectly conducting loop is constant.

(d) superconductivity is lost above a certain critical temperature (tc), which varies from one material to another. suppose you had a sphere (radius a) above its critical temperature, and you held it in a uniform magnetic field b0zwhile cool- ing it below tc. find the induced surface current density k, as a function of the polar angle ().