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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 ( ∂B/∂t=0 ), inside a perfect conductor.

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

A superconductor is a perfect conductor with the additional property that the (constant) B inside is in fact zero. (This is known as the Meissner effect.)

c. Show that the current in a superconductor is confined to the surface.

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