a perfect conductor, E = 0 everywhere inside, and all the charge resides on the surface even when charge carriers are flowing

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For a perfect conductor, E = 0 everywhere inside, and all the
charge resides on the surface even when charge carriers are
flowing. (a) Use Maxwell’s equations to show that the magnetic
field inside a conductor is constant. (b) Use Maxwell’s equations
to show that the magnetic flux through a perfect conducting
loop is constant. (c) A superconductor is more than just a
perfect conductor. It also has the property that B = 0 inside
the superconductor. Use Maxwell’s equations to show why the
current in a superconductor is confined to the surface.

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