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Use Ampere’s Law to determine the magnetic field as a function of r (distance from the...

Use Ampere’s Law to determine the magnetic field as a function of r (distance from the symmetry axis) both inside and outside an infinitely long cylinder of radius R, carrying a current Iothat is(show all relevant steps and any symmetry arguments in part a, then you don’t have to repeat them in part b):

a) uniformly distributed over the surface of the cylinder (i.e., at r = R)

b) uniformly distributed throughout the cylinder

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