Magnetic Field Inside an Electric Conductor

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Homework Statement


The problem is simple: there is a coaxial cable where the current flows in one direction in the inside conductor and in the opposite direction in the outside conductor. I'm asked to find the magnetic field on a point situated in the space between the two (that space is filled with an electric insulator) and the magnetic field on a point situated in the middle of the outer conductor.


Homework Equations


Ampere's Law


The Attempt at a Solution


For the first, it's simple. I found the magnetic field created by each conductor using Biot-Savart's law and added them. For the second, I'm intrigued. Inside a conductor the electric field is zero, it acts as a Faraday's cage. What about the magnetic field?
 

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