long solid cylindrical conductor of radius a is placed along z axis. A magnetic field is induced when a current flows through the conductor. Suppose a current through it is characterized by a current density J = ˆz Jo /r where Jo is a constant and r is the radial distance from the z axis. I am trying to find the magnetic fields H and B for 0 < r < a and I want to find the magnetic fields H and B for r > a

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Hello, I am practicing an exercise of Ampere’s law.
A long solid cylindrical conductor of radius a is placed along z axis. A magnetic field is induced when a current flows through the conductor. Suppose a current through it is characterized by a current density J = ˆz Jo /r where Jo is a constant and r is the radial distance from the z axis.

I am trying to find the magnetic fields H and B for 0 < r < a and I want to find the magnetic fields H and B for r > a

Thank you for your time and help!

 

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