Does the magnetic field exist inside a current-carrying conductor

Does the magnetic field exist inside a current-carrying conductor 1

The magnetic field inside a conductor with uniform current density \(J=\frac{I}{\pi R^{2} }\) can be found with Ampere’s Law.

Inside the conductor, the magnetic field B increases linearly with r. Outside the conductor, the magnetic field becomes that of a straight conductor and decreases with radius. Note that the expressions for inside and outside would approach the same value at the surface if the magnetic permeability were the same.

Does the magnetic field exist inside a current-carrying conductor 2

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