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Question:

An infinitely long hollow conducting cylinder with inner radius R/2 and outer radius R carries a uniform current density along its length. The magnitude of the magnetic field, |B|, as a function of the radial distance r from the axis is best represented by

Solution:

inside the cavity B=0
between the shell B=μ₀I/2πr(b²(2)-a²(2))(r-a²/r)
at r=a, B=0
at r=b, B=μ₀I/2πb