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, as a function of the radial distance r from the axis is best represented by

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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, $| \vec{B} |$ as a function of the radial distance r from the axis is best represented by

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$B \times 2 π x = μ_{0} J (π (x^{2} - \frac{R^{2}}{4}))$

$B = \frac{μ_{0} J}{2 π} (x - \frac{R^{2}}{4 x})$

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