Consider the case of a non-homogeneous solid cylinder of radius R carrying a current ' I ' such that the current density depends on the radial…

Consider the case of a non-homogeneous solid cylinder of radius R carrying a current ' $\displaystyle I$ ' such that the current density depends on the radial distance ' $\displaystyle r$ ' from the axis of the cylinder as $\displaystyle \mathrm{J}=\sigma r$, ( $\displaystyle \sigma$ is constant). The magnetic field at a point 'P' at a perpendicular distance $\displaystyle r(<\mathrm{R})$ from the axis of the cylinder is -