A cylindrical conductor of radius \( \mathrm{R} \) carries a current along its length. The curre...

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A cylindrical conductor of radius \( \mathrm{R} \) carries a current along its length. The current density \( \mathrm{J} \), however, it is not uniform over the cross section of the conductor but is a function of the radius according to \( \mathrm{J}=\mathrm{br} \), where \( b \) is a constant. Find an expression for the magnetic field \( \mathrm{B} \).
(a) at \( r_{1}\mathrm{R} \quad \) \&
(b) at distance \( r_{2}R \), mesured from the axis
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