A long, straight conducting wire of radius R has a non uniform current density J =J0r/R, where J0 is fix. The wire carries whole current I.
(a) Derive an expression for J0 in terms of I and R.
(b) Estimate the expression for the magnetic field strength inside the wire at radius r.
(c) At the boundary, r = R, does your solution match the known field outside a long, straight current carrying wire?
Yes or No