A solid conducting wire of radius R runs parallel to the z axis and carries a current density given by J(vector) J 0 (1 r R)k, where J 0 is a constant and r is the distance from the wire axis Find expressions for (a) the total current in the wire (b) the magnetic field for r R and (c) r R

Question: A solid conducting wire of radius R runs parallel to the z-axis and carries a current density given by J(vector) = J 0 (1 -

A solid conducting wire of radius R runs parallel to the z-axis and carries a current density given by J(vector) = J₀(1 - r/R)k̂, where J₀ is a constant and r is the distance from the wire axis. Find expressions for
(a) the total current in the wire
(b) the magnetic field for r > R and (c) r < R.

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