A long, straight conducting wire of radius R has a nonuniform current density J J 0 r R, where J 0 is a constant The wire carries total current I a Find an expression for J 0 in terms of I and R b Find an expression for the magnetic field strength inside the wire at radius r c At the boundary, r R,...

Model The magnetic field is that of a conducting wire that has a nonunifor ...

A long, straight conducting wire of radius R has a nonuniform current density J = J 0

Question:

A long, straight conducting wire of radius R has a nonuniform current density J = J₀r/R, where J₀ is a constant. The wire carries total current I.
a. Find an expression for J₀ in terms of I and R.
b. Find an 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?

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