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3. A long cylindrical wire of radius R carrios a current I. The current density is non-uniform and can
be expressed as
J(r) = Jor? for 0 < r<R and O everywhere else.
Determine the magnetic field both inside and outside the wire. (It isn't zero outside the wire,
even though the current density is zerol)

Expert Solution

Step 1

Given,

The current density is

$J (r) = J_{0} r^{2} f o r 0 < r < R a n d 0 e v e r y w h e r e e l s e$

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