The current density inside a long solid cylindrical wire of


The current density inside a long solid cylindrical wire of radius a is in the direction of central axis and varies linearly with the distance from that axis r according to J=J0 r/a. Find the magnetic field inside the wire, both in the form of B(r) and also numerically at r=0.5 cm, assuming J0=1A/m2 and a is 1 cm. Hint: solving this problem seems to require integration.

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Electrical Engineering: The current density inside a long solid cylindrical wire of
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