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This coaxial cable consists of a solid inner conductor of radius ?1 and a very thin...

This coaxial cable consists of a solid inner conductor of radius ?1 and a very thin outer conductor of radius ?2. The two cables carry equal currents ?, but in the opposite direction. The current density is uniformly distributed within each conductor.

a) Find expressions for the magnetic field (B-field) in three regions:

i) within the inner conductor

ii) in the space between the conductors

iii) outside the outer conductor.

b) Draw a graph of B vrsus the cylindrical radius ? from ? = 0 ?? ? = 2?2 if ?1 = ?2/3.

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