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A very long coaxial cable consists of a solid cylindrical inner conductor of rad

ID: 2004885 • Letter: A

Question

A very long coaxial cable consists of a solid cylindrical inner conductor of radius {R1} surrounded by an outer cylindrical conductor with inner radius {R2} and outer radius {R3}. The region between the two conductors is filled with a waxlike insulating material to keep the conductors from touching each other.
Part A -
If the inner and outer conductors carry equal currents I in opposite directions, use Ampère's law to derive an expression for the magnetic field as a function of r (the distance from the central axis) at points between the two conductors ({R1}<r<{R2}).
B = ???
Part B -
If the inner and outer conductors carry equal currents I in opposite directions, use Ampère's law to derive an expression for the magnetic field as a function of r (the distance from the central axis) at points outside the cable (r>{R3}).
B=???

Explanation / Answer

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