A current I flows down the central conductor of a long, cylindrical coaxial cable. This current is returned going in the other direction through the outer conductor. Let r1, ľ2, and r3 be the relevant radii of the coaxial cable as shown above, and assume a homogeneous current density in both layers of the coaxial cable. Use Ampere's Circuital Law to solve for the magnetic field that exists within the wire as a function of r.
A current I flows down the central conductor of a long, cylindrical coaxial cable. This current is returned going in the other direction through the outer conductor. Let r1, ľ2, and r3 be the relevant radii of the coaxial cable as shown above, and assume a homogeneous current density in both layers of the coaxial cable. Use Ampere's Circuital Law to solve for the magnetic field that exists within the wire as a function of r.
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HINT: For both halves of this problem, make sure to consider the stronger magnetic field closer to the wire.
Transcribed Image Text:A current I flows down the
central conductor of a long,
cylindrical coaxial cable. This
current is returned going in the
other direction through the outer
conductor. Let rị, r2, and r3 be
the relevant radii of the coaxial
cable as shown above, and
assume a homogeneous current
density in both layers of the
coaxial cable. Use Ampere's
Circuital Law to solve for the
magnetic field that exists within
the wire as a function of r.
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