6. A portion of a long, cylindrical coaxial cable is shown in the figure. The inner conductor and the outer conductor are separated by an insulating medium. A current / flow down the inner conductor or radius r₁, and this current is returned in the outer conductor that is extending from radius 12 to 13. The current is uniformly distributed across the cross section of each conductor. a) Applying a relevant criterion (specify), derive expressions for the magnitude of the magnetic flied in each region: B₁ for r r3 where r is the radial distance from the axis of the coaxial cable. as a function of the radial b) Produce a graph showing the magnetic field (y-axis) distance r (x-axis). Mark B₁, B2, B3 and B4 appropriately on the graph.

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6. A portion of a long, cylindrical coaxial cable is shown in the figure. The inner
conductor and the outer conductor are separated by an insulating medium. A current /
flow down the inner conductor or radius r₁, and this current is returned in the outer
conductor that is extending from radius 12 to 13. The current is uniformly distributed
across the cross section of each conductor.
13
a) Applying a relevant criterion (specify), derive expressions for the magnitude of the
magnetic flied in each region: B₁ for r <r₁, B2₂ for r<r<r2, and B3 for r₂<r<r3, and
B4 for r>r3 where r is the radial distance from the axis of the coaxial cable.
b) Produce a graph showing the magnetic field (y-axis) as a function of the radial
distance r (x-axis). Mark B₁, B2, B3 and B4 appropriately on the graph.
Transcribed Image Text:6. A portion of a long, cylindrical coaxial cable is shown in the figure. The inner conductor and the outer conductor are separated by an insulating medium. A current / flow down the inner conductor or radius r₁, and this current is returned in the outer conductor that is extending from radius 12 to 13. The current is uniformly distributed across the cross section of each conductor. 13 a) Applying a relevant criterion (specify), derive expressions for the magnitude of the magnetic flied in each region: B₁ for r <r₁, B2₂ for r<r<r2, and B3 for r₂<r<r3, and B4 for r>r3 where r is the radial distance from the axis of the coaxial cable. b) Produce a graph showing the magnetic field (y-axis) as a function of the radial distance r (x-axis). Mark B₁, B2, B3 and B4 appropriately on the graph.
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