A coaxial cable consists of a long cylindrical wire (black) of radius a carrying current I in the +z direction, surrounded by a hollow cylindrical conductor (red) of inner radius b and outer radius c, where c> b> a. The outer conductor carries current I in the -z direction, that is, the same current as the inner conductor but in the opposite direction. In both conductors, the current is distributed uniformly over the cross-sectional area. Use Ampere's law to find the magnetic field at all points in this current configuration. Each path you draw should be a circle of constant radius. (a) Find the magnetic field inside the inner conductor, i.e. at a distance r from the cable center where r c.
A coaxial cable consists of a long cylindrical wire (black) of radius a carrying current I in the +z direction, surrounded by a hollow cylindrical conductor (red) of inner radius b and outer radius c, where c> b> a. The outer conductor carries current I in the -z direction, that is, the same current as the inner conductor but in the opposite direction. In both conductors, the current is distributed uniformly over the cross-sectional area. Use Ampere's law to find the magnetic field at all points in this current configuration. Each path you draw should be a circle of constant radius. (a) Find the magnetic field inside the inner conductor, i.e. at a distance r from the cable center where r c.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.12MCQ
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