A long coaxial cable, crossection of which is shown in the figure, is made up of a cylindrical inner wire of radius a and a cylindrical shell shaped coaxial outer wire of inner radius b and outer radius c. The current density with magnitude J = Kr2/a is spread over the cross section of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = πKa 3 having into-the-page direction. a) Find the total current of the inner wire iin in terms of ?.Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a< r< b)

A long coaxial cable, crossection of which is shown in the figure, is made up of a cylindrical inner wire of radius a and a cylindrical shell shaped coaxial outer wire of inner radius b and outer radius c. The current density with magnitude J = Kr2/a is spread over the cross section of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = πKa 3 having into-the-page direction. a) Find the total current of the inner wire iin in terms of ?.Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a< r< b)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 68PQ

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