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 = K- is spread over the cross section a of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = uka³ having into-the-page direction. a) Find the total current of the inner wire in in terms of i. Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a c)

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 = K- is spread over the cross section
a
of the inner wire where the current has out-of-page direction. Outer wire
carries uniformly distributed current i = uka³ having into-the-page
direction.
a) Find the total current of the inner wire in in terms of i.
Find expressions for the magnitude of magnetic field,
b) inside the inner wire (r < a)
c) between the wires (a <r < b)
d) inside the outer wire (b <r < c)
e) outside the outer wire (r > c)
Transcribed Image Text: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 = K- is spread over the cross section a of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = uka³ having into-the-page direction. a) Find the total current of the inner wire in in terms of i. Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a <r < b) d) inside the outer wire (b <r < c) e) outside the outer wire (r > c)
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