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)
d) inside the outer wire (b< r < c)
e) outside the outer wire (r> c) in terms of i, π, μ and r. For each case indicate the direction of the magnetic field as well.
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