In: Physics
A short section of coaxial cable consists of a line current along the z-axis from z = -L to z = L carrying current ?0?̂ surrounded by a hollow cylindrical shell (centered on the z-axis, top at z = L , bottom at z = -L) carrying a surface current ?⃗⃗ = ?0 (−?̂). Radius R
a. Find an expression for the magnetic field at an arbitrary point (x, y, z)
b. Draw a qualitative graph of the magnetic field as a function of position on the x-axis.
We need to solve it by using Amere's circuital law to find the magnetic field due to the given system of current at any distance (x,y,z)
We can classify the region in 3 parts as shown in Figure-