a 3. A system of two thin, infinitely long, coaxial, conducting hollow cylinders with radii a and b (with a < b) carries

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A 3 A System Of Two Thin Infinitely Long Coaxial Conducting Hollow Cylinders With Radii A And B With A B Carries 1 (34.17 KiB) Viewed 30 times

a 3. A system of two thin, infinitely long, coaxial, conducting hollow cylinders with radii a and b (with a < b) carries a steady current / upward (relative to the z-axis) on the inner cylinder and a steady current of -/ downward (relative to the z-axis) on the outer cylinder. (The z-axis is the symmetry axis of both cylinders.) The space between the two cylinders is filled with a linear magnetic material of magnetic susceptibility Xm. All other regions contain a vacuum. Find the auxiliary field H, the magnetic field B, and the volume bound current density Jb, for points (a) inside the innermost cylinder (r <a), [5 points] [10 points] (b) between the cylinders (a <r < b), and (c) outside both cylinders (r> b), where r is the perpendicular distance from the z-axis. [5 points] 42