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HW-8 - HW-8 1 Find the magnetic field at point P for each...

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HW-8 1. Find the magnetic field at point P for each of the following steady current configurations. 2. Find the force on a square loop and a triangle near in infinite straight wire. 3. A thick slab extending from z=-a to z=+a carries a uniform volume current density x J J . Find the magnetic field, as a function z, both inside and outside the slab. 4. What current density would produce the vector potential, e k A (where k is a constant), in cylindrical coordinates?
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5. If B is uniform, show that ) ( 2 1 B r A works. That is, check that 0 A and B A . 6. A thin uniform donut, carrying charge Q and mass M, rotates about its axis as shown below. (a) Find the ratio of its magnetic moment to its angular momentum, This is called gyromagnetic ratio. (b) What’s the gyromagnetic ratio for a uniform spinning sphere? [This requires no new calculation; simply decompose the sphere into infinitesimal rings, and apply the result of
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