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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 ) ( 2 1 B r A and ) ( 2 1 B r 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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HW-8 - HW-8 1 Find the magnetic field at point P for each...

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