hmwk5q1 - 2 An in±nitely long hollow iron cylinder of...

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Homework set 5 1. Some superconductors are characterized by the statement that B = 0 within the superconductor. Let such a material occupy the region of space z < 0. A thin, long, straight wire carrying current I is oriented parallel to this surface, at a distance a from the surface, i.e. it occupies the line z = a , y = 0. B = 0 z y z=a I = I x superconductor Find B everywhere. Hint: An image method is appropriate for this problem Find the force per unit length on the wire. (This calculation shows how a magnet can be suspended above a superconductor, or conversely, by magnetic forces. Find the surface current density on the superconductor.
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Unformatted text preview: 2 An in±nitely long hollow iron cylinder of permeability μ , and cross section de±ned by concentric circles of radii a , b ( a < b ) is placed in a uniform magnetic ±eld directed perpendicular to the axis of the cylinder. Show that the ²ux of magnetic induction B through the cylinder is changed by inserting the cylinder in the ±eld, by the ratio b 2 ( μ + 1) 2-a 2 ( μ-1) 2 2 μ ( b 2 ( μ + 1)-a 2 ( μ-1)) a b H μ 1 3. Jackson problem 5.3. 4. Jackson problem 5.7. 2...
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This note was uploaded on 01/08/2012 for the course PHYSICS 707 taught by Professor Electrodynamics during the Fall '11 term at LSU.

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hmwk5q1 - 2 An in±nitely long hollow iron cylinder of...

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