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F07_hw08

# F07_hw08 - Physics 505 Homework Assignment#8 Due Thursday...

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Physics 505 Fall 2007 Homework Assignment #8 — Due Thursday, November 8 Textbook problems: Ch. 5: 5.13, 5.14, 5.15, 5.16 5.13 A sphere of radius a carries a uniform surface-charge distribution σ . The sphere is rotated about a diameter with constant angular velocity ω . Find the vector potential and magnetic-flux density both inside and outside the sphere. 5.14 A long, hollow, right circular cylinder of inner (outer) radius a ( b ), and of relative permeability μ r , is placed in a region of initially uniform magnetic-flux density ~ B 0 at right angles to the field. Find the flux density at all points in space, and sketch the logarithm of the ratio of the magnitudes of ~ B on the cylinder axis to ~ B 0 as a function of log 10 μ r for a 2 /b 2 = 0 . 5, 0 . 1. Neglect end effects. 5.15 Consider two long, straight wires, parallel to the z axis, spaced a distance d apart and carrying currents I in opposite directions. Describe the magnetic field ~ H in terms of a magnetic scalar potential Φ M , with ~ H = - ~ Φ M .

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F07_hw08 - Physics 505 Homework Assignment#8 Due Thursday...

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