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hw3_p5405_f06 - ρ r = rα α is a constant A concentric...

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HW 3 Phys5405 f06 due Sept. 14 1) JDJ chapter 1 problem 6 2) JDJ chapter 1 problem 10 3) An infinitely long right circular cylinder has its axis along the z axis. The cylinder has radius R and throughout its volume has uniform charge density ρ 0 . A hole of radius R’ is drilled through the cylinder parallel to its axis. The center of the hole is at x=c, where c+R’ < R and c-R’ > 0. Show that E inside the hole is constant and find its magnitude and direction? 4) In a spherical region of space of radius a, there is a volume charge density that depends only on r the radial distance from the center of the spherical region,
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Unformatted text preview: ρ ( r ) = rα , α is a constant. A concentric spherical conducting shell of inner(outer) radii b(c) with b > a carries net charge Q. Calculate E ( r ), for a)r > c, b)a < r < b, and c)r < a. Calculate Φ( a/ 2)-Φ( c ), and the charge per unit area on the inner and outer surfaces of the conductor. If the shell surrounded the spherical region but was not concentric with it, what answers to the above questions would be unchanged (use the center of the shell as the origin)? 1...
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