317 (F96) Exam #3 - Part I

# 317 (F96) Exam #3 - Part I - o that a conducting sphere of...

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Physics 317 (Fall 1996) Third Exam - Part I (October 31, 1996) Name 1. (GRE problem) [20 points total] A point charge -q coulombs is placed at a distance d from a large grounded conducting plane. The surface charge density on the plane a distance D from the point charge is A. B. C. D. E. Use cleverness to choose the correct response in roughly 1.7 minutes, and then use the method of images to find σ everywhere on the plane. Show that your result reduces to the answer you chose above for points on the plane that are a distance D from the charge.

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2. [20 points] Find the potential V
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Unformatted text preview: o that a conducting sphere of radius R must be raised to such that a point charge Q located at s > R experiences no net electrical force. [Note: Recall that the image charge needed to cause V = 0 on a sphere of radius R has charge Q’ = -RQ/s and is located a distance a = R 2 /s from the center of the sphere.] 3. (GRE problem) [10 points] A cube has a constant electric potential V on its surface. If there are no charges inside the cube, the potential at the center of the cube is A. zero B. V/8 C. V/6 D. V/2 E. V Justify your choice....
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317 (F96) Exam #3 - Part I - o that a conducting sphere of...

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