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physics_6c_f08_exam_1_solutions

physics_6c_f08_exam_1_solutions - 1<42 grim M...

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Unformatted text preview: 1. {<42 grim M males (lopfiW Three point charges are fixed to corners of a rectangle as shown below. Find the electrostatic field (magnitude and direction) at point A (the corner of the rectangle) caused by the three charges. E in"? {fivfimwgwgil {law-«M “x Waki‘l’fitsiyem wlé y’allmfiflxéafia? $333555 \._,. “w " * V gk m e 13“ r x « r c ‘2' la” " l i, l 2;" " "vfb wt? {m 2. A solid sphere 2.00 min radius carries a uniform positive volume charge density. Suppose the field has a magnitude of 40.0 kN/C at a distance of 10.0 m from the center of the sphere. a) What is the net charge on the sphere? The volume charge density? b) What is the magnitude of the field at the center of the sphere? At 0.500 m from the center? At the surface of the sphere? c) Sketch the field strength as a function of distance from the center for the region 0.00 m to 6.00 m. Properly label the graph axes with units and values. L a a??? L ,2 6K) we; : m“ [Q‘ggybfggoyg‘fig i “ “ " m ~~~~ g. $\ at w:wi f) . fiat» f m "3 maid: Wfi “M a a ii 4 r '39 1 g a j a {6595' fwrg \, )fflg ff a. m % h p W” if i a; a g l L “’ we} w t ’ 3. Consider an electric dipole located in a region with a uniform electric field of magnitude E pointing in the positive y direction. The positive and negative ends of the dipole have charges +q and —q, respectively, and the two charges are a distance D apart. The dipole has moment of inertia I about its center of mass. The dipole is at an angle 6 from the y—axis.. a) What is the magnitude and direction of the net force on the dipole? b) What is the magnitude of the net torque on the dipole? Does it tend to rotate the dipole clockwise or counterclockwise? d) What are the rotational equilibrium positions of the dipole as a function of angle 6? For each equilibrium position, is it a stable or unstable equilibrium? ...
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