Electric Dipole Moment - Electromagnetism and Optics - Exam, Exams of Electromagnetism and Electromagnetic Fields Theory

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Physics 110A (Spring 04) Final Examination (Tuesday, May 18) 5 problems with total of 80 points. Write clearly. Erase what you do not want to be graded. Seems Co not want to be graded. Problem 1 (15 points) An electric dipole moment P = pz is placed at the center of the hollow conductor sphere of inner and outer radii a and b. The sphere has total net charge Q. Fig.1. (a) Compute the total electrostatic energy that is stored in the region outside the sphere (r > 6b). (5 pts) (b) Suppose that a point charge q is placed at distance d from the outer surface of the hollow sphere. Fig.1b. Compute the electric force that acts on the point charge. (5 pts) (c) Compute the surface charge density at the top of the inner surface (point A in Fig.1). (5 pts) {The dipole moment is important in some cases but irrelevant in others. If an electric dipole moment is placed in a completely empty space, it would create the potential V(r) = a conductor Fig.1 Fig.1b