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Unformatted text preview: Practice Final Exam Physics 1B Name: ID number: Lecture (1 or 2): Section (A-F): 1. An electron is located in the center of a non-conducting sphere with a uniform charge density . What is the period of oscillations of the electron about the center of this sphere? Solution The electric field as a function of distance r from the center can be computed using the Gauss Law: 4 r 2 E ( r ) = 4 k 4 3 r 3 E ( r ) = 4 3 k r The returning force acting on the electron is F =- eE ( r ) =- 4 e 3 k r, where e = 1 . 6 10- 19 C. The oscillations with this returning force have a period T = 2 s m e 4 e 3 k = 2 s 3 m e 4 ke , where m e is the mass of the electron....
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This note was uploaded on 04/02/2008 for the course PHYS 1B taught by Professor Kusenko during the Spring '07 term at UCLA.
- Spring '07