# SVC PH 252 - PH 252 EXAM III (3 pages)

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## PH 252 EXAM III

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## PH 252 EXAM III

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Pages:
3
School:
Saint Vincent College
Course:
Ph 252 - ELECTROMAGNETIC FIELDS

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St Vincent College PH 252 Electromagnetic Fields Exam 3 10 8 2010 1 35 pts Perform the process of separation of variables to obtain two independent differential equations for the case of Laplace s Equation in cylindrical coordinates when the solution is independent of z Laplace s Equation is 1 2 1 r 2 2 0 r r r r You only need to obtain the two differential equations You need not try to solve them 2 30 pts Show that B1 sin r does in fact satisfy Laplace s Equation in cylindrical coordinates in the case of z independence r A0 B0 ln r A1 r cos 3 35 pts Two spherical conducting shells of radii a and b are arranged concentrically and are charged to constant potentials a and b respectively If b a determine the potential at all points between the two shells in terms of the shell radii and the specified potentials Hint Are there any additional symmetry considerations that may simplify your quest to determine the undetermined coefficients

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