Using Gauss’s Law and the relation between electric potential and electric field, show that the potential outside a uniformly charged sphere is identical to the potential of a point charge placed at the center of the sphere and equal to the total charge of the sphere. (a) What is the potential at the surface of the sphere? (b) How does the potential change if the charge distribution is not uniform but

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter25: Electric Potential
Section: Chapter Questions
Problem 25.41P: The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and...
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Using Gauss’s Law and the relation between electric potential and electric field, show that the
potential outside a uniformly charged sphere is identical to the potential of a point charge placed at
the center of the sphere and equal to the total charge of the sphere. (a) What is the potential at the
surface of the sphere? (b) How does the potential change if the charge distribution is not uniform but
has spherical (radial) symmetry? 

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