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Consider a model of the nucleus in which the positive charge (Ze) is uniformly distributed throughout a sphere of radius R. By integrating the energy density 1/2∈0E2 over all space, show that the electric potential energy may be written                                U = (3Z2e2)/(20π∈0R) = (3keZ2e2)/(5R)

Consider a model of the nucleus in which the positive charge (Ze) is uniformly distributed throughout a sphere of radius R. By integrating the energy density 1/2∈0E2 over all space, show that the electric potential energy may be written                                U = (3Z2e2)/(20π∈0R) = (3keZ2e2)/(5R)

Modern Physics
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter14: Nuclear Physics Applications
Section: Chapter Questions
Problem 41P
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Consider a model of the nucleus in which the positive charge (Ze) is uniformly distributed throughout a sphere of radius R. By integrating the energy density 1/2∈0E2 over all space, show that the electric potential energy may be written
                                U = (3Z2e2)/(20π∈0R) = (3keZ2e2)/(5R)

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