Answered: 3-a) A charge Q is uniformly…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3-a) A charge Q is uniformly distributed over the volume of a solid sphere (centered at the origin)
of radius R. A spherical cavity is cut out of this solid sphere, where the center of the cavity is at
ā = azˆ (with 0 < a < R) and the radius b of the cavity is such that a + b < R, and the charged
material taken out is discarded. Determine the electrostatic potential V at a point z > R on the
z-axis, assuming that V = 0 as |r| → ∞.
b) Determine the electrostatic energy U stored in this sphere when the cavity is centered at the
origin, i.e. when a = 0.
c) Assuming a = 0 as in part b), determine U when the radius of the cavity b → 0 and separately
when b → R^−. Compare these and comment on what you find.

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