insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C.

  1. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? 
  2. What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)?
  3. What is the magnitude (in units of 106N/C) of the E-field at surface of the sphere? 
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