13. A ball (spherical shape) of radius 7 cm carries a charge q = 4 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere does the electric field reach a value equal to half its maximum value?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Continuous Charge Distributions And Gauss's Law
Section: Chapter Questions
Problem 33P: A solid sphere of radius 40.0 cm has a total positive charge of 26.0 C uniformly distributed...
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13. A ball (spherical shape) of radius 7 cm carries a charge q = 4 mC distributed uniformly throughout its
volume. At what distance, measured from the center of the sphere does the electric field reach a value
equal to half its maximum value?
Transcribed Image Text:13. A ball (spherical shape) of radius 7 cm carries a charge q = 4 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere does the electric field reach a value equal to half its maximum value?
Expert Solution
Step 1

Given:

  • The radius of spherical shape ball is R=7 cm,
  • The charge is q=4 mC,
  • Let at x distance from the center of the sphere, the electric field is half of its maximum value E'=Emax/2
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