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Which quantity is NOT needed to compute the field of a spherically symmetric charge distribution at a given radius?

  • A.the way the charge is distributed within that radius
  • B.the total charge within that radius
  • C.the radius at which the field is wanted
  • D.the permittivity of the medium

Answer: A

Correct answer: the way the charge is distributed within that radius

For a spherically symmetric distribution only the total charge within the radius matters, however it is arranged - concentrated at the centre, spread uniformly, or in shells. This is Newton’s shell result in electrostatic form, and it is what makes a solid sphere and a point charge indistinguishable from outside.

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