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A spherical shell of inner radius \( a \) and outer radius \( b \) carries a uniform volume charge density. At a radius between the two, the field

  • A.depends on the charge in the shell out to that radius only
  • B.is zero
  • C.is the same as at the outer surface of the shell
  • D.depends on the whole charge of the shell whatever the radius

Answer: A

Gauss's law counts only what is enclosed, so at an intermediate radius the field is set by the charge lying between the inner surface and that radius. It is zero for radii below the inner surface and falls as the inverse square beyond the outer one.

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