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PRACTICE / Gauss law

Inside a uniformly charged shell

A thin spherical shell of radius 0.50 m carries a uniform positive surface charge.

Find the electric-field magnitude at a point 0.20 m from its centre.

Organize the givens & assumptions
  • r = 0.20 m
  • R = 0.50 m
  • uniform spherical shell

Uniformly charged thin spherical shell in electrostatics; no interior charge or external field.

  1. AkQ/(0.50 m)2kQ/(0.50\ \mathrm m)^2
  2. BkQ/[(0.20 m)(0.50 m)]kQ/[(0.20\ \mathrm m)(0.50\ \mathrm m)]
  3. C0 N/C0\ \mathrm{N/C}
  4. DkQ/(0.20 m)2kQ/(0.20\ \mathrm m)^2

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