Floating electrons

An electron floats at rest above a sheet of charge with uniform charge density \(\sigma\). What is \(\sigma\) in \(\mbox{C/m}^2\)?

Details and assumptions

  • The mass of the electron is \(9.1 \times 10^{-31}~\mbox{kg}\).
  • The electric charge on the electron is \(-1.6 \times 10^{-19}~\mbox{C}\).
  • The acceleration due to gravity is \(-9.8~\mbox{m/s}^2\).
  • The vacuum permittivity is \(\epsilon_0=8.85 \times 10^{-12}~\mbox{F/m}\).

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