• Electrons can freely move, i.e. \(\vec{F}=-e\vec{E}=0\)
  • Hence, no electric fields in conductors, thus they form an equipotential.
  • Additionally, the charge density inside a solid conductor must be zero.
  • Charge accumulates on the surface of the conductor.
  • Right above the surface, the electric field must be perpendicular to the surface, i.e. parallel to the surface normal.
  • \(\vec{E}=\frac{\sigma}{\varepsilon_0}\hat{n}\) just above the field. Thus, we can get the charge density from the electric field just above the surface

Author: Christian Cunningham

Created: 2024-05-30 Thu 21:18