Induction in electrostatic equilibrium conductor

[A13235378]

Homework Statement

Consider a conductor in electrostatic equilibrium, approach if charged objects so that one region of that conductor has an excess of positive charges and another region with an excess of negative charges.

Relevant Equations

Equipotential regions

We know that both the interior and the surface of an electrostatically balanced conductor are equipotential. My question is if when we approach the loaded objects, the surface of the conductor will continue to be an equipotential. If not, then there could be a field line that left the region with an excess of positive charges going to the region with an excess of negative charges?

 

[BvU]

Correct. The electric field lines are perpendicular to the surface. If they were not, charge would move until they are perpendicular.

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