18.3.1—That, for a point outside a spherical conductor, the charge on the sphere
- Syllabus
- 9702–2028–2029
- Objective
- 18.3.1
- Level
- A2
For a spherical conductor in electrostatic equilibrium, excess charge resides on the surface and the external field acts as if total charge Q were at the centre.
Use centre distance r and remember the field inside the conductor is zero in electrostatic equilibrium.
A charged metal sphere produces an external field decreasing as 1/r², even though the charge is spread over its surface.
The point-charge equivalence does not describe the field inside the conductor or an irregular charged object without symmetry.