The Calculation of the Electrostatic Field Given a Time-independent Source Distribution.
- 2.4: The Tangential Components of E
- It follows from the first Maxwell equation, that the tangential components of the electric field vector must be continuous across any surface.
- 2.5: A Conducting Body
- The electrostatic field must be zero inside a conducting body. A non-zero field would act on mobile charges in the body and so produce currents that would cause the charge distribution to change with time. Since the electrostatic field is zero everywhere inside a conducting body, it follows from that the electric field just outside a conducting body can have no components parallel with the surface.
Thumbnail: Field of a positive point charge influenced by a neutral conducting metal sphere. (CC BY-SA 3.0; Geek3 via Wikipedia)