Electrostatics Derivations

This is a small prototype of a derivation database.

• Axiom: Coulomb's Law
• Axiom: Superposition
• Axiom: Force Addition
• Theorem: Electric Field Integral
• Theorem: Gauss' Law
• Earnshaw's Theorem
• Discontinuity across a surface
• Potential on a charged sphere
• Average Electric field: Jackson (4.19)
• Field is zero in a conductor
• Charge resides on the surface of a conductor