Unformatted text preview: . 2 × 10-11 F/m if the separation of the wires was 0.5 cm? 1.5 cm? 5.0 cm? 1.11 Use Gauss’s theorem to prove that at the surface of a curved charged conductor, the normal derivativce of the electric ﬁeld is given by 1 E ∂E ∂n =-³ 1 R 1 + 1 R 2 ´ where R 1 and R 2 are the principal radii of curvature of the surface. 1.12 Prove Green’s reciprocation theorem : If Φ is the potential due to a volume-charge density ρ within a volume V and a surface-charge density σ on the conducting surface S bounding the volume V , while Φ is the potential due to another charge distribution ρ and σ , then Z V ρ Φ d 3 x + Z S σ Φ da = Z V ρ Φ d 3 x + Z S σ Φ da...
View Full Document
- Spring '10
- Atom, Electric charge, Fundamental physics concepts, Bohr radius