Unformatted text preview: . 2 × 1011 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 volumecharge density ρ within a volume V and a surfacecharge 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...
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 Spring '10
 Ramos
 Atom, Electric charge, Fundamental physics concepts, Bohr radius

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