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# lecture7 - Gausss Law III Conductors in Equilibrium Text...

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Gauss’s Law III Gauss’s Law III Text section 24.4 • “Conductors in Equilibrium” Practice problems: chapter 24, problems 40, 41, 47, 49, 55, 57 Conductors (in Electrostatic Equilibrium) 1) in a conductor. 2) just outside a conductor. 3) Any charge on a conductor is on the surfac e only. 0 = E r surface E r

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1) If , charges would move! 0 E r 2) If , charges would move! 0 || E r + + + + - - - - - + - > > > > ( ) electron on F r - + + + + + - - - - - fields cancel! 3) inside, so any gaussian surface inside the conductor encloses no net charge. 0 = E r + + + + + + + + + + + + + + + + + + + + + + + + + + + + ± ± ± 0 = Φ Since E = 0 everywhere .
Exercise: Exercise: Sketch the field lines Sketch the field lines +Q neutral conductor Surface Charge Density on a Conductor Surface Charge Density on a Conductor area unit charge = σ + + + + + E = 0 inside dA 1 dA 2 E

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1 A d r 2 A d r GAUSSIAN SURFACE: • infinitesimal cylinder with the bottom inside the conductor and the top just outside. side curved || , E top E FLUX: • Through top, • Through bottom, • Through curved side, • Total, = Φ 1 d = Φ

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