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07 - Gauss Law II

07 - Gauss Law II - Physics 212 Fall 2009 Gauss Law II...

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Physics 212 - Fall 2009 9/04/2009 Gauss’ Law II

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Review - Gauss’ Law Relates the Electric flux through a closed surface to the charge enclosed by that surface. Φ E = q enc ε 0 Δ A E Δ A E Δ A Δ A E Δ A E E Δ A Δ A Δ A Φ E = E d A = E cos( θ ) dA
Flux When a particle with a charge Q is surrounded by a spherical Gaussian surface, the electric flux through the surface is Φ S . Consider what would happen if the particle was surrounded by a cylindrical Gaussian surface or a Gaussian cube. How would the fluxes through the cylindrical Φ Cyl and cubic Φ Cubic surfaces compare to Φ S ? a ) Φ S = Φ Cubic > Φ Cyl b ) Φ S > Φ Cyl > Φ Cubic c ) Φ S = Φ Cyl = Φ Cubic d ) Φ S < Φ Cubic < Φ Cyl e ) Φ S > Φ Cubic > Φ Cyl

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Charge in a Conductor The conducting material shields any charges within it from electric fields created outside the conductor. In electrostatic equilibrium , the electric field just outside the surface of a conductor is perpendicular to the surface. If not perpendicular, the charges would feel a force along the surface and be moving. Since they are not moving, the field must be perpendicular.
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07 - Gauss Law II - Physics 212 Fall 2009 Gauss Law II...

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