Elec Field II - PHY 2049C General Physics B Fields Circuits Waves Light Today 1 Gauss Law Question 1 Imagine a sphere in a region of uniform

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PHY 2049C – General Physics B Fields, Circuits, Waves, Light Today: 1) Gauss' Law
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Question 1 Imagine a sphere in a region of uniform electric field. The net electric flux through the sphere is (A) zero (B) positive (C) negative (D) undetermined
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Gauss' Law A closed surface around charges is crossed by as many field lines as the net charge inside it. Left : 0 (count field lines leaving +, entering -) Right: +8
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Gauss' Law The net flux through any closed surface equals 4 π k times the net charge inside the surface. with This is the first of Maxwell's 4 equations. It holds for any shape or form of closed surface and any distribution of charges inside. It works wonders in “symmetric” situations. 0 4 inside net N inside S Q EdA kQ π ε Φ= = = ∫∫ 12 2 2 0 1 8.85 10 / 4 CN m k == ×
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Electric Flux How do we measure the number of “Field Lines” crossing a surface ? Quantitative: “Electric Flux” If E crosses A “head on” If E crosses A at angle: (surface normal vector ) E N is field component normal to surface A & n EA Φ= cos N EA E A θ =
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Problem Solving with Gauss' Law Gauss law was made for symmetries !
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This note was uploaded on 06/29/2010 for the course PHY2049C PHY2049C taught by Professor Duke during the Summer '10 term at FSU.

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Elec Field II - PHY 2049C General Physics B Fields Circuits Waves Light Today 1 Gauss Law Question 1 Imagine a sphere in a region of uniform

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