notes10 2317 - ECE 2317 Applied Electricity and Magnetism z...

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Prof. Filippo Capolino ECE Dept. Fall 2006 Notes 10 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Notes prepared by the EM group, University of Houston . (used by Dr. Jackson, spring 2006) Gauss ’s Law s Law x y z q E S (closed surface) q N flux lines Ψ = N ( all flux lines go through S ) ± S D ndS q ⋅= v The charge q is inside the surface Gauss Gauss ’s Law s Law N S = 0 q S ± 0 S Dnd S v The charge q is now outside the surface Gauss Gauss ’s Law s Law To summarize both cases, ± encl S S Q v By superposition, this law must be true for arbitrary charges.
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Example Example -q q 2 q S 1 S 2 ± ± 1 2 0 S S Dnd S q S ⋅= v v Note: charge 2 q produces E on S 1 and S 2 even though it does not appear on the RHS of Gauss’s law. Note: E 0 on S 2 ! Using Gauss Using Gauss ’s Law s Law Gauss’s law can be used to obtain the electric field for certain problems: The problems must possess high degrees of symmetry The problem must reduce to one unknown field component.
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This note was uploaded on 10/25/2011 for the course ECE 2317 taught by Professor Staff during the Fall '08 term at University of Houston.

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notes10 2317 - ECE 2317 Applied Electricity and Magnetism z...

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