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lecture6 - Physics 2102 Gabriela Gonzlez Physics 2102 Gauss...

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Physics 2102 Gauss’ law Physics 2102 Gabriela González Carl Friedrich Gauss 1777-1855

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Electric Flux Electric Flux A surface integral! CLOSED surfaces: define the vector dA as pointing OUTWARDS Inward E gives negative Φ Outward E gives positive Φ Φ = ρ E · d r A ò
Gauss’ Law Consider any ARBITRARY CLOSED surface S -- NOTE: this does NOT have to be a “real” physical object! The TOTAL ELECTRIC FLUX through S is proportional to the TOTAL CHARGE ENCLOSED! The results of a complicated integral is a very simple formula: it avoids long calculations! = Φ Surface 0 ε q A d E S (One of Maxwell’s 4 equations)

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Gauss’ law, using symmetry Shell theorem Spherical symmetry Planar symmetry
Two infinite planes +Q E+= σ/2ε0 E-= σ/2ε0 E=0 E=0 E= σ/ε0 A uniform field!

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planes Q 0 0 2 2 ε σ A Q E = = Insulating plate: charge distributed homogeneously. 0 0 2 A Q E = = Conducting plate: charge distributed on the outer surfaces. Q/2
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This note was uploaded on 11/18/2011 for the course PHYSICS 2102 taught by Professor Dowling during the Fall '10 term at LSU.

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lecture6 - Physics 2102 Gabriela Gonzlez Physics 2102 Gauss...

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