lecture6

# lecture6 - Physics 2102 Gabriela Gonzlez Carl Friedrich...

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1 Physics 2102 Gabriela González Carl Friedrich Gauss 1777-1855 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 = E d A

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2 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! S (One of Maxwell’s 4 equations) Gauss’ law, using symmetry Shell theorem Spherical symmetry Planar symmetry
3 +Q E + = σ /2 ε 0 ± Q E - = σ /2 ε 0 E=0 E=0 E= σ / ε 0 A uniform field! Q Insulating plate: charge distributed homogeneously. Conducting plate: charge distributed on the outer surfaces. Q/2

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4 • Charge of 10 C is uniformly spread over a line of length L = 1 m. • Use Gauss’ Law to compute magnitude of E at a perpendicular distance of 1 mm from the center of the line.
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lecture6 - Physics 2102 Gabriela Gonzlez Carl Friedrich...

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