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Unformatted text preview: cancel each other out and that is why the size of the surface enclosing Q does not matter. Flux • Symbol Ф E • Unit Nm 2 /C • Equation: ∫ ⋅ = Φ = ⋅ = Φ A d E EA A E E E θ cos What we can conclude about Ф 1. Ф is proportional to q 2. Whether Ф is inward or outward depends on the q inside the surface 3. A q outside the surface offers zero Ф because Ф in = Ф out Ф = 0 through triangular prism below. See board for the proof E = 500 N/C 40 cm 50 cm 30 cm 40 cm Gauss’ Law • The total electric flux through any closed surface is proportional to the net electric charge inside the surface Gauss’ Law cos ε θ enclosed enclosed E Q dA E dA E A d E Q A d E = = = ⋅ = ⋅ = Φ ∫ ∫ ∫ ∫ ⊥ Point Charge Uniformly charge insulator at a varying r Line of Charge Sheet of Charge...
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This note was uploaded on 04/12/2011 for the course PHYS 1320 taught by Professor Staff during the Spring '11 term at North Texas.
 Spring '11
 staff
 Physics, Charge, Gauss' Law

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