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PPE08_GausssLaw

PPE08_GausssLaw - Electric Fields Gauss's Law RHJansen Flux...

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Electric Fields Electric Fields Gauss’s Law Gauss’s Law © RHJansen

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Flux Through a Closed Surface © RHJansen In the last presentation we saw that the flux through a closed surface was zero whenever the excess charges were found outside the closed surface . This was true when the field was uniform the field was nonuniform and even if the closed surface was unusual
Flux When the Surface Encloses Charge The flux through any closed surface due to an external electric field (charge distribution causing the field is outside the surface) is zero. What if there are charges inside the closed surface. Let’s use the sphere again. q To keep it simple we will enclose a single point charge at the center. © RHJansen

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Flux Through a Closed Surface The field will extend out from this positive charge. q Φ Ε = Ε γ δΑ The electric field E is the same at all exit points. Φ Ε = Ε δΑ It is also the field due to a point charge. Φ Ε = κ θ ρ 2 δΑ The circle in the integral symbol is used for closed surfaces.
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PPE08_GausssLaw - Electric Fields Gauss's Law RHJansen Flux...

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