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L13_a - ELECTRIC FLUX(section 19.8 Electric flux is a...

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ELECTRIC FLUX (section 19.8) Electric flux is a quantity that is proportional to the number of electric field lines (EFL) passing through a given area. Will develop precise definition Very important concept. Will be used to relate electric field to charge. 1 st step : Define a vector associated with a small element of area on a surface SURFACE NORMAL is a vector perpendicular to an element of surface area with a magnitude equal to the area, A , of the surface element
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2 nd step: Define flux for through an area in a region of uniform E r Flux through area element A with normal parallel to E r is EA = Φ E Flux through area element A with normal at an angle θ to E r is θ cos E EA = Φ o θ cos A is the projection of area onto plane perpendicular to E r o Electric flux through area A decreases as angle between surface normal and E r increases
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3 rd step: General case Surface may be curved and E r may be non-uniform For small enough i A : o Can treat area element i A
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