gauss_s-law - Gauss's Law Electric Flux in a uniform...

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Gauss’s Law Electric Flux in a uniform electric field electric flux E Φ (E A) E is not perpendicular to A Vector formula for electric flux: Note: E is proportional to N/ A , which means that N is proportional to E A = electric flux (N being the number of field lines passing through A ) Electric Flux in a non-uniform electric field Split the surface into n small surfaces ( 1 2 , ,..., n A A A V V V ) such that: 1) the surface can be considered flat 2) the electric field varies so little that it can be considered uniform
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Note: denotes integration over a closed surface A v is defined as a vector with magnitude A, and direction to and pointing out from the surface Electric Flux and Field Lines Flux entering an enclosed volume is negative ( cos 0 E dA θ < , net flux into) Flux leaving an enclosed volume is positive ( cos 0 E dA , net flux out) Flux entering and leaving an enclosed volume is zero (no net flux) (remember cos E dA E dA = v v
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gauss_s-law - Gauss's Law Electric Flux in a uniform...

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