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p2S10_lec02_gauss_law

# p2S10_lec02_gauss_law - Physics 1200 Lecture 2 2010 Gauss...

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Physics 1200 Lecture 2 2010 Gauss’ Law Flux of a Field, The surface normal Using Gauss’ Law to find the field

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MAXWELL’S EQUATIONS 0 0 0 0 B E q d E dA E ds dt d B dA B ds i dt ε μ ε Φ × = × = - Φ × = × = + ÷ r r r r Ñ Ñ r r r r Ñ Ñ Throughout this semester we will eplain and use the laws deduced above
GAUSS’ LAW 0 enclosed q E dA ε × = r r Ñ The net electric flux emerging from a closed surface is proportional to the charge enclosed within the surface. Or, the net positive charge enclosed within a surface is proportional to the number of field lines emerging from the surface.

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Flux E E dA Φ = × r r Ñ What is “flux”? Let’s find out. ˆ n ˆ n To understand flux, think of air flowing through a window. The direction and speed of the air is the velocity. If the velocity is perpendicular to the window, more air passes through it.
Flux ( cos ) E E dA E dA θ Φ = × = r r dA is an element of area (e.g. - dxdy) with a vector direction taken normal to the area itself.

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