P2S10_lec02_gauss_la - Physics 1200 Lecture 2 2010 Gauss’ Law Flux of a Field The surface normal Using Gauss’ Law to find the field MAXWELL’S

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Unformatted text preview: Physics 1200 Lecture 2 2010 Gauss’ Law Flux of a Field, The surface normal Using Gauss’ Law to find the field MAXWELL’S EQUATIONS 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 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. 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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This note was uploaded on 10/17/2011 for the course PHYS 1010 taught by Professor Schroeder during the Spring '07 term at Rensselaer Polytechnic Institute.

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P2S10_lec02_gauss_la - Physics 1200 Lecture 2 2010 Gauss’ Law Flux of a Field The surface normal Using Gauss’ Law to find the field MAXWELL’S

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