Physics II - Lecture 2 (Gauss' Law)

# Physics II - Lecture 2 (Gauss' Law) - Physics 1200 Lecture...

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1 Physics 1200 Lecture 2 Spring 2011 Flux of a Field, The surface normal Using Gauss’ Law to find the field Electric Potential

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2 Representing the field: Electric Field Lines •Electric field lines show the direction of E at any point. •The magnitude of E is proportional to the density of electric field lines. •Electric field lines originate on positive charges and terminate on negative charges, unless they extend to infinity.
3 Electric Field Lines for a Negative Point Charge Electric Field Lines for Two Charges Electric field is also represented by the yellow vectors.

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4 Four ways to find the field 1. Measure the force on a known charge. 2. Add up the vector fields from every point charge. 3. Calculate the potential V(x,y,z) and use: ;; x y z V V V E E E x y z       4. Use Gauss’ Law EV  
5 MAXWELL’S EQUATIONS: Gauss’ Law 0 00 0 B E qd E dA E ds dt d B dA B ds i dt                Throughout this semester we will explain and use these laws.

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6 GAUSS’ LAW 0 enclosed q E dA  The net electric flux emerging from a closed surface is proportional to the charge enclosed within the surface.
7 Net Charge Net Flux No Net Charge No Net Flux

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8 Flux E E dA    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.
9 ˆ n ˆ n Flux ( cos ) E xy xy E dA E dxdy      

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## This note was uploaded on 03/21/2011 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.

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Physics II - Lecture 2 (Gauss' Law) - Physics 1200 Lecture...

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