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lecture5 - L ecture 5 E lectric Flux G ausss Law This...

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Lecture 5: Electric Flux Gauss’s Law
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This device puts charge on the metal sphere. We’ll use that charge on a conductor connected to 2 aluminum sheets. What will happen to the sheets? August 8, 2013 2 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer
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Physics Concept Components Learning Outcome Electric Force and Fields Charge and its analogy to mass Coulomb’s Law and its analogy to gravity Electric Fields Electric Flux Gauss’s Law Electric Potential Capacitance Material Properties Evaluate the forces of charged objects on one another. Evaluate value and magnitude of electric fields at arbitrary points in space. Evaluate the potential differences between objects (surfaces and points). Calculate flux with surface integrals. Deduce electric fields using Gauss’s Law. Discern between electric potential and electric potential energy Compute electric field and potential for point charges Compute electric field and potential from charge distributions August 8, 2013 3 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer
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The idea is that you have a surface (real or not) and you want to know how much electric field is going through it. Flux is just how much of something goes through some space. You can think of it as a collection of field lines. August 8, 2013 4 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer Φ E = E d A Surface
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A uniform electric field picture below has strength E 0 =3.0N/C. What is the flux through the slanted side of the wedge? What is the flux through the back side? A) B) C) August 8, 2013 5 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer Φ E , Back = 0.09 N m 2 C Φ E , Slant = 0.09 N m 2 C Φ E , Back = 0 N m 2 C Φ E , Slant = 0.09 N m 2 C Φ E , Back = 0.09 N m 2 C Φ E , Slant = 0.18 N m 2 C
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What we showed on the last slide is a specific example of something general Charge enclosed inside of a Gaussian Surface (close surface) is directly related to the electric flux through that surface. If there is nothing charged inside, then the flux is 0. August 8, 2013 6 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer Φ Elec = E d A = Q Enclosed ε 0
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If there is no charge inside and the surface is Gaussian (closed), then all the field coming in will go out. August 8, 2013 7 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer +x +y
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If there is no charge inside and the surface is Gaussian (closed), then all the field coming in will go out. If there is charge in the center one can see that field lines will come in or go out Thus the amount field should be proportional to the charge inside. August 8, 2013 8 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer +x +y
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What is the electric flux in the spherical surface S pictured to the right? A) 0 B) Q/ ε 0 C) 2Q/ ε 0 D) 3Q/ ε 0 E) 4Q/ ε 0 August 8, 2013 9 Physics 2B -­‐ Summer Session 2 -­‐ C. Palmer -­‐Q +Q +Q +Q S
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What is the electric flux in the spherical surface S pictured to the right?
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