Phys1004_Chap24a.pdf - Chap 24 Electric potential Dag...

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Chap 24: Electric potential Dag Gillberg
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Recap from last lecture Gauss’ law Φ = I A ~ E · d ~ A = q enc " 0 electric field perpen- dicular to the area integral over closed area net electric flux (though the closed area) enclosed charge (inside the closed area)
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Measures of electric charge Symbol Density Unit λ Linear charge density C / m σ Surface charge density C / m 2 ρ Volume charge density C / m 3 q Charge C
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Electric field around infinite conductor (now for the third time)
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Electric field around infinite conductor (now for the third time) ~ E = λ 2 ⇡" 0 r ˆ r
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Infinite sheets + + + + + + + + + + + + + + + + + + + + + + + + conductor non-conductor
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Infinite sheets + + + + + + + + + + + + + + + + + + + + + + + + conductor non-conductor
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More points Electric field versus distance for wire and plates Infinite, neutral conducting sheet in an electric field Infinite neutral conduction sheet between two charged ones
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Problem +2Q -Q r We have a conducting, spherical shell with inner radius b, and outer radius c around a conducting sphere with radius a. What is the electric flux as a function of radius r ?
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Problem +2Q -Q r We have a conducting, spherical shell with inner radius b, and outer radius c around a conducting sphere with radius a. What is the electric flux as a function of radius r ? derivation on the board using a G-sphere put in at different r r Φ a b c 2Q/ ε 0 Q/ ε 0
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Problem +2Q -Q r We have a conducting, spherical shell with inner radius b, and outer radius c around a conducting sphere with radius a. What is the electric flux as a function of radius r ?
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Chapter 24 - Electric potential
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Potential energy Work is defined as Potential energy = “capacity of doing work” In a (electric) force field, change in potential energy U is the negative of the work done by the field W = Z ~ F · d ~ s Δ U = - W
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Electric vs gravitational potential energy F = mg An apple is pulled down by gravity.
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