110411-opp - 4/11/11 Physics 122 1 4/11/11 Physics 122 2...

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Unformatted text preview: 4/11/11 Physics 122 1 4/11/11 Physics 122 2 General case ΔU E = − FE ⋅ Δr ( ΔU E = − ∑ FE ⋅ Δr ) (small step) (lots of little steps) finish ΔU E = − ∫ FE ⋅ dr start Simplest case (one source charge, one test charge) finish ΔU E = − ∫ start ⎛1 1⎞ kC qQ dr FE ⋅ dr = − ∫ 2 dr = − kC qQ ∫ 2 = − kC qQ ⎜ − ⎟ r r ⎝ ri rf ⎠ ri ri kC qQ U E (r ) = r 4/11/11 rf rf NOT A VECTOR – JUST A NUMBER Physics 122 5 ΔU E = − F ⋅ Δr = work done moving charge against field U pt. ch. q in field of pt. ch. Q kC qQ = r PE 6 Field 4/11/11 Physics 122 grav. field of earth = 4/11/11 FE →m m=g Physics 122 E (r ) = Fq Fq = qE (r ) q (test charge q placed at the point r ) 8 ΔU = − F i Δr ΔU F=− Δr (stepping in the direction of the steepest descent) 4/11/11 Physics 122 18 F E= q 4/11/11 U V= q Physics 122 ΔV Ex = − Δx 19 r ∞ to r 4/11/11 Physics 122 20 A. B. 4/11/11 Physics 122 21 ...
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This note was uploaded on 12/28/2011 for the course PHYSICS 122 taught by Professor Bhagat during the Fall '11 term at Maryland.

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110411-opp - 4/11/11 Physics 122 1 4/11/11 Physics 122 2...

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