L07 - Lecture 7 Electrostatic Potential Sections: 4.1, 4.2,...

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LECTURE 7 slide 1 Lecture 7 Electrostatic Potential Sections: 4.1, 4.2, 4.3, 4.4 Homework: D4.1, D4.2, D4.3, D4.4, D4.5; 4.3, 4.4, 4.5, 4.6, 4.9, 4.10, 4.12
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LECTURE 7 slide 2 Work – 1 differential work cos Wd W d F d L α Δ= Δ⇒ = = FL F L work done from A to B , J B A =⋅ work is positive if the applied force is in the direction of displacement work is negative if the applied force is opposite to the direction of displacement F Δ L 0 WF L Δ > F Δ L 0 L Δ =− Δ < F Δ L 0 W Δ = F Δ L A B d L F work is zero if force is orthogonal
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LECTURE 7 slide 3 Work – 2 examples with gravity (uniform motion) L Δ g F m F α 0, man does work (expends energy) mm WF L = Δ> cos 0, rock gains energy gg L = Δ< cos mg WW FF = − =− cos 0, gravity does work (rock loses energy) L > L Δ g F m F 0 L =− Δ < man provides enough friction to prevent acceleration, gains energy (heat)
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LECTURE 7 slide 4 Line Integration – 1 we have already studied the line integral of the type (see L04) B l A Qd L ρ = the work integral involves a dot product x y z A B () u r d r B A Wd = FL x yz dW d F dx F dy F dz ⇒= = + + x x ux u y u z u d d dx dy dz =++ == + + ra a a Lr a a a x xy z FF F Fa a a B xyz A W F dx F dy F dz + +
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LECTURE 7 slide 5 Line Integration – 2 RC S : (,,) C C S : (,, ) ) ) S C S : ( ,,) ( ( ,,)s i n B xyz A B z A B r A W F xyzd x F xyzd y F xyzd z WF z d F z d F z d z W F rd r F rr d F d
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This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.

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L07 - Lecture 7 Electrostatic Potential Sections: 4.1, 4.2,...

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