Lec6 - Physics 8B Professor Catherine Bordel 09/10/10...

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Physics 8B Professor Catherine Bordel 09/10/10 Lecture 6 ASUC Lecture Notes Online is the only authorized note-taking service at UC Berkeley. Do not share, copy, or illegally distribute (electronically or otherwise) these notes. Our student-run program depends on your individual subscription for its continued existence. These notes are copyrighted by the University of California and are for your personal use only. D O N O T C O P Y Sharing or copying these notes is illegal and could end note taking for this course. LECTURE We’re going to continue with electric potential energy . Last time we only covered a system of one charged particle. Now we are going to two particles and the generalization for a set of n charged particles. Then we’ll cover conductors. The electrostatic energy is equal to the work of moving the particle from A to B. If the charge is q, then the electrostatic potential energy equals q times the difference in electric potential, V A -V B . You have a system of two point charges, q 1 at q 2 at points M 1 and M 2 , respectively. The distance between these two point charges is r 12 . The charge divided by 4 πε 0 and the distance r between the charge and the point you’re studying. 1 1 2 2 12 V q V q W W = = = V 2 =electric potential created by q 1 at M 2 V 1 =electric potential created by q 2 at M 1 12 2 1 12 1 12 0 1 2 4 r kq V r kq r q V = = = πε Then we get: 12 2 1 12 0 2 1 4 r q kq r q q W = = This is the electrostatic energy of a system of two point charges. Now we can apply it to a system of n point charges. If you have a distribution of n point charges and you want to calculate the total charge in your distribution, this is the expression we use to calculate the total charge.
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Lec6 - Physics 8B Professor Catherine Bordel 09/10/10...

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