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## General Physics II

by: Lamont Barton

8

0

3

# General Physics II PHYSICS 240

Lamont Barton
UM
GPA 3.91

Andrew Tomasch

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COURSE
PROF.
Andrew Tomasch
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Physics 2

This 3 page Class Notes was uploaded by Lamont Barton on Thursday October 29, 2015. The Class Notes belongs to PHYSICS 240 at University of Michigan taught by Andrew Tomasch in Fall. Since its upload, it has received 8 views. For similar materials see /class/231644/physics-240-university-of-michigan in Physics 2 at University of Michigan.

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Date Created: 10/29/15
Discussion Notes Physics 240 January 16 2005 NO CLASS TODAY MLK HOLIDAY Discussion Charge Densities We can calculate the electric eld due to a point charge q at a point in space located at position I7 as l 4750 r2 Ea r We can also calculate the total electric eld at the point I7 due to a collection of point charges by forming the vector sum of the electric elds at point I7 due to each ofthe individual charges a process we call linear superposition We can use the linear superposition technique to evaluate the electric eld due to a continuous extended distribution of charges The approach is to break the extended charge distribution into small charge elements dQ and evaluate the electric eld dE that dQ contributes at the position I7 If we then sum up the contributions from all the charge elements the linear superposition of all the contributions to the eld dE will produce the total eld E at the position I7 This is illustrated in the following cartoon Dlsrm swab CHAR Gus Q 0 aq We need a convenient way to break objects into charge elements and then sum up the contributions from all the elements to get the total electric eld This leads naturally to the concept of charge density We will encounter three types of charge densities 0 Linear charge density where the charge is distributed evenly along the length ofa linear object line arc curve ring Linear charge density has units of chargelength and is usually denoted A lower case Greek lambda For a linear charge density the charge element is dQ id where d is an element of length along the line or curve Surface charge density where charge is distributed evenly over an area plane disk surface of a sphere Surface charge density has units of chargearea chargelengthz and is usually denoted as 039 lower case Greek sigma For a surface charge density the element of charge is dQ O39dA where dA is an element of area on the surface Volume charge density where charge is distributed throughout a volume sphere cube cone Volume charge density has units of chargevolume chargelength3 and is usually denoted as 0 lower case Greek rho For volume charge density the charge element is dQ pdV where dV is an element ofvolume in the extended charge distribution Discussion Notes and Class Agenda Physics 240 February 1 2006 Problem Assignments Problem Groups 2414 1 3 2462 5 7 2466 2 4 2412 6 8 Discussion Capacitance and Capacitors Having established a good understanding of charge electric elds and electrostatic potential we now turn to the practical application of what we have learned by studying our rst electronic component the capacitor We have seen that many objects can store charge and that we can relate the charge stored to the potential applied QCV The proportionality constant C is called the capacitance of the object and depends only on the geometry ofthe object or device which stores the charge The capacitance has units of 80Xlength This is useful for roughly estimating the capacitance of objects Example Stray Capacitance Since 80885 X103912 C2Nm2 we see immediately that objects 01 meter 10 cm in size will have capacitances of order 103912 Farad 1 pF The picofarad sometimes called a puff is the smallest common unit of capacitance used in electronics and stray or unwanted capacitance in

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