Lecutre 4 Notes

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Washington University in St Louis *

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111A

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Physics

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Oct 30, 2023

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pdf

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2

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Lecture 4 Objectives ( Building towards our first atomic model ) Recognize electrons are negatively charged the " elemental charge " Understand and Explain the results of the Cathode ray experiment and Millikan Experiments and how they work Dalton atoms are the smallest unit of anything ( not true atoms are neutral particles ( true JJ Thomson " Cathode Ray Experiment " vacuum no gas at all , pressure is zero 1- + t ¥ + + + + + " " " " " " : ¥¥¥¥ ÷÷ struck by an from diff high voltage causes cathode to emit cathode rays cathode ray beam cathode rays position ¥ # cathode rays travel in straight lines hole lets - When struck ( in absence of field ) out some of - with beam cathode electric field deflects the particles in the beam rays stream of charged particles ( cathode ray ) high voltage deflected in opposite direction to glass tube vacuum applied field stream of charged particles deflected by the field negative opposite direction of the field / pulled towards positive plate metal electrode produces cathode rays metal electrode is made up of a bunch of metal atoms metal atoms are initially neutral but they lose electrons to generate cathode rays Thomson also used magnetic fields to deflect cathode rays if you apply a known electric field , you can figure out the forces you're applying if you apply a known magnetic field , you can figure out the forces you're applying vary electric and magnetic field inferred properties of charged particles doesn't mean or mass just Inferred ( by manipulating fields applied ) change to mass ratio = > q " " " " " " " relationship change to mass ratio for cathode ray particles ( aka electrons ) 91m = 1.7588 × 10 " C / kg changed the metals that produced the cathode ray found same ratio = > same particle being emitted fundamental component of every atom = > all atoms contain electrons
Properties of the electrons ? Millikan Oil Drop Experiment Apparatus : Chamber Results of the Experiment : oil Air i. ^ i drop 2 Dominant Forces casting on the drops ) : injector mm , + u ; microscope gravity : Taj = Mod g- w/o the Ct > %-) disks = > Mod > measured É i increase the É disks , = > electric : IE = god É some negatively charged droplets slow down and stop , 7=0 Purpose of the electric field ? so when the oil drops fall those that are the Id =D oil drop injector creates neutral oil negatively charged will feel a repulsion Drops y drops , positively charged oil drops that are positively charged will feel an and negatively charged oil drops attraction towards the negative disk ¥ -0T = F% + F) = 0 = Mod g- É= g- measured all the oil drops fall due to gravity :q=-M ¥ d# but now they're going to interact with y q the electric field once they get into measured constant the region I Repeated experiments w/ a + V on the bottom and V on the top plate they found the charge on the oil Repeated for tv on bottom plate will repulse anything with a positive charge droplets was a constant multiple of many droplets = > now they are measuring the properties and charge on charged oil droplet a single value : q=n C- 1.60 co " C) Y same result ! # charge of q : n ( 1.60 × 10 " c) an e- Fg = Mod g Mod mass of oil drop ( downward ) FE = God É God charge on the oil drop ( upward ) equate the two forces to get charge God always integer multiple of 1.602 × 10 " C tells us oil drops accumulate n charges God = n (-1.602 × 10-19) C for negative drops = n (1.602 × 10-19) ( for positive drops lfelectron = 1.602 × 10 -19C Mod = 9.11 × 10-3 ' kg from Thomson Balance forces gravity will always be the same force due to electric field acts on the charge on the drop flipped so we're interested in the positively charged drops 1. 602 × 10 " C magnitude of the charge on the electron magnitude " elemental charge "
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