PHYSICS 272 Electric & Magnetic Interactions. Prof. Andrew Hirsch Room: 178, Phone: 42218

Size: px
Start display at page:

Download "PHYSICS 272 Electric & Magnetic Interactions. Prof. Andrew Hirsch Room: 178, Phone: 42218"

Transcription

1 PHYSICS 7 Electic & Magnetic Inteactions Pof. Andew Hisch Hisch@pudue.edu Room: 78, Phone: 48

2 Couse Content This couse deals with electic and magnetic inteactions, which ae cental to the stuctue of matte, to chemical and biological phenomena, and to the design and opeation of most moden technology. The main goal of this couse is to have you engage in a pocess cental to science: the attempt to model a boad ange of physical phenomena using a small set of poweful fundamental pinciples. The specific focus of the couse is an intoduction to field theoy, in tems of the classical theoy of electicity and magnetism (E&M). The couse also emphasizes the atomic stuctue of matte, especially the ole of electons and potons in matte.

3 Schedule Lectues: Monday, Wednesday 0:30 - :0 Lectue Room: PHYS Instucto: Pof. Andew Hisch Office hous: by appointment Office: PHYS 78, Phone: (49)-48 hisch@pudue.edu (please use subject: PHYS 7) Teaching Assistants: David Blasing, John Doyle, Jonathan Nisto, Justin Sheek Couse infomation: Undegaduate Office - PHYS 44

4 Textbook The textbook is Matte & Inteactions, vol II: Electic & Magnetic Inteactions by R. Chabay & B. Shewood (John Wiley & Sons 007). We will cove almost all of the topics in this volume. See the table of contents at the font of the book (which also includes the contents of Volume I). Make sue it is the Thid Edition. The new book comes with a fee coupon fo WebAssign, the on-line homewok sevice. Follow the instuctions and get youself egisteed.

5 Geneal Infomation Room PHYS 44: Undegaduate office Room PHYS : Help cente Room PHYS 90: Physics Libay We will use WebAssign fo homewok and lab assignments. You will be able to access you scoes in CHIP. See Impotant Links on couse web page fo details Fo uestions concening WebAssign contact: V.K. Saxena: Office: PHYS 76, Phone: 49575

6 Activities and Responsibilities In-class activities and esponsibilities You ae esponsible fo attending all classes, and attendance will count towad you gade. Bing a scientific calculato to class. If you miss class, it is you esponsibility to find out what you missed. Lectues slides will be available shotly afte lectue concludes. Homewok Homewok and lab assignments will be posted on the web. See WebAssign (and Calenda section) fo due dates. Outside class Study assigned textbook sections. An assignment to study sections of the textbook means: Read the assigned textbook sections thoughtfully. Do the "stop and think" activities. Wite bief solutions to the in-line "execises" and keep them in a notebook.

7 Quizzes, Exams, Gades Clicke Questions in Lectue: Shot multiple choice uestions will be posed in lectue. The pupose is to assess you undestanding. It will also be used to check attendance. We will stat counting clicke uestions towads you gade at lectue #5. You have to puchase an iclicke ( ) fom the bookstoe. You must egiste you clicke ID in CHIP Exams: Thee will be two -hou exams and a -hou final exam. All exams ae closed-book, but elevant fomulas and constants will be povided. Gades: The final gade will be detemined on the following basis (Couse Total = 700 points): 00 points - final exam 00 points each - two -hou exams (Feb 8, Mach ) 75 points - WebAssign homewok 00 points Labs 5 points - Clicke Questions & Attendance 00 points Recitation Poblems

8 This Week Study chaptes 4 and 5. Lab will stat this Wed. Do not fall behind

9 Clicke Question A) Engineeing B) Science C) Libeal Ats D) Education E) Othe Set you clicke feuency to AB My majo is

10 Clicke Question A) Physics B) Physics C) Physics D) Physics Ε) Πηψσιχσ My favoite subject is

11 Electic and Magnetic Fields Electic and magnetic fields manifest thei existence though inteactions with matte Maxwell euations: " div( E) = $ # E = 0 div( B) = " B = 0 cul( E) = " E = # $B" $t & cul( B) = ) ( B = µ 0$ J + * % 0 ' E ' t # " Loentz foce: F = E + v B

12 Point Chages Two types: positive and negative Like chages: epel Opposite chages: attact Chage is uantized in units of e Millikan s oil dop expeiment (90-93) Point chage: Size is small compaed to the distance between it and othe objects of inteest Electic chage is an intinsic popety of the fundamental paticles that eveything is made of

13 F = The Coulomb Foce Law F = 4" 0 Q Q "The magnitude of the electostatic foce between two point chages is diectly popotional to the magnitudes of each chage and invesely popotional to the suae of the distance between the chages." Q Q Chales-Augustin de Coulomb ( ) F F

14 F = The Coulomb Foce Law 4" 0 Q Q ˆ ε 0 = pemittivity constant + + Foce epulsive F Foce on by + F - Foce attactive The foce exeted by one point chage on anothe acts along line joining the chages. The foce is epulsive if the chages have the same sign and attactive if the chages have opposite signs.

15 Units and Constants SI units of electic chage: Coulomb, C Constants: F = F /4πε 0 = 9x0 9 N. m /C ε 0 = 8.85x0 - C /N. m pemittivity constant e =.60x0-9 C " C = 6.4x0 8 elementay chages Paticle Chage electon -e positon +e poton +e antipoton -e muon +e o e pion +e o e o 0 neuton 0 = 4" 0 Q Q

16 Matte consists of atoms cm 3 : ~0 4 atoms Stuctue of Atom Nucleus: ~0 4 times smalle than electon cloud, ~0 4 times heavie than electon. Å=0-0 m Example: nucleus of the ion atom Size: ~0 5 m, mass: ~0-5 kg Nucleus chage = +Ze, atom with Z electons is neutal.

17 The Concept of Electic Field Acceleates at 9.8 m/s why? Acceleates at 0 m/s why? Thee ae many possible configuations of chages to poduce the obseved effect.

18 Electic Field Thee is something in space waiting fo a chaged paticle to inteact with it This vitual foce is called electic field. An electic field ceated by chage is pesent thoughout space at all times, whethe o not thee is anothe chage aound to feel its effect.

19 Definition of Electic Field E F = " # $ $ % & = = F F '( '( / F E =

20 Electic Field E = F / If ou pobe chage is positive o negative F due to given E will point in coect diection. E E,,, ( x y z t) Electic field has units of Newtons pe Coulomb: [N/C]

21 " # $ $ % & = 0 4 F '( E F = 0 4 E " = E ˆ 4 0 " = Including diection: 3_E_point_chage_dag.py The Electic Field of a Point Chage + -

22 Example Poblem A paticle with chage + nc ( nanocoulomb=0-9 C) is located at the oigin. What is the electic field due to this paticle at a location <-0.,-0.,-0.> m? Solution:. Distance and diection: = obseved _ location souce_ location = 0.,0.,0. 0, 0, 0 = 0.,0.,0. = 0. ˆ = ( ) + (0.) + (0.) = 0.35 m = 0.,0., E = 0.57,0.57,0.57 = 4" 0 ˆ

23 Example Poblem. The magnitude of the electic field: E Nm C 9 #& ' 0 C "% 0.35 m ( & = 9 $ 9 0 $ = ' 4)* 0 % # " E = 47 N C = 4" 0 ˆ 3. The electic field in vecto fom: E E = = Eˆ ' N $ = % 47 " & C # 84, 84, , 0.57, 0.57 N C

24 The Physical Concept of Field Field: physical uantity, can be scala o vecto Examples: Tempeatue T(x,y,z,t) Ai flow, gavitational field m F = F = mg E

25 Foces due to an Electic Field Example: The electic field at a paticula location is <-300,0,0> N/C. What foce would an electon expeience if it wee placed in this location? Y E e F X Solution: F = ee =.6 " 0 9 C 300,0,0 N/C F = 4.8" 0 7,0,0 N

PHYSICS 272 Electric & Magnetic Interactions. Prof. Andrew Hirsch Room: 178, Phone: 42218

PHYSICS 272 Electric & Magnetic Interactions. Prof. Andrew Hirsch Room: 178, Phone: 42218 PHYSICS 7 Electic & Magnetic Inteactions Pof. Andew Hisch Hisch@pudue.edu Room: 78, Phone: 48 Couse Content This couse deals with electic and magnetic inteactions, which ae cental to the stuctue of matte,

More information

PHYSICS 272H Electric & Magnetic Interactions

PHYSICS 272H Electric & Magnetic Interactions PHYSICS 7H Electic & Magnetic Inteactions Physics couse home page: http://www.physics.pudue.edu/academic-pogams/couses/all_couses.php Blackboad Lean: https://mycouses.pudue.edu/webapps/login/ Couse Content

More information

PHYS 1441 Section 002. Lecture #3

PHYS 1441 Section 002. Lecture #3 PHYS 1441 Section 00 Chapte 1 Lectue #3 Wednesday, Sept. 6, 017 Coulomb s Law The Electic Field & Field Lines Electic Fields and Conductos Motion of a Chaged Paticle in an Electic Field Electic Dipoles

More information

Physics 202, Lecture 2

Physics 202, Lecture 2 Physics 202, Lectue 2 Todays Topics Electic Foce and Electic Fields Electic Chages and Electic Foces Coulomb's Law Physical Field The Electic Field Electic Field Lines Motion of Chaged Paticle in Electic

More information

Lecture 3.7 ELECTRICITY. Electric charge Coulomb s law Electric field

Lecture 3.7 ELECTRICITY. Electric charge Coulomb s law Electric field Lectue 3.7 ELECTRICITY Electic chage Coulomb s law Electic field ELECTRICITY Inteaction between electically chages objects Many impotant uses Light Heat Rail tavel Computes Cental nevous system Human body

More information

PHYSICS 272 Electric & Magnetic Interactions

PHYSICS 272 Electric & Magnetic Interactions PHYS 7: Matte and Inteactions II -- Electic And Magnetic Inteactions http://www.physics.pudue.edu/academic_pogams/couses/phys7/ PHYSICS 7 Electic & Magnetic Inteactions Lectue 3 Chaged Objects; Polaization

More information

Electric Charge and Field

Electric Charge and Field lectic Chage and ield Chapte 6 (Giancoli) All sections ecept 6.0 (Gauss s law) Compaison between the lectic and the Gavitational foces Both have long ange, The electic chage of an object plas the same

More information

Electric Field. y s +q. Point charge: Uniformly charged sphere: Dipole: for r>>s :! ! E = 1. q 1 r 2 ˆr. E sphere. at <0,r,0> at <0,0,r>

Electric Field. y s +q. Point charge: Uniformly charged sphere: Dipole: for r>>s :! ! E = 1. q 1 r 2 ˆr. E sphere. at <0,r,0> at <0,0,r> Electic Field Point chage: E " ˆ Unifomly chaged sphee: E sphee E sphee " Q ˆ fo >R (outside) fo >s : E " s 3,, at z y s + x Dipole moment: p s E E s "#,, 3 s "#,, 3 at

More information

7.2. Coulomb s Law. The Electric Force

7.2. Coulomb s Law. The Electric Force Coulomb s aw Recall that chaged objects attact some objects and epel othes at a distance, without making any contact with those objects Electic foce,, o the foce acting between two chaged objects, is somewhat

More information

Physics 11 Chapter 20: Electric Fields and Forces

Physics 11 Chapter 20: Electric Fields and Forces Physics Chapte 0: Electic Fields and Foces Yesteday is not ous to ecove, but tomoow is ous to win o lose. Lyndon B. Johnson When I am anxious it is because I am living in the futue. When I am depessed

More information

PHYSICS W term 2

PHYSICS W term 2 PHYSICS 153 08W tem Electicity, Magnetism, Electomagnetic Waves, Optics Pof. W. McCutcheon Henn. 81 604-8-634 mccutche@phas.ubc.ca Office hous: Monday 10:30-11:30 Fiday 10:30-11:30 o by appointment Text:

More information

Welcome to Physics 272

Welcome to Physics 272 Welcome to Physics 272 Lectue 1 Electic Chage and Coulombs Law Bob Mose mose@phys.hawaii.edu http://www.phys.hawaii.edu/~mose/physics272.html GO TO THIS SITE FOR ALL COURSE INFORMATION Phys-272 Bob Mose

More information

Electricity Revision ELECTRICITY REVISION KEY CONCEPTS TERMINOLOGY & DEFINITION. Physical Sciences X-Sheets

Electricity Revision ELECTRICITY REVISION KEY CONCEPTS TERMINOLOGY & DEFINITION. Physical Sciences X-Sheets Electicity Revision KEY CONCEPTS In this session we will focus on the following: Stating and apply Coulomb s Law. Defining electical field stength and applying the deived equations. Dawing electical field

More information

Physics 401. Electromagnetic Theory (Electrodynamics)

Physics 401. Electromagnetic Theory (Electrodynamics) Physics 401 Electomagnetic Theoy (Electodynamics) Please ead handouts and see couse webpages fo moe info Class: Monday, Wednesday & Fiday 9:00-10:00 Henn 302 Pofesso: Janis McKenna Office: Hennings-Physics

More information

20-9 ELECTRIC FIELD LINES 20-9 ELECTRIC POTENTIAL. Answers to the Conceptual Questions. Chapter 20 Electricity 241

20-9 ELECTRIC FIELD LINES 20-9 ELECTRIC POTENTIAL. Answers to the Conceptual Questions. Chapter 20 Electricity 241 Chapte 0 Electicity 41 0-9 ELECTRIC IELD LINES Goals Illustate the concept of electic field lines. Content The electic field can be symbolized by lines of foce thoughout space. The electic field is stonge

More information

Appendix B The Relativistic Transformation of Forces

Appendix B The Relativistic Transformation of Forces Appendix B The Relativistic Tansfomation of oces B. The ou-foce We intoduced the idea of foces in Chapte 3 whee we saw that the change in the fou-momentum pe unit time is given by the expession d d w x

More information

Force between two parallel current wires and Newton s. third law

Force between two parallel current wires and Newton s. third law Foce between two paallel cuent wies and Newton s thid law Yannan Yang (Shanghai Jinjuan Infomation Science and Technology Co., Ltd.) Abstact: In this pape, the essence of the inteaction between two paallel

More information

Chapter Sixteen: Electric Charge and Electric Fields

Chapter Sixteen: Electric Charge and Electric Fields Chapte Sixteen: Electic Chage and Electic Fields Key Tems Chage Conducto The fundamental electical popety to which the mutual attactions o epulsions between electons and potons ae attibuted. Any mateial

More information

Aaa Hal ARC 103 Haq Mou Hill 114 Mug Seh PHY LH Sen Zzz SEC 111

Aaa Hal ARC 103 Haq Mou Hill 114 Mug Seh PHY LH Sen Zzz SEC 111 The Fist Midtem!!! The fist common hou midtem exam will be held on Thusday Octobe 5, 9:50 to 11:10 PM (at night) on the Busch campus. You should go to the oom coesponding to the fist 3 lettes of you last

More information

Introduction: Vectors and Integrals

Introduction: Vectors and Integrals Intoduction: Vectos and Integals Vectos a Vectos ae chaacteized by two paametes: length (magnitude) diection a These vectos ae the same Sum of the vectos: a b a a b b a b a b a Vectos Sum of the vectos:

More information

PHYS 172: Modern Mechanics. Fall Lecture 6 Fundamental Forces, Reciprocity Read

PHYS 172: Modern Mechanics. Fall Lecture 6 Fundamental Forces, Reciprocity Read PHYS 172: Moden Mechanics Fall 2009 Lectue 6 Fundamental Foces, Recipocity Read 3.9 3.14 Exam 1 - Tuesday Septembe 15, 8:00-10:00 PM Elliott Hall of Music 1. The exam will be witten as a standad 1 hou

More information

The Millikan Experiment: Determining the Elementary Charge

The Millikan Experiment: Determining the Elementary Charge LAB EXERCISE 7.5.1 7.5 The Elementay Chage (p. 374) Can you think of a method that could be used to suggest that an elementay chage exists? Figue 1 Robet Millikan (1868 1953) m + q V b The Millikan Expeiment:

More information

Sparks. From Last Time. Other electric currents. Time-varying electric current. Eventually transatlantic signals! Electric Charge

Sparks. From Last Time. Other electric currents. Time-varying electric current. Eventually transatlantic signals! Electric Charge Electic Chage Fom Last Time Two types: plus and minus Foces between chages Like chages epel, opposite chages attact Coulomb s law: foce dops invesely w/ squae of distance Electic Cuent Flow of chages fom

More information

Electrostatics. 3) positive object: lack of electrons negative object: excess of electrons

Electrostatics. 3) positive object: lack of electrons negative object: excess of electrons Electostatics IB 12 1) electic chage: 2 types of electic chage: positive and negative 2) chaging by fiction: tansfe of electons fom one object to anothe 3) positive object: lack of electons negative object:

More information

Physics 107 TUTORIAL ASSIGNMENT #8

Physics 107 TUTORIAL ASSIGNMENT #8 Physics 07 TUTORIAL ASSIGNMENT #8 Cutnell & Johnson, 7 th edition Chapte 8: Poblems 5,, 3, 39, 76 Chapte 9: Poblems 9, 0, 4, 5, 6 Chapte 8 5 Inteactive Solution 8.5 povides a model fo solving this type

More information

Charges, Coulomb s Law, and Electric Fields

Charges, Coulomb s Law, and Electric Fields Q&E -1 Chages, Coulomb s Law, and Electic ields Some expeimental facts: Expeimental fact 1: Electic chage comes in two types, which we call (+) and (). An atom consists of a heavy (+) chaged nucleus suounded

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 6- THE LAW OF GRAVITATION Essential Idea: The Newtonian idea of gavitational foce acting between two spheical bodies and the laws of mechanics

More information

Physics 235 Chapter 5. Chapter 5 Gravitation

Physics 235 Chapter 5. Chapter 5 Gravitation Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus

More information

Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism

Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism Physics 2020, Sping 2005 Lab 5 page 1 of 8 Lab 5. Magnetism PART I: INTRODUCTION TO MAGNETS This week we will begin wok with magnets and the foces that they poduce. By now you ae an expet on setting up

More information

Eventually transatlantic signals! From Last Time. Electromagnetic Waves. The idea of electric fields. The electric field.

Eventually transatlantic signals! From Last Time. Electromagnetic Waves. The idea of electric fields. The electric field. Fom Last Time Electomagnetic waves Chages, cuent and foces: Coulomb s law. Acceleating chages poduce an electomagnetic wave The idea of the electic field. Today Electic fields, magnetic fields, and thei

More information

AP Physics Electric Potential Energy

AP Physics Electric Potential Energy AP Physics lectic Potential negy Review of some vital peviously coveed mateial. The impotance of the ealie concepts will be made clea as we poceed. Wok takes place when a foce acts ove a distance. W F

More information

2. Electrostatics. Dr. Rakhesh Singh Kshetrimayum 8/11/ Electromagnetic Field Theory by R. S. Kshetrimayum

2. Electrostatics. Dr. Rakhesh Singh Kshetrimayum 8/11/ Electromagnetic Field Theory by R. S. Kshetrimayum 2. Electostatics D. Rakhesh Singh Kshetimayum 1 2.1 Intoduction In this chapte, we will study how to find the electostatic fields fo vaious cases? fo symmetic known chage distibution fo un-symmetic known

More information

EM Boundary Value Problems

EM Boundary Value Problems EM Bounday Value Poblems 10/ 9 11/ By Ilekta chistidi & Lee, Seung-Hyun A. Geneal Desciption : Maxwell Equations & Loentz Foce We want to find the equations of motion of chaged paticles. The way to do

More information

Chapter 20 Electrostatics and Coulomb s Law 20.1 Introduction electrostatics Separation of Electric Charge by Rubbing

Chapter 20 Electrostatics and Coulomb s Law 20.1 Introduction electrostatics Separation of Electric Charge by Rubbing I wish to give an account of some investigations which have led to the conclusion that the caies of negative electicity ae bodies, which I have called copuscles, having a mass vey much smalle than that

More information

Look over Chapter 22 sections 1-8 Examples 2, 4, 5, Look over Chapter 16 sections 7-9 examples 6, 7, 8, 9. Things To Know 1/22/2008 PHYS 2212

Look over Chapter 22 sections 1-8 Examples 2, 4, 5, Look over Chapter 16 sections 7-9 examples 6, 7, 8, 9. Things To Know 1/22/2008 PHYS 2212 PHYS 1 Look ove Chapte sections 1-8 xamples, 4, 5, PHYS 111 Look ove Chapte 16 sections 7-9 examples 6, 7, 8, 9 Things To Know 1) What is an lectic field. ) How to calculate the electic field fo a point

More information

(Sample 3) Exam 1 - Physics Patel SPRING 1998 FORM CODE - A (solution key at end of exam)

(Sample 3) Exam 1 - Physics Patel SPRING 1998 FORM CODE - A (solution key at end of exam) (Sample 3) Exam 1 - Physics 202 - Patel SPRING 1998 FORM CODE - A (solution key at end of exam) Be sue to fill in you student numbe and FORM lette (A, B, C) on you answe sheet. If you foget to include

More information

Quantum tunneling: α-decay

Quantum tunneling: α-decay Announcements: Quantum tunneling: α-decay Exam 2 solutions ae posted on CULean Homewok solutions will be posted by 7pm tonight Next weeks homewok will be available by noon tomoow Homewok aveage fo set

More information

Introduction to Nuclear Forces

Introduction to Nuclear Forces Intoduction to Nuclea Foces One of the main poblems of nuclea physics is to find out the natue of nuclea foces. Nuclea foces diffe fom all othe known types of foces. They cannot be of electical oigin since

More information

F 12. = G m m 1 2 F 21 = F 12. = G m 1m 2. Review. Physics 201, Lecture 22. Newton s Law Of Universal Gravitation

F 12. = G m m 1 2 F 21 = F 12. = G m 1m 2. Review. Physics 201, Lecture 22. Newton s Law Of Universal Gravitation Physics 201, Lectue 22 Review Today s Topics n Univesal Gavitation (Chapte 13.1-13.3) n Newton s Law of Univesal Gavitation n Popeties of Gavitational Foce n Planet Obits; Keple s Laws by Newton s Law

More information

PHYS 1444 Section 501 Lecture #7

PHYS 1444 Section 501 Lecture #7 PHYS 1444 Section 51 Lectue #7 Wednesday, Feb. 8, 26 Equi-potential Lines and Sufaces Electic Potential Due to Electic Dipole E detemined fom V Electostatic Potential Enegy of a System of Chages Capacitos

More information

Theme Music: MGMT Electric Feel* Cartoon: Bob Thaves Frank & Ernest

Theme Music: MGMT Electric Feel* Cartoon: Bob Thaves Frank & Ernest Octobe7, 013 Physics 131 Pof. E. F. Redish Theme Music: MGMT Electic Feel* Catoon: Bob Thaves Fank & Enest 1 Foothold ideas: Chage A hidden popety of matte Matte is made up of two kinds of electical matte

More information

Electrostatics. 1. Show does the force between two point charges change if the dielectric constant of the medium in which they are kept increase?

Electrostatics. 1. Show does the force between two point charges change if the dielectric constant of the medium in which they are kept increase? Electostatics 1. Show does the foce between two point chages change if the dielectic constant of the medium in which they ae kept incease? 2. A chaged od P attacts od R whee as P epels anothe chaged od

More information

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented

More information

Physics 11 Chapter 4: Forces and Newton s Laws of Motion. Problem Solving

Physics 11 Chapter 4: Forces and Newton s Laws of Motion. Problem Solving Physics 11 Chapte 4: Foces and Newton s Laws of Motion Thee is nothing eithe good o bad, but thinking makes it so. William Shakespeae It s not what happens to you that detemines how fa you will go in life;

More information

PHYS 1444 Lecture #5

PHYS 1444 Lecture #5 Shot eview Chapte 24 PHYS 1444 Lectue #5 Tuesday June 19, 212 D. Andew Bandt Capacitos and Capacitance 1 Coulom s Law The Fomula QQ Q Q F 1 2 1 2 Fomula 2 2 F k A vecto quantity. Newtons Diection of electic

More information

18.1 Origin of Electricity 18.2 Charged Objects and Electric Force

18.1 Origin of Electricity 18.2 Charged Objects and Electric Force 1 18.1 Oigin of lecticity 18. Chaged Objects and lectic Foce Thee ae two kinds of electic chage: positive and negative. The SI unit of electic chage is the coulomb (C). The magnitude of the chage on an

More information

F(r) = r f (r) 4.8. Central forces The most interesting problems in classical mechanics are about central forces.

F(r) = r f (r) 4.8. Central forces The most interesting problems in classical mechanics are about central forces. 4.8. Cental foces The most inteesting poblems in classical mechanics ae about cental foces. Definition of a cental foce: (i) the diection of the foce F() is paallel o antipaallel to ; in othe wods, fo

More information

Physics Electrostatics: Coulomb s Law

Physics Electrostatics: Coulomb s Law A C U L T Y O E D U C A T I O N Depatment of Cuiculum and Pedagogy Physics Electostatics: Coulomb s Law Science and Mathematics Education Reseach Goup Suppoted by UBC Teaching and Leaning Enhancement und

More information

A new approach in classical electrodynamics to protect principle of causality

A new approach in classical electrodynamics to protect principle of causality A new appoach in classical electodynamics to potect pinciple of causality Biswaanjan Dikshit * Lase and Plasma Technology Division Bhabha Atomic Reseach Cente, Mumbai-400085 INDIA * Coesponding autho E-mail:

More information

Chapter 4. Newton s Laws of Motion. Newton s Law of Motion. Sir Isaac Newton ( ) published in 1687

Chapter 4. Newton s Laws of Motion. Newton s Law of Motion. Sir Isaac Newton ( ) published in 1687 Chapte 4 Newton s Laws of Motion 1 Newton s Law of Motion Si Isaac Newton (1642 1727) published in 1687 2 1 Kinematics vs. Dynamics So fa, we discussed kinematics (chaptes 2 and 3) The discussion, was

More information

Solutions to Problems : Chapter 19 Problems appeared on the end of chapter 19 of the Textbook

Solutions to Problems : Chapter 19 Problems appeared on the end of chapter 19 of the Textbook Solutions to Poblems Chapte 9 Poblems appeae on the en of chapte 9 of the Textbook 8. Pictue the Poblem Two point chages exet an electostatic foce on each othe. Stategy Solve Coulomb s law (equation 9-5)

More information

Objects usually are charged up through the transfer of electrons from one object to the other.

Objects usually are charged up through the transfer of electrons from one object to the other. 1 Pat 1: Electic Foce 1.1: Review of Vectos Review you vectos! You should know how to convet fom pola fom to component fom and vice vesa add and subtact vectos multiply vectos by scalas Find the esultant

More information

Chapter 4. Newton s Laws of Motion

Chapter 4. Newton s Laws of Motion Chapte 4 Newton s Laws of Motion 4.1 Foces and Inteactions A foce is a push o a pull. It is that which causes an object to acceleate. The unit of foce in the metic system is the Newton. Foce is a vecto

More information

anubhavclasses.wordpress.com CBSE Solved Test Papers PHYSICS Class XII Chapter : Electrostatics

anubhavclasses.wordpress.com CBSE Solved Test Papers PHYSICS Class XII Chapter : Electrostatics CBS Solved Test Papes PHYSICS Class XII Chapte : lectostatics CBS TST PAPR-01 CLASS - XII PHYSICS (Unit lectostatics) 1. Show does the foce between two point chages change if the dielectic constant of

More information

Class 2. Lesson 1 Stationary Point Charges and Their Forces. Basic Rules of Electrostatics. Basic Rules of Electrostatics

Class 2. Lesson 1 Stationary Point Charges and Their Forces. Basic Rules of Electrostatics. Basic Rules of Electrostatics Lesson 1 Stationay Point Chages and Thei Foces Class Today we will: lean the basic chaacteistics o the electostatic oce eview the popeties o conductos and insulatos lean what is meant by electostatic induction

More information

UNIT 3:Electrostatics

UNIT 3:Electrostatics The study of electic chages at est, the foces between them and the electic fields associated with them. UNIT 3:lectostatics S7 3. lectic Chages and Consevation of chages The electic chage has the following

More information

Module 9: Electromagnetic Waves-I Lecture 9: Electromagnetic Waves-I

Module 9: Electromagnetic Waves-I Lecture 9: Electromagnetic Waves-I Module 9: Electomagnetic Waves-I Lectue 9: Electomagnetic Waves-I What is light, paticle o wave? Much of ou daily expeience with light, paticulaly the fact that light ays move in staight lines tells us

More information

Physics 2B Chapter 22 Notes - Magnetic Field Spring 2018

Physics 2B Chapter 22 Notes - Magnetic Field Spring 2018 Physics B Chapte Notes - Magnetic Field Sping 018 Magnetic Field fom a Long Staight Cuent-Caying Wie In Chapte 11 we looked at Isaac Newton s Law of Gavitation, which established that a gavitational field

More information

PY208 Matter & Interactions Final Exam S2005

PY208 Matter & Interactions Final Exam S2005 PY Matte & Inteactions Final Exam S2005 Name (pint) Please cicle you lectue section below: 003 (Ramakishnan 11:20 AM) 004 (Clake 1:30 PM) 005 (Chabay 2:35 PM) When you tun in the test, including the fomula

More information

4. Compare the electric force holding the electron in orbit ( r = 0.53

4. Compare the electric force holding the electron in orbit ( r = 0.53 Electostatics WS Electic Foce an Fiel. Calculate the magnitue of the foce between two 3.60-µ C point chages 9.3 cm apat.. How many electons make up a chage of 30.0 µ C? 3. Two chage ust paticles exet a

More information

General Physics (PHY 2140)

General Physics (PHY 2140) Geneal Physics (PHY 140) Intoduction Syllabus and teaching stategy lecticity and Magnetism Popeties of electic chages Insulatos and conductos oulomb s law Lectue: Office Hous: D. Alan A. Sebastian, Physics

More information

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007 School of Electical and Compute Engineeing, Conell Univesity ECE 303: Electomagnetic Fields and Waves Fall 007 Homewok 8 Due on Oct. 19, 007 by 5:00 PM Reading Assignments: i) Review the lectue notes.

More information

Physics Courseware Physics II Electric Field and Force

Physics Courseware Physics II Electric Field and Force Physics Cousewae Physics II lectic iel an oce Coulomb s law, whee k Nm /C test Definition of electic fiel. This is a vecto. test Q lectic fiel fo a point chage. This is a vecto. Poblem.- chage of µc is

More information

Between any two masses, there exists a mutual attractive force.

Between any two masses, there exists a mutual attractive force. YEAR 12 PHYSICS: GRAVITATION PAST EXAM QUESTIONS Name: QUESTION 1 (1995 EXAM) (a) State Newton s Univesal Law of Gavitation in wods Between any two masses, thee exists a mutual attactive foce. This foce

More information

Gaia s Place in Space

Gaia s Place in Space Gaia s Place in Space The impotance of obital positions fo satellites Obits and Lagange Points Satellites can be launched into a numbe of diffeent obits depending on thei objectives and what they ae obseving.

More information

1.1 THE ELECTRIC CHARGE

1.1 THE ELECTRIC CHARGE 1.1 THE ELECTRIC CHARGE - In a dy day, one obseves "light spaks" when a wool pull is taken out o when the finges touch a metallic object. Aound the yea 1600, one classified these effects as electic phenomena.

More information

PHYSICS 151 Notes for Online Lecture #36

PHYSICS 151 Notes for Online Lecture #36 Electomagnetism PHYSICS 151 Notes fo Online Lectue #36 Thee ae fou fundamental foces in natue: 1) gavity ) weak nuclea 3) electomagnetic 4) stong nuclea The latte two opeate within the nucleus of an atom

More information

Interatomic Forces. Overview

Interatomic Forces. Overview Inteatomic Foces Oveview an de Walls (shot ange ~1/ 6, weak ~0.010.1 e) Ionic (long ange, ~1/, stong ~510 e) Metallic (no simple dependence, ~0.1e) Covalent (no simple dependence, diectional,~3 e) Hydogen

More information

Calculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m

Calculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m MTE : Ch 13 5:3-7pm on Oct 31 ltenate Exams: Wed Ch 13 6:3pm-8:pm (people attending the altenate exam will not be allowed to go out of the oom while othes fom pevious exam ae still aound) Thu @ 9:-1:3

More information

AP Physics - Coulomb's Law

AP Physics - Coulomb's Law AP Physics - oulomb's Law We ve leaned that electons have a minus one chage and potons have a positive one chage. This plus and minus one business doesn t wok vey well when we go in and ty to do the old

More information

17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other

17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other Electic Potential Enegy, PE Units: Joules Electic Potential, Units: olts 17.1 Electic Potential Enegy Electic foce is a consevative foce and so we can assign an electic potential enegy (PE) to the system

More information

Magnetic Field. Conference 6. Physics 102 General Physics II

Magnetic Field. Conference 6. Physics 102 General Physics II Physics 102 Confeence 6 Magnetic Field Confeence 6 Physics 102 Geneal Physics II Monday, Mach 3d, 2014 6.1 Quiz Poblem 6.1 Think about the magnetic field associated with an infinite, cuent caying wie.

More information

AST 121S: The origin and evolution of the Universe. Introduction to Mathematical Handout 1

AST 121S: The origin and evolution of the Universe. Introduction to Mathematical Handout 1 Please ead this fist... AST S: The oigin and evolution of the Univese Intoduction to Mathematical Handout This is an unusually long hand-out and one which uses in places mathematics that you may not be

More information

Ch 13 Universal Gravitation

Ch 13 Universal Gravitation Ch 13 Univesal Gavitation Ch 13 Univesal Gavitation Why do celestial objects move the way they do? Keple (1561-1630) Tycho Bahe s assistant, analyzed celestial motion mathematically Galileo (1564-1642)

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 of 10 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage

More information

Galilean Transformation vs E&M y. Historical Perspective. Chapter 2 Lecture 2 PHYS Special Relativity. Sep. 1, y K K O.

Galilean Transformation vs E&M y. Historical Perspective. Chapter 2 Lecture 2 PHYS Special Relativity. Sep. 1, y K K O. PHYS-2402 Chapte 2 Lectue 2 Special Relativity 1. Basic Ideas Sep. 1, 2016 Galilean Tansfomation vs E&M y K O z z y K In 1873, Maxwell fomulated Equations of Electomagnetism. v Maxwell s equations descibe

More information

Scattering in Three Dimensions

Scattering in Three Dimensions Scatteing in Thee Dimensions Scatteing expeiments ae an impotant souce of infomation about quantum systems, anging in enegy fom vey low enegy chemical eactions to the highest possible enegies at the LHC.

More information

CHAPTER 25 ELECTRIC POTENTIAL

CHAPTER 25 ELECTRIC POTENTIAL CHPTE 5 ELECTIC POTENTIL Potential Diffeence and Electic Potential Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic foce on the paticle given by F=E. When

More information

Chapter 22: Electric Fields. 22-1: What is physics? General physics II (22102) Dr. Iyad SAADEDDIN. 22-2: The Electric Field (E)

Chapter 22: Electric Fields. 22-1: What is physics? General physics II (22102) Dr. Iyad SAADEDDIN. 22-2: The Electric Field (E) Geneal physics II (10) D. Iyad D. Iyad Chapte : lectic Fields In this chapte we will cove The lectic Field lectic Field Lines -: The lectic Field () lectic field exists in a egion of space suounding a

More information

Objectives: After finishing this unit you should be able to:

Objectives: After finishing this unit you should be able to: lectic Field 7 Objectives: Afte finishing this unit you should be able to: Define the electic field and explain what detemines its magnitude and diection. Wite and apply fomulas fo the electic field intensity

More information

AP Physics C: Electricity and Magnetism 2001 Scoring Guidelines

AP Physics C: Electricity and Magnetism 2001 Scoring Guidelines AP Physics C: Electicity and Magnetism 1 Scoing Guidelines The mateials included in these files ae intended fo non-commecial use by AP teaches fo couse and exam pepaation; pemission fo any othe use must

More information

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N Chapte answes Heinemann Physics 4e Section. Woked example: Ty youself.. GRAVITATIONAL ATTRACTION BETWEEN SMALL OBJECTS Two bowling balls ae sitting next to each othe on a shelf so that the centes of the

More information

From last times. MTE1 results. Quiz 1. GAUSS LAW for any closed surface. What is the Electric Flux? How to calculate Electric Flux?

From last times. MTE1 results. Quiz 1. GAUSS LAW for any closed surface. What is the Electric Flux? How to calculate Electric Flux? om last times MTE1 esults Mean 75% = 90/120 Electic chages and foce Electic ield and was to calculate it Motion of chages in E-field Gauss Law Toda: Moe on Gauss law and conductos in electostatic equilibium

More information

Electrostatic Potential

Electrostatic Potential Chapte 23 Electostatic Potential PowePoint Lectues fo Univesity Physics, Twelfth Edition Hugh D. Young and Roge A. Feedman Lectues by James Pazun Copyight 2008 Peason Education Inc., publishing as Peason

More information

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature)

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature) a = c v 2 Recap Centipetal acceleation: m/s 2 (towads cente of cuvatue) A centipetal foce F c is equied to keep a body in cicula motion: This foce poduces centipetal acceleation that continuously changes

More information

(r) = 1. Example: Electric Potential Energy. Summary. Potential due to a Group of Point Charges 9/10/12 1 R V(r) + + V(r) kq. Chapter 23.

(r) = 1. Example: Electric Potential Energy. Summary. Potential due to a Group of Point Charges 9/10/12 1 R V(r) + + V(r) kq. Chapter 23. Eample: Electic Potential Enegy What is the change in electical potential enegy of a eleased electon in the atmosphee when the electostatic foce fom the nea Eath s electic field (diected downwad) causes

More information

Hopefully Helpful Hints for Gauss s Law

Hopefully Helpful Hints for Gauss s Law Hopefully Helpful Hints fo Gauss s Law As befoe, thee ae things you need to know about Gauss s Law. In no paticula ode, they ae: a.) In the context of Gauss s Law, at a diffeential level, the electic flux

More information

15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer.

15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer. Kiangsu-Chekiang College (Shatin) F:EasteHolidaysAssignmentAns.doc Easte Holidays Assignment Answe Fom 6B Subject: Physics. (a) State the conditions fo a body to undego simple hamonic motion. ( mak) (a)

More information

PHYS 110B - HW #7 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased

PHYS 110B - HW #7 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased PHYS 0B - HW #7 Sping 2004, Solutions by David Pace Any efeenced euations ae fom Giffiths Poblem statements ae paaphased. Poblem 0.3 fom Giffiths A point chage,, moves in a loop of adius a. At time t 0

More information

Electric Field, Potential Energy, & Voltage

Electric Field, Potential Energy, & Voltage Slide 1 / 66 lectic Field, Potential negy, & oltage Wok Slide 2 / 66 Q+ Q+ The foce changes as chages move towads each othe since the foce depends on the distance between the chages. s these two chages

More information

Determining solar characteristics using planetary data

Determining solar characteristics using planetary data Detemining sola chaacteistics using planetay data Intoduction The Sun is a G-type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this investigation

More information

Physics 111. Ch 12: Gravity. Newton s Universal Gravity. R - hat. the equation. = Gm 1 m 2. F g 2 1. ˆr 2 1. Gravity G =

Physics 111. Ch 12: Gravity. Newton s Universal Gravity. R - hat. the equation. = Gm 1 m 2. F g 2 1. ˆr 2 1. Gravity G = ics Announcements day, embe 9, 004 Ch 1: Gavity Univesal Law Potential Enegy Keple s Laws Ch 15: Fluids density hydostatic equilibium Pascal s Pinciple This week s lab will be anothe physics wokshop -

More information

Chapter 4: The laws of motion. Newton s first law

Chapter 4: The laws of motion. Newton s first law Chapte 4: The laws of motion gavitational Electic magnetic Newton s fist law If the net foce exeted on an object is zeo, the object continues in its oiginal state of motion: - an object at est, emains

More information

Your Comments. Conductors and Insulators with Gauss's law please...so basically everything!

Your Comments. Conductors and Insulators with Gauss's law please...so basically everything! You Comments I feel like I watch a pe-lectue, and agee with eveything said, but feel like it doesn't click until lectue. Conductos and Insulatos with Gauss's law please...so basically eveything! I don't

More information

Algebra-based Physics II

Algebra-based Physics II lgebabased Physics II Chapte 19 Electic potential enegy & The Electic potential Why enegy is stoed in an electic field? How to descibe an field fom enegetic point of view? Class Website: Natual way of

More information

CHAPTER 10 ELECTRIC POTENTIAL AND CAPACITANCE

CHAPTER 10 ELECTRIC POTENTIAL AND CAPACITANCE CHAPTER 0 ELECTRIC POTENTIAL AND CAPACITANCE ELECTRIC POTENTIAL AND CAPACITANCE 7 0. ELECTRIC POTENTIAL ENERGY Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic

More information

Experiment 09: Angular momentum

Experiment 09: Angular momentum Expeiment 09: Angula momentum Goals Investigate consevation of angula momentum and kinetic enegy in otational collisions. Measue and calculate moments of inetia. Measue and calculate non-consevative wok

More information

EM-2. 1 Coulomb s law, electric field, potential field, superposition q. Electric field of a point charge (1)

EM-2. 1 Coulomb s law, electric field, potential field, superposition q. Electric field of a point charge (1) EM- Coulomb s law, electic field, potential field, supeposition q ' Electic field of a point chage ( ') E( ) kq, whee k / 4 () ' Foce of q on a test chage e at position is ee( ) Electic potential O kq

More information

4. Electrodynamic fields

4. Electrodynamic fields 4. Electodynamic fields D. Rakhesh Singh Kshetimayum 1 4.1 Intoduction Electodynamics Faaday s law Maxwell s equations Wave equations Lenz s law Integal fom Diffeential fom Phaso fom Bounday conditions

More information

21 MAGNETIC FORCES AND MAGNETIC FIELDS

21 MAGNETIC FORCES AND MAGNETIC FIELDS CHAPTER 1 MAGNETIC ORCES AND MAGNETIC IELDS ANSWERS TO OCUS ON CONCEPTS QUESTIONS 1. (d) Right-Hand Rule No. 1 gives the diection of the magnetic foce as x fo both dawings A and. In dawing C, the velocity

More information