Electricity & Magnetism Lecture 22. Electricity & Magne/sm Lecture 22, Slide 1

Size: px
Start display at page:

Download "Electricity & Magnetism Lecture 22. Electricity & Magne/sm Lecture 22, Slide 1"

Transcription

1 Electicity & Magnetism Lectue 22 Electicity & Magne/sm Lectue 22, Slide 1

2 You Comments You LIED about electic poten/al being the hadest pat of the couse! Please go though eveything in detail because this is a confusing pelectue and I don't undestand most of it at all. I feel like I don't undestand this well enough to even ask ques/ons about it. LiEle bit shell- shocked ight now. THAT WAS AWESOME!! DISCUSS ALL PLEASE!!!! ALL TRUE We will ty to make clea, at least the BIG IDEAS wave equa/ons, this is my fist /me seeing them (aside fom oscillatos) Text B field looks like the shadow of E field, o the othe way aound Do we have to know how to solve diffeen/al equa/ons o will the poblems be limited to these specific types of examples? We will discuss waves You will not have to solve new diff eqns Moe concened about the midtem. Electicity & Magne/sm Lectue 22, Slide 2

3

4 Ode online.

5 What We Knew Befoe Pelectue 22 Electicity & Magne/sm Lectue 22, Slide 3

6 Afte Pelectue 21: Modify Ampee s Law Electicity & Magne/sm Lectue 22, Slide 4

7 Displacement Cuent Real Cuent: Chage Q passes though aea A in /me t: Displacement Cuent: Electic flux though aea A changes in /me Fee space Electicity & Magne/sm Lectue 22, Slide 5

8 Calculation Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. At /me t 1, what is the magne/c field B 1 at a adius (point d) in between the plates of the capacito? d I 1 R Q 1 Conceptual and Stategic Analysis Chage Q 1 ceates electic field between the plates of C Chage Q 1 changing in /me gives ise to a changing electic flux between the plates Changing electic flux gives ise to a displacement cuent I D in between the plates Apply (modified) Ampee s law using I D to detemine B Electicity & Magne/sm Lectue 22, Slide 6

9 Calculation Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. c d I 1 R Compae the magnitudes of the B fields at points c and d. Q 1 A) B c < B d B) B c = B d C) B c > B d What is the diffeence? Apply (modified) Ampee s Law R point c: I(enclosed) = I 1 X point d: I D (enclosed) < I 1 Electicity & Magne/sm Lectue 22, Slide 7

10 Calculation Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. d E R What is the magnitude of the electic field between the plates? A) B) C) D) I 1 Q 1 Q 1 R Electicity & Magne/sm Lectue 22, Slide 8

11 Calculation Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. d E R What is the electic flux though a cicle of adius in between the plates? A) B) C) D) I 1 Q 1 R E = ~E ~A Electicity & Magne/sm Lectue 22, Slide 9

12 Calculation Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. d I 1 E R What is the displacement cuent enclosed by cicle of adius? A) B) C) D) Q 1 R Electicity & Magne/sm Lectue 22, Slide 10

13 Calculation Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. hat is the magnitude of the B field at adius? I 1 Q 1 d E R I B d = µ 0 (I + I D ) A) B) C) D) I Ampee s Law: R B d = µ 0 (I + I D ) B(2 ) = µ I 1 2 R 2! Electicity & Magne/sm Lectue 22, Slide 11

14 Calculate Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. hat is the magnitude of the B field at adius? I 1 Q 1 d E R I B d = µ 0 (I + I D ) R Let: I1 = 1 A R = 1 m What is B at = 0.5 m? (answe on next page) Electicity & Magne/sm Lectue 22, Slide 11

15 B = 1 x 10 7 T answe

16 CheckPoint B is popo/onal to I but At A, B = 0!! Electicity & Magne/sm Lectue 22, Slide 13

17 CheckPoint 4 A B C Fom the calcula/on we just did: Electicity & Magne/sm Lectue 22, Slide 12

18 Follow-Up Switch S has been open a long /me when at t = 0, it is closed. Capacito C has cicula plates of adius R. At /me t = t 1, a cuent I 1 flows in the cicuit and the capacito caies chage Q 1. What is the /me dependence of the magne/c field B at a adius between the plates of the capacito? (A) (B) (C) B at fixed is popo/onal to the cuent I Close switch: V C = 0 I = V/R a (maximum) I exponen/ally decays with /me constant τ = R a C Electicity & Magne/sm Lectue 22, Slide 14

19 Follow-Up 2 Suppose you wee able to chage a capacito with constant cuent (does not change in /me). Does a B field exist in between the plates of the capacito? A) YES B) NO Constant cuent Q inceases linealy with /me Theefoe E inceases linealy with /me, E = Q/(Aε 0 ) de/dt is not zeo Displacement cuent is not zeo B is not zeo! Electicity & Magne/sm Lectue 22, Slide 15

20 We leaned about waves in Physics 140

21 How can light move at the same velocity in any ine/al fame of efeence? That's eally tippy. see PHYS 285 Electicity & Magne/sm Lectue 22, Slide 17

22 Electicity & Magne/sm Lectue 22, Slide 18

23 Electicity & Magne/sm Lectue 22, Slide 19

24 CheckPoint 6 E x = E 0 sin(kz ωt) E = E 0 sin (kz ωt): E depends only on z coodinate fo constant t. z coodinate is same fo A, B, C Electicity & Magne/sm Lectue 22, Slide 20

25 CheckPoint 7 E x = E 0 sin(kz ωt) E = E 0 sin (kz ωt): E depends only on z coodinate fo constant t. z coodinate is same fo A, B, C Electicity & Magne/sm Lectue 22, Slide 21

26 Clicke Question E x = E 0 sin(kz ωt) Conside a point (x,y,z) at /me t when E x is nega/ve and has its maximum value. At (x,y,z) at /me t, what is B y? A) B y is posi/ve and has its maximum value B) B y is nega/ve and has its maximum value C) B y is zeo D) We do not have enough infoma/on Electicity & Magne/sm Lectue 22, Slide 22

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

Physics 2112 Unit 14

Physics 2112 Unit 14 Physics 2112 Unit 14 Today s Concept: What Causes Magnetic Fields d 0I ds ˆ 2 4 Unit 14, Slide 1 You Comments Can you give a summay fo eveything we use the ight hand ule fo? Wasn't too clea on this topic.

More information

Phys-272 Lecture 17. Motional Electromotive Force (emf) Induced Electric Fields Displacement Currents Maxwell s Equations

Phys-272 Lecture 17. Motional Electromotive Force (emf) Induced Electric Fields Displacement Currents Maxwell s Equations Phys-7 Lectue 17 Motional Electomotive Foce (emf) Induced Electic Fields Displacement Cuents Maxwell s Equations Fom Faaday's Law to Displacement Cuent AC geneato Magnetic Levitation Tain Review of Souces

More information

Conflict Exam Issue. Sorry, Can t do it. Please see Kevin Pitts if you have any additional questions or concerns about this. Office is 231 Loomis

Conflict Exam Issue. Sorry, Can t do it. Please see Kevin Pitts if you have any additional questions or concerns about this. Office is 231 Loomis Conflict Exam Issue. Soy, Can t do it I was told that: Students can only be excused fom the scheduled final fo illness, death in the family o eligious holiday. No exceptions. Please see Kevin Pitts if

More information

Faraday s Law (continued)

Faraday s Law (continued) Faaday s Law (continued) What causes cuent to flow in wie? Answe: an field in the wie. A changing magnetic flux not only causes an MF aound a loop but an induced electic field. Can wite Faaday s Law: ε

More information

Course Updates. Reminders: 1) Assignment #8 will be able to do after today. 2) Finish Chapter 28 today. 3) Quiz next Friday

Course Updates. Reminders: 1) Assignment #8 will be able to do after today. 2) Finish Chapter 28 today. 3) Quiz next Friday Couse Updates http://www.phys.hawaii.edu/~vane/phys272-sp10/physics272.html Remindes: 1) Assignment #8 will be able to do afte today 2) Finish Chapte 28 today 3) Quiz next Fiday 4) Review of 3 ight-hand

More information

Your Comments. Do we still get the 80% back on homework? It doesn't seem to be showing that. Also, this is really starting to make sense to me!

Your Comments. Do we still get the 80% back on homework? It doesn't seem to be showing that. Also, this is really starting to make sense to me! You Comments Do we still get the 8% back on homewok? It doesn't seem to be showing that. Also, this is eally stating to make sense to me! I am a little confused about the diffeences in solid conductos,

More information

? this lecture. ? next lecture. What we have learned so far. a Q E F = q E a. F = q v B a. a Q in motion B. db/dt E. de/dt B.

? this lecture. ? next lecture. What we have learned so far. a Q E F = q E a. F = q v B a. a Q in motion B. db/dt E. de/dt B. PHY 249 Lectue Notes Chapte 32: Page 1 of 12 What we have leaned so fa a a F q a a in motion F q v a a d/ Ae thee othe "static" chages that can make -field? this lectue d/? next lectue da dl Cuve Cuve

More information

Gauss s Law Simulation Activities

Gauss s Law Simulation Activities Gauss s Law Simulation Activities Name: Backgound: The electic field aound a point chage is found by: = kq/ 2 If thee ae multiple chages, the net field at any point is the vecto sum of the fields. Fo a

More information

FARADAY'S LAW. dates : No. of lectures allocated. Actual No. of lectures 3 9/5/09-14 /5/09

FARADAY'S LAW. dates : No. of lectures allocated. Actual No. of lectures 3 9/5/09-14 /5/09 FARADAY'S LAW No. of lectues allocated Actual No. of lectues dates : 3 9/5/09-14 /5/09 31.1 Faaday's Law of Induction In the pevious chapte we leaned that electic cuent poduces agnetic field. Afte this

More information

The Law of Biot-Savart & RHR P θ

The Law of Biot-Savart & RHR P θ The Law of iot-savat & RHR P R dx x Jean-aptiste iot élix Savat Phys 122 Lectue 19 G. Rybka Recall: Potential Enegy of Dipole Wok equied to otate a cuentcaying loop in a magnetic field Potential enegy

More information

2 E. on each of these two surfaces. r r r r. Q E E ε. 2 2 Qencl encl right left 0

2 E. on each of these two surfaces. r r r r. Q E E ε. 2 2 Qencl encl right left 0 Ch : 4, 9,, 9,,, 4, 9,, 4, 8 4 (a) Fom the diagam in the textbook, we see that the flux outwad though the hemispheical suface is the same as the flux inwad though the cicula suface base of the hemisphee

More information

TUTORIAL 9. Static magnetic field

TUTORIAL 9. Static magnetic field TUTOIAL 9 Static magnetic field Vecto magnetic potential Null Identity % & %$ A # Fist postulation # " B such that: Vecto magnetic potential Vecto Poisson s equation The solution is: " Substitute it into

More information

Physics 122, Fall October 2012

Physics 122, Fall October 2012 hsics 1, Fall 1 3 Octobe 1 Toda in hsics 1: finding Foce between paallel cuents Eample calculations of fom the iot- Savat field law Ampèe s Law Eample calculations of fom Ampèe s law Unifom cuents in conductos?

More information

An o5en- confusing point:

An o5en- confusing point: An o5en- confusing point: Recall this example fom last lectue: E due to a unifom spheical suface chage, density = σ. Let s calculate the pessue on the suface. Due to the epulsive foces, thee is an outwad

More information

Faraday s Law. Faraday s Law. Faraday s Experiments. Faraday s Experiments. Magnetic Flux. Chapter 31. Law of Induction (emf( emf) Faraday s Law

Faraday s Law. Faraday s Law. Faraday s Experiments. Faraday s Experiments. Magnetic Flux. Chapter 31. Law of Induction (emf( emf) Faraday s Law Faaday s Law Faaday s Epeiments Chapte 3 Law of nduction (emf( emf) Faaday s Law Magnetic Flu Lenz s Law Geneatos nduced Electic fields Michael Faaday discoeed induction in 83 Moing the magnet induces

More information

A moving charged particle creates a magnetic field vector at every point in space except at its position.

A moving charged particle creates a magnetic field vector at every point in space except at its position. 1 Pat 3: Magnetic Foce 3.1: Magnetic Foce & Field A. Chaged Paticles A moving chaged paticle ceates a magnetic field vecto at evey point in space ecept at its position. Symbol fo Magnetic Field mks units

More information

Flux. Area Vector. Flux of Electric Field. Gauss s Law

Flux. Area Vector. Flux of Electric Field. Gauss s Law Gauss s Law Flux Flux in Physics is used to two distinct ways. The fist meaning is the ate of flow, such as the amount of wate flowing in a ive, i.e. volume pe unit aea pe unit time. O, fo light, it is

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

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

B. Spherical Wave Propagation

B. Spherical Wave Propagation 11/8/007 Spheical Wave Popagation notes 1/1 B. Spheical Wave Popagation Evey antenna launches a spheical wave, thus its powe density educes as a function of 1, whee is the distance fom the antenna. We

More information

Ch 30 - Sources of Magnetic Field! The Biot-Savart Law! = k m. r 2. Example 1! Example 2!

Ch 30 - Sources of Magnetic Field! The Biot-Savart Law! = k m. r 2. Example 1! Example 2! Ch 30 - Souces of Magnetic Field 1.) Example 1 Detemine the magnitude and diection of the magnetic field at the point O in the diagam. (Cuent flows fom top to bottom, adius of cuvatue.) Fo staight segments,

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

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

Physics 122, Fall October 2012

Physics 122, Fall October 2012 Today in Physics 1: electostatics eview David Blaine takes the pactical potion of his electostatics midtem (Gawke). 11 Octobe 01 Physics 1, Fall 01 1 Electostatics As you have pobably noticed, electostatics

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

Kinematics in 2-D (II)

Kinematics in 2-D (II) Kinematics in 2-D (II) Unifom cicula motion Tangential and adial components of Relative velocity and acceleation a Seway and Jewett 4.4 to 4.6 Pactice Poblems: Chapte 4, Objective Questions 5, 11 Chapte

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

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

Physics 122, Fall December 2012

Physics 122, Fall December 2012 Physics 1, Fall 01 6 Decembe 01 Toay in Physics 1: Examples in eview By class vote: Poblem -40: offcente chage cylines Poblem 8-39: B along axis of spinning, chage isk Poblem 30-74: selfinuctance of a

More information

FARADAY'S LAW dt

FARADAY'S LAW dt FAADAY'S LAW 31.1 Faaday's Law of Induction In the peious chapte we leaned that electic cuent poduces agnetic field. Afte this ipotant discoey, scientists wondeed: if electic cuent poduces agnetic field,

More information

$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4!" or. r ˆ = points from source q to observer

$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4! or. r ˆ = points from source q to observer Physics 8.0 Quiz One Equations Fall 006 F = 1 4" o q 1 q = q q ˆ 3 4" o = E 4" o ˆ = points fom souce q to obseve 1 dq E = # ˆ 4" 0 V "## E "d A = Q inside closed suface o d A points fom inside to V =

More information

PHY2061 Enriched Physics 2 Lecture Notes. Gauss Law

PHY2061 Enriched Physics 2 Lecture Notes. Gauss Law PHY61 Eniched Physics Lectue Notes Law Disclaime: These lectue notes ae not meant to eplace the couse textbook. The content may be incomplete. ome topics may be unclea. These notes ae only meant to be

More information

Graphs of Sine and Cosine Functions

Graphs of Sine and Cosine Functions Gaphs of Sine and Cosine Functions In pevious sections, we defined the tigonometic o cicula functions in tems of the movement of a point aound the cicumfeence of a unit cicle, o the angle fomed by the

More information

Magnetic Field of a Wire

Magnetic Field of a Wire Magnetic Field of a Wie Fundamental Laws fo Calculating B-field Biot-Savat Law (long method, but woks always) Ampee s Law (high symmety) B-Field of a Staight Wie Fo a thin staight conducto caying cuent

More information

Physics 313 Practice Test Page 1. University Physics III Practice Test II

Physics 313 Practice Test Page 1. University Physics III Practice Test II Physics 313 Pactice Test Page 1 Univesity Physics III Pactice Test II This pactice test should give you a ough idea of the fomat and oveall level of the Physics 313 exams. The actual exams will have diffeent

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

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

e = 1.60 x 10 ε 0 = 8.85 x C 2 / Nm 2 V i...) F a = m Power =

e = 1.60 x 10 ε 0 = 8.85 x C 2 / Nm 2 V i...) F a = m Power = Equations: 1 1 Constants: q q v v F = k F = qe e = 1.6 x 1-19 C q 1 q 1 9 E = k = k = = 9 1 Nm / C 4πε 4 πε Φ = E da Φ V Total v v q = E da = = V f V i = W q enclosed ε = E ds U e V = q q V V V V = k E

More information

Exam 3, vers Physics Spring, 2003

Exam 3, vers Physics Spring, 2003 1 of 9 Exam 3, ves. 0001 - Physics 1120 - Sping, 2003 NAME Signatue Student ID # TA s Name(Cicle one): Michael Scheffestein, Chis Kelle, Paisa Seelungsawat Stating time of you Tues ecitation (wite time

More information

Gauss s Law: Circuits

Gauss s Law: Circuits Gauss s Law: Cicuits Can we have excess chage inside in steady state? E suface nˆ A q inside E nˆ A E nˆ A left _ suface ight _ suface q inside 1 Gauss s Law: Junction Between two Wies n 2

More information

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures?

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures? AP Physics 1 Lesson 9.a Unifom Cicula Motion Outcomes 1. Define unifom cicula motion. 2. Detemine the tangential velocity of an object moving with unifom cicula motion. 3. Detemine the centipetal acceleation

More information

ev dm e evd 2 m e 1 2 ev2 B) e 2 0 dm e D) m e

ev dm e evd 2 m e 1 2 ev2 B) e 2 0 dm e D) m e . A paallel-plate capacito has sepaation d. The potential diffeence between the plates is V. If an electon with chage e and mass m e is eleased fom est fom the negative plate, its speed when it eaches

More information

AP Physics C: Electricity and Magnetism 2003 Scoring Guidelines

AP Physics C: Electricity and Magnetism 2003 Scoring Guidelines AP Physics C: Electicity and Magnetism 3 Scoing Guidelines The mateials included in these files ae intended fo use by AP teaches fo couse and exam pepaation; pemission fo any othe use must be sought fom

More information

Continuous Charge Distributions: Electric Field and Electric Flux

Continuous Charge Distributions: Electric Field and Electric Flux 8/30/16 Quiz 2 8/25/16 A positive test chage qo is eleased fom est at a distance away fom a chage of Q and a distance 2 away fom a chage of 2Q. How will the test chage move immediately afte being eleased?

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.07: Electromagnetism II September 15, 2012 Prof. Alan Guth PROBLEM SET 2

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.07: Electromagnetism II September 15, 2012 Prof. Alan Guth PROBLEM SET 2 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Depatment Physics 8.07: Electomagnetism II Septembe 5, 202 Pof. Alan Guth PROBLEM SET 2 DUE DATE: Monday, Septembe 24, 202. Eithe hand it in at the lectue,

More information

Review: Electrostatics and Magnetostatics

Review: Electrostatics and Magnetostatics Review: Electostatics and Magnetostatics In the static egime, electomagnetic quantities do not vay as a function of time. We have two main cases: ELECTROSTATICS The electic chages do not change postion

More information

Phys-272 Lecture 18. Mutual Inductance Self-Inductance R-L Circuits

Phys-272 Lecture 18. Mutual Inductance Self-Inductance R-L Circuits Phys-7 ectue 8 Mutual nductance Self-nductance - Cicuits Mutual nductance f we have a constant cuent i in coil, a constant magnetic field is ceated and this poduces a constant magnetic flux in coil. Since

More information

OSCILLATIONS AND GRAVITATION

OSCILLATIONS AND GRAVITATION 1. SIMPLE HARMONIC MOTION Simple hamonic motion is any motion that is equivalent to a single component of unifom cicula motion. In this situation the velocity is always geatest in the middle of the motion,

More information

Review Exercise Set 16

Review Exercise Set 16 Review Execise Set 16 Execise 1: A ectangula plot of famland will be bounded on one side by a ive and on the othe thee sides by a fence. If the fame only has 600 feet of fence, what is the lagest aea that

More information

B da = 0. Q E da = ε. E da = E dv

B da = 0. Q E da = ε. E da = E dv lectomagnetic Theo Pof Ruiz, UNC Asheville, doctophs on YouTube Chapte Notes The Maxwell quations in Diffeential Fom 1 The Maxwell quations in Diffeential Fom We will now tansfom the integal fom of the

More information

MAGNETIC FIELD INTRODUCTION

MAGNETIC FIELD INTRODUCTION MAGNETIC FIELD INTRODUCTION It was found when a magnet suspended fom its cente, it tends to line itself up in a noth-south diection (the compass needle). The noth end is called the Noth Pole (N-pole),

More information

Magnetic Fields Due to Currents

Magnetic Fields Due to Currents PH -C Fall 1 Magnetic Fields Due to Cuents Lectue 14 Chapte 9 (Halliday/esnick/Walke, Fundamentals of Physics 8 th edition) 1 Chapte 9 Magnetic Fields Due to Cuents In this chapte we will exploe the elationship

More information

Current, Resistance and

Current, Resistance and Cuent, Resistance and Electomotive Foce Chapte 25 Octobe 2, 2012 Octobe 2, 2012 Physics 208 1 Leaning Goals The meaning of electic cuent, and how chages move in a conducto. What is meant by esistivity

More information

Phys 1215, First Test. September 20, minutes Name:

Phys 1215, First Test. September 20, minutes Name: Phys 115, Fist Test. Septembe 0, 011 50 minutes Name: Show all wok fo maximum cedit. Each poblem is woth 10 points. k =.0 x 10 N m / C ε 0 = 8.85 x 10-1 C / N m e = 1.60 x 10-1 C ρ = 1.68 x 10-8 Ω m fo

More information

Physics 161 Fall 2011 Extra Credit 2 Investigating Black Holes - Solutions The Following is Worth 50 Points!!!

Physics 161 Fall 2011 Extra Credit 2 Investigating Black Holes - Solutions The Following is Worth 50 Points!!! Physics 161 Fall 011 Exta Cedit Investigating Black Holes - olutions The Following is Woth 50 Points!!! This exta cedit assignment will investigate vaious popeties of black holes that we didn t have time

More information

Phys 222 Sp 2009 Exam 1, Wed 18 Feb, 8-9:30pm Closed Book, Calculators allowed Each question is worth one point, answer all questions

Phys 222 Sp 2009 Exam 1, Wed 18 Feb, 8-9:30pm Closed Book, Calculators allowed Each question is worth one point, answer all questions Phys Sp 9 Exam, Wed 8 Feb, 8-9:3pm Closed Book, Calculatos allowed Each question is woth one point, answe all questions Fill in you Last Name, Middle initial, Fist Name You ID is the middle 9 digits on

More information

Magnetic Dipoles Challenge Problem Solutions

Magnetic Dipoles Challenge Problem Solutions Magnetic Dipoles Challenge Poblem Solutions Poblem 1: Cicle the coect answe. Conside a tiangula loop of wie with sides a and b. The loop caies a cuent I in the diection shown, and is placed in a unifom

More information

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak Designing a Sine-Coil fo Measuement of Plasma Displacements in IR-T Tokamak Pejman Khoshid, M. Razavi, M. Ghoanneviss, M. Molaii, A. TalebiTahe, R. Avin, S. Mohammadi and A. NikMohammadi Dept. of Physics,

More information

Today s Plan. Electric Dipoles. More on Gauss Law. Comment on PDF copies of Lectures. Final iclicker roll-call

Today s Plan. Electric Dipoles. More on Gauss Law. Comment on PDF copies of Lectures. Final iclicker roll-call Today s Plan lectic Dipoles Moe on Gauss Law Comment on PDF copies of Lectues Final iclicke oll-call lectic Dipoles A positive (q) and negative chage (-q) sepaated by a small distance d. lectic dipole

More information

Electromagnetism Physics 15b

Electromagnetism Physics 15b lectomagnetism Physics 15b Lectue #20 Dielectics lectic Dipoles Pucell 10.1 10.6 What We Did Last Time Plane wave solutions of Maxwell s equations = 0 sin(k ωt) B = B 0 sin(k ωt) ω = kc, 0 = B, 0 ˆk =

More information

Magnetic fields (origins) CHAPTER 27 SOURCES OF MAGNETIC FIELD. Permanent magnets. Electric currents. Magnetic field due to a moving charge.

Magnetic fields (origins) CHAPTER 27 SOURCES OF MAGNETIC FIELD. Permanent magnets. Electric currents. Magnetic field due to a moving charge. Magnetic fields (oigins) CHAPTER 27 SOURCES OF MAGNETC FELD Magnetic field due to a moving chage. Electic cuents Pemanent magnets Magnetic field due to electic cuents Staight wies Cicula coil Solenoid

More information

1 2 U CV. K dq I dt J nqv d J V IR P VI

1 2 U CV. K dq I dt J nqv d J V IR P VI o 5 o T C T F 9 T K T o C 7.5 L L T V VT Q mct nct Q F V ml F V dq A H k TH TC dt L pv nt Kt nt CV ideal monatomic gas 5 CV ideal diatomic gas w/o vibation V W pdv V U Q W W Q e Q Q e Canot H C T T S C

More information

FI 2201 Electromagnetism

FI 2201 Electromagnetism FI 2201 Electomagnetism Alexande A. Iskanda, Ph.D. Physics of Magnetism and Photonics Reseach Goup Electodynamics ELETROMOTIVE FORE AND FARADAY S LAW 1 Ohm s Law To make a cuent flow, we have to push the

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

The physics of induction stoves

The physics of induction stoves The physics of uction stoves This is an aticle fom my home page: www.olewitthansen.dk Contents 1. What is an uction stove...1. Including self-uctance...4 3. The contibution fom the magnetic moments...6

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 NYB problem set 5 solution

Physics NYB problem set 5 solution Physics NY poblem set 5 solutions 1 Physics NY poblem set 5 solution Hello eveybody, this is ED. Hi ED! ED is useful fo dawing the ight hand ule when you don t know how to daw. When you have a coss poduct

More information

Related Rates - the Basics

Related Rates - the Basics Related Rates - the Basics In this section we exploe the way we can use deivatives to find the velocity at which things ae changing ove time. Up to now we have been finding the deivative to compae the

More information

Physics 2212 GH Quiz #2 Solutions Spring 2016

Physics 2212 GH Quiz #2 Solutions Spring 2016 Physics 2212 GH Quiz #2 Solutions Sping 216 I. 17 points) Thee point chages, each caying a chage Q = +6. nc, ae placed on an equilateal tiangle of side length = 3. mm. An additional point chage, caying

More information

Chapter 2: Introduction to Implicit Equations

Chapter 2: Introduction to Implicit Equations Habeman MTH 11 Section V: Paametic and Implicit Equations Chapte : Intoduction to Implicit Equations When we descibe cuves on the coodinate plane with algebaic equations, we can define the elationship

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

16.1 Permanent magnets

16.1 Permanent magnets Unit 16 Magnetism 161 Pemanent magnets 16 The magnetic foce on moving chage 163 The motion of chaged paticles in a magnetic field 164 The magnetic foce exeted on a cuent-caying wie 165 Cuent loops and

More information

Phys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1

Phys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1 Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the

More information

Physics 506 Winter 2006 Homework Assignment #9 Solutions

Physics 506 Winter 2006 Homework Assignment #9 Solutions Physics 506 Winte 2006 Homewok Assignment #9 Solutions Textbook poblems: Ch. 12: 12.2, 12.9, 12.13, 12.14 12.2 a) Show fom Hamilton s pinciple that Lagangians that diffe only by a total time deivative

More information

When a mass moves because of a force, we can define several types of problem.

When a mass moves because of a force, we can define several types of problem. Mechanics Lectue 4 3D Foces, gadient opeato, momentum 3D Foces When a mass moves because of a foce, we can define seveal types of poblem. ) When we know the foce F as a function of time t, F=F(t). ) When

More information

( ) Make-up Tests. From Last Time. Electric Field Flux. o The Electric Field Flux through a bit of area is

( ) Make-up Tests. From Last Time. Electric Field Flux. o The Electric Field Flux through a bit of area is Mon., 3/23 Wed., 3/25 Thus., 3/26 Fi., 3/27 Mon., 3/30 Tues., 3/31 21.4-6 Using Gauss s & nto to Ampee s 21.7-9 Maxwell s, Gauss s, and Ampee s Quiz Ch 21, Lab 9 Ampee s Law (wite up) 22.1-2,10 nto to

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

PHYSICS 151 Notes for Online Lecture #20

PHYSICS 151 Notes for Online Lecture #20 PHYSICS 151 Notes fo Online Lectue #20 Toque: The whole eason that we want to woy about centes of mass is that we ae limited to looking at point masses unless we know how to deal with otations. Let s evisit

More information

( ) ( )( ) ˆ. Homework #8. Chapter 27 Magnetic Fields II.

( ) ( )( ) ˆ. Homework #8. Chapter 27 Magnetic Fields II. Homewok #8. hapte 7 Magnetic ields. 6 Eplain how ou would modif Gauss s law if scientists discoveed that single, isolated magnetic poles actuall eisted. Detemine the oncept Gauss law fo magnetism now eads

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

Motion in Two Dimensions

Motion in Two Dimensions SOLUTIONS TO PROBLEMS Motion in Two Dimensions Section 3.1 The Position, Velocity, and Acceleation Vectos P3.1 x( m) 0!3 000!1 70!4 70 m y( m)!3 600 0 1 70! 330 m (a) Net displacement x + y 4.87 km at

More information

Electricity & Magnetism Lecture 10: Kirchhoff s Rules

Electricity & Magnetism Lecture 10: Kirchhoff s Rules Electricity & Magnetism Lecture 10: Kirchhoff s Rules Today s Concept: Kirchhoff s Rules Electricity & Magne

More information

arxiv: v1 [physics.pop-ph] 3 Jun 2013

arxiv: v1 [physics.pop-ph] 3 Jun 2013 A note on the electostatic enegy of two point chages axiv:1306.0401v1 [physics.pop-ph] 3 Jun 013 A C Tot Instituto de Física Univesidade Fedeal do io de Janeio Caixa Postal 68.58; CEP 1941-97 io de Janeio,

More information

Physics 181. Assignment 4

Physics 181. Assignment 4 Physics 181 Assignment 4 Solutions 1. A sphee has within it a gavitational field given by g = g, whee g is constant and is the position vecto of the field point elative to the cente of the sphee. This

More information

r cos, and y r sin with the origin of coordinate system located at

r cos, and y r sin with the origin of coordinate system located at Lectue 3-3 Kinematics of Rotation Duing ou peious lectues we hae consideed diffeent examples of motion in one and seeal dimensions. But in each case the moing object was consideed as a paticle-like object,

More information

Review for 2 nd Midterm

Review for 2 nd Midterm Review fo 2 nd Midtem Midtem-2! Wednesday Octobe 29 at 6pm Section 1 N100 BCC (Business College) Section 2 158 NR (Natual Resouces) Allowed one sheet of notes (both sides) and calculato Coves Chaptes 27-31

More information

Page 1 of 6 Physics II Exam 1 155 points Name Discussion day/time Pat I. Questions 110. 8 points each. Multiple choice: Fo full cedit, cicle only the coect answe. Fo half cedit, cicle the coect answe and

More information

PHYS 2135 Exam I February 13, 2018

PHYS 2135 Exam I February 13, 2018 Exam Total /200 PHYS 2135 Exam I Febuay 13, 2018 Name: Recitation Section: Five multiple choice questions, 8 points each Choose the best o most nealy coect answe Fo questions 6-9, solutions must begin

More information

Waves and Polarization in General

Waves and Polarization in General Waves and Polaization in Geneal Wave means a distubance in a medium that tavels. Fo light, the medium is the electomagnetic field, which can exist in vacuum. The tavel pat defines a diection. The distubance

More information

Lecture 1a: Satellite Orbits

Lecture 1a: Satellite Orbits Lectue 1a: Satellite Obits Outline 1. Newton s Laws of Mo3on 2. Newton s Law of Univesal Gavita3on 3. Calcula3ng satellite obital paametes (assuming cicula mo3on) Scala & Vectos Scala: a physical quan3ty

More information

MTE2 Wed 26, at 5:30-7:00 pm Ch2103 and SH 180. Contents of MTE2. Study chapters (no 32.6, 32.10, no 32.8 forces between wires)

MTE2 Wed 26, at 5:30-7:00 pm Ch2103 and SH 180. Contents of MTE2. Study chapters (no 32.6, 32.10, no 32.8 forces between wires) MTE Wed 6, at 5:30-7:00 pm Ch03 and SH 80 Contents of MTE Wok of the electic foce and potential enegy Electic Potential and ield Capacitos and capacitance Cuent and esistance, Ohm s la DC Cicuits and Kichoff

More information

Module 21: Faraday s Law of Induction 1 Table of Contents

Module 21: Faraday s Law of Induction 1 Table of Contents Module 21: Faaday s Law of Induction 1 Table of Contents 10.1 Faaday s Law of Induction... 10-2 10.1.1 Magnetic Flux... 10-3 10.1.2 Lenz s Law... 10-5 1 10.2 Motional EMF... 10-7 10.3 Induced Electic Field...

More information

KIRCHHOFF CURRENT LAW

KIRCHHOFF CURRENT LAW KICHHOFF CUENT LAW ONE OF THE FUNDAMENTAL CONSEATION PINCIPLES IN ELECTICAL ENGINEEING CHAGE CANNOT BE CEATED NO DESTOYED NODES, BANCHES, LOOPS A NODE CONNECTS SEEAL COMPONENTS. BUT IT DOES NOT HOLD ANY

More information

University of Illinois at Chicago Department of Physics. Electricity & Magnetism Qualifying Examination

University of Illinois at Chicago Department of Physics. Electricity & Magnetism Qualifying Examination E&M poblems Univesity of Illinois at Chicago Depatment of Physics Electicity & Magnetism Qualifying Examination Januay 3, 6 9. am : pm Full cedit can be achieved fom completely coect answes to 4 questions.

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

3.6 Applied Optimization

3.6 Applied Optimization .6 Applied Optimization Section.6 Notes Page In this section we will be looking at wod poblems whee it asks us to maimize o minimize something. Fo all the poblems in this section you will be taking the

More information

Exam 1. Exam 1 is on Tuesday, February 14, from 5:00-6:00 PM.

Exam 1. Exam 1 is on Tuesday, February 14, from 5:00-6:00 PM. Exam 1 Exam 1 is on Tuesday, Febuay 14, fom 5:00-6:00 PM. Testing Cente povides accommodations fo students with special needs I must set up appointments one week befoe exam Deadline fo submitting accommodation

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

AP Centripetal Acceleration Lab

AP Centripetal Acceleration Lab AP PHYSICS NAME: PERIOD: DATE: GRADE: DEVIL PHYSICS BADDEST CLASS ON CAMPUS AP Centipetal Acceleation Lab Note: Data collection will be done by table goups. Data analysis is to be done individually. Copying

More information