# Electrodynamics Exam 3 and Final Exam Sample Exam Problems Dr. Colton, Fall 2016

Size: px
Start display at page:

Download "Electrodynamics Exam 3 and Final Exam Sample Exam Problems Dr. Colton, Fall 2016"

Transcription

1 Electrodynamics Exam 3 and Final Exam Sample Exam Problems Dr. Colton, Fall 016 Multiple choice conceptual questions 1. An infinitely long, straight wire carrying current passes through the center of a circular loop of wire carrying current, as shown above. The long wire is perpendicular to the plane of the loop. Which of the following describes the magnetic force on the loop? (a) Outward, along a radius of the loop. (b) Inward. Along a radius of the loop. (c) Upward, along the axis of the loop. (d) Downward, along the axis of the loop. (e) There is no magnetic force on the loop.. Two long, identical bar magnets are placed under a horizontal piece of paper, as shown in the figure. The paper is covered with iron filings. When the two north poles are a small distance apart and touching the paper, the iron filings move into a pattern that shows the magnetic field lines. Which of the following best illustrates the pattern that results? a. b. c. d. e. 3. What is true about the Biot-Savart Law? (a) It shows that the enclosed magnetic field is proportional to the enclosed electric current. (b) It shows that the net magnetic flux out of any closed surface is zero. (c) It shows how a magnetic field will interact with an electric circuit to produce an EMF. (d) It shows how magnetic fields are generated from steady currents. (e) It show how an E-field is found from the displacement current. 1

2 4. Which of the following is not a source of magnetic fields? (a) A DC current in a wire (b) A permanent magnet (c) A charged disk rotating at uniform speed (d) A time varying electric field (e) None of the above (all are sources of magnetic fields) 5. The work done on a charged particle by a magnetic field is (a) Always positive (b) Always negative (c) Zero (d) Not defined 6. A proton (positive charge) is released from rest in uniform E and B fields. E points towards the top of the page, B points into the page. Which of the paths will the proton initially follow? 7. A wire makes a 90 bend as shown. The current flows to the left, then downwards. What is the magnitude of the magnetic field created by the wire, at the point shown a distance s above the bend? (a) μ 0 I/(πs) (b) μ 0 I/(πs) (c) μ 0 I/(4πs) (d) μ 0 I/(8πs) (e) None of the above 8. A wire loop in a B field has a current I. The magnetic field is localized; it only exists in the hatched region, and is essentially zero everywhere else. Which way must I be flowing to hold the mass in place as shown (gravity points down)? (a) Clockwise (b) Counter-clockwise (c) You cannot levitate a mass like this

3 9. The vector potential A due to a long straight wire with current I along the z-axis, will be in which direction? (Assume Coulomb gauge, and don t worry about the sign.) (a) (b) (c) 10. A sheet of current with surface current density K in the y-direction as shown serves as a boundary between two regions of space. If just to the RIGHT of the sheet, in what direction will B be just to the LEFT of the sheet? (The magnetic fields are not solely due to the sheet itself; they are produced in part by additional currents not shown.) (a) +x (b) x (c) +z (d) -z (e) +y (f) y (g) None of the above 3

4 Problems Note In a few of the problems below, you need to know the following integral: dx 1 x 3 a x a a x 1. Find the magnetic field at the if a current, I, flows in the directions indicated by the arrows (the is right in the middle of the l segment) l l l. A loop of wire is formed into the shape of a rectangle with sides of length a and b (a > b). Find the magnetic field (both magnitude and direction) at the center of the rectangle if the wire carries a current I that flows in the counterclockwise direction. 3. A current flows counterclockwise in a square loop of side length a that lies flat in the plane of this page. Determine the magnetic field at a point a distance L to the right of the center of the loop where L > a. 4. A loop of wire is formed into the shape of a circle of radius R lying in the x y plane, and carries a current I that flows in the counterclockwise direction when viewed from above. Find the magnetic field (both magnitude and direction) as a function of x and y for an arbitrary point in the x-y plane, for distances far away from the loop, x y R. z x y 5. An infinitely long, thick cylindrical shell of inner radius a and outer radius b carries a current given by the current density, J = k/s z-hat. Find B everywhere due to this current. 4

5 b 6. An infinitely long, thick cylindrical shell of inner radius a and outer radius b carries a current given by the combined effects of a volume current density, J = k1 s z-hat and a surface current density located at s=b: K = kb z-hat. (There is no current inside s=a.) Find B everywhere due to these current densities. J K a 7. A circular torus of radius a is wound tightly with N loops of wire each carrying a current I. Find the magnetic field at the center of the torus s cross section (the point marked ). a 8. An infinitely long cylinder of radius R has a magnetization of M = k/s z-hat. Find the magnetic field everywhere due to this cylinder (a) via bound currents and Ampere s law for B, and (b) via Ampere s law for H. M 5

7 17. What s the current through the V battery? Which direction is it flowing? 18. For this resistor network, (a) name two resistors that are in series, and (b) two that are in parallel. 19. For this circuit, V b (t) = 1 for t < 0, and e -t/10 for t>0. (I.e. the battery starts shutting off at t = 0, but takes some time to shut off completely.) Find the voltage of the capacitor as a function of time. 0. What is the complex impedance of this circuit? (No need to simplify very much.) 7

8 1. The complex impedance of the box is Zbox = i (-10000/ω + 10ω) in standard units. What is Vout / Vin for a frequency of 100 Hz? (The circuit uses shorthand notation, where an AV voltage is connecting between in and the ground symbol, and the output voltage is connecting between out and the ground symbol.) Note: the next three problems all involve the displacement current, and are hence not applicable for exam 3 but could be representative of final exam problems from Chapter 7.. A parallel plate capacitor of two circular plates of area A has vacuum between the plates. This capacitor is connected to a battery of constant voltage, V0. The plates are then slowly oscillated so that the distance between them is given by d = d0 + d1sint. Find H between the plates due to the displacement current. 3. A parallel plate capacitor of two circular plates of area A has a dielectric with permittivity between the plates. This capacitor is connected to a battery of constant voltage V0. The plates are slowly oscillating so that the distance between them is given by d = d0 + d1sint. Find H between the plates due to the displacement current. 4. The following fields exist in a region of vacuum where 0 < x < a, E y 0aH0 x sin sinkz wt a kah 0 x sin sinkz wt a x H z H 0 cos coskz wt a H x All other components are zero. Find the free charge density, free current density, and the displacement current in this region. H0, a, k, and are constants and 00 = k + /a. (Hint: Use the differential form of Maxwell's Equations.) 8

9 Answers (let me know if you detect any errors) Multiple choice 1. E. B 3. D 4. E 5. C 6. C 7. C 8. A 9. A 10. G Worked problems 1. B I 0 l into the page 0I 1 a b. B a b b a out of the page I 1 a L a 1 B IR B 4 x y L a L a a L a a L a a L a a 3 0 zˆ a out of the page. 5. B 0k ln( s / a) 0 for s<a; B ˆ s for a<s<b; B 0k ln( b / a) ˆ for s>b s 6. B 0k for s<a; B s a ˆ 4s 0NI 7. B ˆ a k s for a<s<b; b a k b B ˆ for s>b k 8. B 0 zˆ s for s<r; B 0 for s>r (the same answers using either method) 9

10 B 0k for s<a; B ˆ s B 0 for s<a; B ks zˆ 0 for a<s<b; B 0 for a<s<b; B 0 for s>b for s>b (the same answers using either method) k 11. B 0 zˆ s for s<r; B 0 for s>r 1. 0(1 m) NI B ˆ inside, B = 0 outside s 13. I k located at the origin (middle of the cylinder), in the z-hat direction; m = 1; it s diamagnetic (but actually, I don t think diamagnetic materials with such a large m exist). 14. m 4 3 k ; B ˆ 0s inside k 4 B m ˆ ni z V R fbsinft ma up 18. R7, R8 are in series; R1, R are in parallel 19. Vc = e -t/ e -t/10\ 0. R1 i/(c1) + (1/R + ic i/(l)) Final exam only problems. H 0 V 0d d d 0 1 s cos( t ) ˆ sin( ) t 1 3. same as the last problem, but with 0 replaced by 4. free = 0; J 00 ah 0 x free 0; J d sin coskz wtyˆ a 10

### Physics 2B Winter 2012 Final Exam Practice

Physics 2B Winter 2012 Final Exam Practice 1) When the distance between two charges is increased, the force between the charges A) increases directly with the square of the distance. B) increases directly

### Physics 2220 Fall 2010 George Williams THIRD MIDTERM - REVIEW PROBLEMS

Physics 2220 Fall 2010 George Williams THIRD MIDTERM - REVIEW PROBLEMS Solution sets are available on the course web site. A data sheet is provided. Problems marked by "*" do not have solutions. 1. An

### ELECTRO MAGNETIC FIELDS

SET - 1 1. a) State and explain Gauss law in differential form and also list the limitations of Guess law. b) A square sheet defined by -2 x 2m, -2 y 2m lies in the = -2m plane. The charge density on the

### Calculus Relationships in AP Physics C: Electricity and Magnetism

C: Electricity This chapter focuses on some of the quantitative skills that are important in your C: Mechanics course. These are not all of the skills that you will learn, practice, and apply during the

### PRACTICE EXAM 1 for Midterm 2

PRACTICE EXAM 1 for Midterm 2 Multiple Choice Questions 1) The figure shows three identical lightbulbs connected to a battery having a constant voltage across its terminals. What happens to the brightness

### Your name: Your TA: Your section Day/Time: PHY 101 Practice in-class exam III Wednesday, November 28, 3:15-3:35PM

1 Your name: Your TA: Your section Day/Time: PHY 101 Practice in-class exam III Wednesday, November 28, 3:15-3:35PM Please be sure to show your work where it is requested. If no work is shown where it

### A) I B) II C) III D) IV E) V

1. A square loop of wire moves with a constant speed v from a field-free region into a region of uniform B field, as shown. Which of the five graphs correctly shows the induced current i in the loop as

### ECE 3209 Electromagnetic Fields Final Exam Example. University of Virginia Solutions

ECE 3209 Electromagnetic Fields Final Exam Example University of Virginia Solutions (print name above) This exam is closed book and closed notes. Please perform all work on the exam sheets in a neat and

### Physics 202, Lecture 13. Today s Topics. Magnetic Forces: Hall Effect (Ch. 27.8)

Physics 202, Lecture 13 Today s Topics Magnetic Forces: Hall Effect (Ch. 27.8) Sources of the Magnetic Field (Ch. 28) B field of infinite wire Force between parallel wires Biot-Savart Law Examples: ring,

### cancel each other out. Thus, we only need to consider magnetic field produced by wire carrying current 2.

PC1143 2011/2012 Exam Solutions Question 1 a) Assumption: shells are conductors. Notes: the system given is a capacitor. Make use of spherical symmetry. Energy density, =. in this case means electric field

### Louisiana State University Physics 2102, Exam 3, November 11, 2010.

Name: Instructor: Louisiana State University Physics 2102, Exam 3, November 11, 2010. Please be sure to write your name and class instructor above. The test consists of 3 questions (multiple choice), and

### AP Physics C. Magnetism - Term 4

AP Physics C Magnetism - Term 4 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the world

### MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2013 Exam 3 Equation Sheet. closed fixed path. ! = I ind.

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.0 Spring 013 Exam 3 Equation Sheet Force Law: F q = q( E ext + v q B ext ) Force on Current Carrying Wire: F = Id s " B # wire ext Magnetic

### Physics 1308 Exam 2 Summer 2015

Physics 1308 Exam 2 Summer 2015 E2-01 2. The direction of the magnetic field in a certain region of space is determined by firing a test charge into the region with its velocity in various directions in

### Mansfield Independent School District AP Physics C: Electricity and Magnetism Year at a Glance

Mansfield Independent School District AP Physics C: Electricity and Magnetism Year at a Glance First Six-Weeks Second Six-Weeks Third Six-Weeks Lab safety Lab practices and ethical practices Math and Calculus

### Exam 2 Fall 2014

1 95.144 Exam 2 Fall 2014 Section instructor Section number Last/First name Last 3 Digits of Student ID Number: Show all work. Show all formulas used for each problem prior to substitution of numbers.

### AP Physics C. Electricity - Term 3

AP Physics C Electricity - Term 3 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the

### Physics 42 Exam 3 Spring 2016 Name: M T W

Physics 42 Exam 3 Spring 2016 Name: M T W Conceptual Questions & Shorty (2 points each) 1. Which magnetic field causes the observed force? 2. If released from rest, the current loop will move a. upward

### 2) A linear charge distribution extends along the x axis from 0 to A (where A > 0). In that region, the charge density λ is given by λ = cx where c

2) A linear charge distribution extends along the x axis from 0 to A (where A > 0). In that region, the charge density λ is given by λ = cx where c is a constant. a) Find the electric potential valid for

### (D) Blv/R Counterclockwise

1. There is a counterclockwise current I in a circular loop of wire situated in an external magnetic field directed out of the page as shown above. The effect of the forces that act on this current is

### PHY 131 Review Session Fall 2015 PART 1:

PHY 131 Review Session Fall 2015 PART 1: 1. Consider the electric field from a point charge. As you move farther away from the point charge, the electric field decreases at a rate of 1/r 2 with r being

### Physics 208, Spring 2016 Exam #3

Physics 208, Spring 206 Exam #3 A Name (Last, First): ID #: Section #: You have 75 minutes to complete the exam. Formulae are provided on an attached sheet. You may NOT use any other formula sheet. You

### Physics 1308 Exam 2 Summer Instructions

Name: Date: Instructions All Students at SMU are under the jurisdiction of the Honor Code, which you have already signed a pledge to uphold upon entering the University. For this particular exam, you may

### Chapter 12. Magnetism and Electromagnetism

Chapter 12 Magnetism and Electromagnetism 167 168 AP Physics Multiple Choice Practice Magnetism and Electromagnetism SECTION A Magnetostatics 1. Four infinitely long wires are arranged as shown in the

### March 11. Physics 272. Spring Prof. Philip von Doetinchem

Physics 272 March 11 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272 - Spring 14 - von Doetinchem - 32 Summary Magnetic

### PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism)

PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism) NAME: August 2009---------------------------------------------------------------------------------------------------------------------------------

### PHY 101 Practice Exam III Monday, November 27, 2:15-3:35PM

1 PHY 101 Practice Exam III Monday, November 27, 2:15-3:35PM Please be sure to show your work where it is requested. If no work is shown where it is requested, you will not receive any points. Partial

### University of the Philippines College of Science PHYSICS 72. Summer Second Long Problem Set

University of the Philippines College of Science PHYSICS 72 Summer 2012-2013 Second Long Problem Set INSTRUCTIONS: Choose the best answer and shade the corresponding circle on your answer sheet. To change

### CHAPTER 7 ELECTRODYNAMICS

CHAPTER 7 ELECTRODYNAMICS Outlines 1. Electromotive Force 2. Electromagnetic Induction 3. Maxwell s Equations Michael Faraday James C. Maxwell 2 Summary of Electrostatics and Magnetostatics ρ/ε This semester,

### P202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova

P202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova Name: Date: (5)1. How many electrons flow through a battery that delivers a current of 3.0 A for 12 s? A) 4 B) 36 C) 4.8 10 15 D) 6.4 10 18 E)

### Magnetic Fields Due to Currents

PHYS102 Previous Exam Problems CHAPTER 29 Magnetic Fields Due to Currents Calculating the magnetic field Forces between currents Ampere s law Solenoids 1. Two long straight wires penetrate the plane of

### Physics 2401 Summer 2, 2008 Exam III

Physics 2401 Summer 2, 2008 Exam e = 1.60x10-19 C, m(electron) = 9.11x10-31 kg, ε 0 = 8.845x10-12 C 2 /Nm 2, k e = 9.0x10 9 Nm 2 /C 2, m(proton) = 1.67x10-27 kg. n = nano = 10-9, µ = micro = 10-6, m =

### Physics Jonathan Dowling. Final Exam Review

Physics 2102 Jonathan Dowling Physics 2102 Final Exam Review A few concepts: electric force, field and potential Electric force: What is the force on a charge produced by other charges? What is the force

### PHYS 1444 Section 02 Review #2

PHYS 1444 Section 02 Review #2 November 9, 2011 Ian Howley 1 1444 Test 2 Eq. Sheet Terminal voltage Resistors in series Resistors in parallel Magnetic field from long straight wire Ampére s Law Force on

### Physics / Higher Physics 1A. Electricity and Magnetism Revision

Physics / Higher Physics 1A Electricity and Magnetism Revision Electric Charges Two kinds of electric charges Called positive and negative Like charges repel Unlike charges attract Coulomb s Law In vector

### MAGNETIC PROBLEMS. (d) Sketch B as a function of d clearly showing the value for maximum value of B.

PHYS2012/2912 MAGNETC PROBLEMS M014 You can investigate the behaviour of a toroidal (dough nut shape) electromagnet by changing the core material (magnetic susceptibility m ) and the length d of the air

### SCS 139 Applied Physic II Semester 2/2011

SCS 139 Applied Physic II Semester 2/2011 Practice Questions for Magnetic Forces and Fields (I) 1. (a) What is the minimum magnetic field needed to exert a 5.4 10-15 N force on an electron moving at 2.1

### Physics 3211: Electromagnetic Theory (Tutorial)

Question 1 a) The capacitor shown in Figure 1 consists of two parallel dielectric layers and a voltage source, V. Derive an equation for capacitance. b) Find the capacitance for the configuration of Figure

### Magnetic Force Acting on a Current- Carrying Conductor IL B

Magnetic Force Acting on a Current- Carrying Conductor A segment of a current-carrying wire in a magnetic field. The magnetic force exerted on each charge making up the current is qvd and the net force

The Steady Magnetic Fields Prepared By Dr. Eng. Sherif Hekal Assistant Professor Electronics and Communications Engineering 1/8/017 1 Agenda Intended Learning Outcomes Why Study Magnetic Field Biot-Savart

### xˆ z ˆ. A second vector is given by B 2xˆ yˆ 2z ˆ.

Directions for all homework submissions Submit your work on plain-white or engineering paper (not lined notebook paper). Write each problem statement above each solution. Report answers using decimals

### Physics 106, Section 1

Physics 106, Section 1 Magleby Exam 2, Summer 2012 Exam Cid You are allowed a pencil and a testing center calculator. No scratch paper is allowed. Testing center calculators only. 1. A circular coil lays

### Exam II. Solutions. Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points. The wires repel each other.

Exam II Solutions Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points. 1.! Concerning electric and magnetic fields, which of the following is wrong?!! A

### Multiple Choice Questions for Physics 1 BA113 Chapter 23 Electric Fields

Multiple Choice Questions for Physics 1 BA113 Chapter 23 Electric Fields 63 When a positive charge q is placed in the field created by two other charges Q 1 and Q 2, each a distance r away from q, the

### University Physics (Prof. David Flory) Chapt_31 Tuesday, July 31, 2007

Name: Date: 1. Suppose you are looking into one end of a long cylindrical tube in which there is a uniform electric field, pointing away from you. If the magnitude of the field is decreasing with time

### /20 /20 /20 /60. Dr. Galeazzi PHY207 Test #3 November 20, I.D. number:

Signature: Name: I.D. number: You must do ALL the problems Each problem is worth 0 points for a total of 60 points. TO GET CREDIT IN PROBLEMS AND 3 YOU MUST SHOW GOOD WORK. CHECK DISCUSSION SECTION ATTENDED:

### Final on December Physics 106 R. Schad. 3e 4e 5c 6d 7c 8d 9b 10e 11d 12e 13d 14d 15b 16d 17b 18b 19c 20a

Final on December11. 2007 - Physics 106 R. Schad YOUR NAME STUDENT NUMBER 3e 4e 5c 6d 7c 8d 9b 10e 11d 12e 13d 14d 15b 16d 17b 18b 19c 20a 1. 2. 3. 4. This is to identify the exam version you have IMPORTANT

### AP Physics C Mechanics Objectives

AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph

### 2 Coulomb s Law and Electric Field 23.13, 23.17, 23.23, 23.25, 23.26, 23.27, 23.62, 23.77, 23.78

College of Engineering and Technology Department of Basic and Applied Sciences PHYSICS I Sheet Suggested Problems 1 Vectors 2 Coulomb s Law and Electric Field 23.13, 23.17, 23.23, 23.25, 23.26, 23.27,

### Version The diagram below represents lines of magnetic flux within a region of space.

1. The diagram below represents lines of magnetic flux within a region of space. 5. The diagram below shows an electromagnet made from a nail, a coil of insulated wire, and a battery. The magnetic field

### MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2014 Final Exam Equation Sheet. B( r) = µ o 4π

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2014 Final Exam Equation Sheet Force Law: F q = q( E ext + v q B ext ) Poynting Vector: S = ( E B) / µ 0 Force on Current Carrying

### Magnetic field creation (example of a problem)

1 Magnetic field creation (example of a problem) Three long, straight wires are parallel to each other and perpendicular to the plane of the paper. Their mutual location is shown in Figure below. The currents

### Exam IV, Magnetism May 1 st, Exam IV, Magnetism

Exam IV, Magnetism Prof. Maurik Holtrop Department of Physics PHYS 408 University of New Hampshire March 27 th, 2003 Name: Student # NOTE: There are 4 questions. You have until 9 pm to finish. You must

### Magnetic Fields Part 2: Sources of Magnetic Fields

Magnetic Fields Part 2: Sources of Magnetic Fields Last modified: 08/01/2018 Contents Links What Causes a Magnetic Field? Moving Charges Right Hand Grip Rule Permanent Magnets Biot-Savart Law Magnetic

### Chapter 30. Sources of the Magnetic Field Amperes and Biot-Savart Laws

Chapter 30 Sources of the Magnetic Field Amperes and Biot-Savart Laws F B on a Charge Moving in a Magnetic Field Magnitude proportional to charge and speed of the particle Direction depends on the velocity

### University Physics Volume II Unit 2: Electricity and Magnetism Chapter 13: Electromagnetic Induction Conceptual Questions

University Physics Volume II Conceptual Questions 1. A stationary coil is in a magnetic field that is changing with time. Does the emf induced in the coil depend on the actual values of the magnetic field?

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A jeweler needs to electroplate gold (atomic mass 196.97 u) onto a bracelet. He knows

### Physics 8.02 Exam Two Equation Sheet Spring 2004

Physics 8.0 Exam Two Equation Sheet Spring 004 closed surface EdA Q inside da points from inside o to outside I dsrˆ db 4o r rˆ points from source to observer V moving from a to b E ds 0 V b V a b E ds

### Ch 30 - Sources of Magnetic Field

Ch 30 - Sources of Magnetic Field Currents produce Magnetism? 1820, Hans Christian Oersted: moving charges produce a magnetic field. The direction of the field is determined using a RHR. Oersted (1820)

### Physics 8.02 Exam Two Mashup Spring 2003

Physics 8.0 Exam Two Mashup Spring 003 Some (possibly useful) Relations: closedsurface da Q κ d = ε E A inside points from inside to outside b V = V V = E d s moving from a to b b a E d s = 0 V many point

### PHYS 2212 (Modern) Review. Electric Force and Fields

PHYS 2212 (Modern) Review Electric Force and Fields A permanent dipole and a charged particle lie on the x-axis and are separated by a distance d as indicated in the figure. The dipole consists of positive

### EXAM 3: SOLUTIONS. B = B. A 2 = BA 2 cos 0 o = BA 2. =Φ(2) B A 2 = A 1 cos 60 o = A 1 2 =0.5m2

EXAM : S Q.The normal to a certain m area makes an angle of 6 o with a uniform magnetic field. The magnetic flux through this area is the same as the flux through a second area that is perpendicular to

### 1. A ring of radius α has a charge distribution on it that varies as λ(θ) = λ 0 sin(θ), where λ 0 > 0, as shown in the figure.

EACH OF THE LECTURE QUESTIONS 1-22 IS WORTH 5 POINTS I. COULOMB S LAW 1. A ring of radius α has a charge distribution on it that varies as λ(θ) = λ 0 sin(θ), where λ 0 > 0, as shown in the figure. What

### PH2200 Practice Final Exam Summer 2003

INSTRUCTIONS 1. Write your name and student identification number on the answer sheet. 2. Please cover your answer sheet at all times. 3. This is a closed book exam. You may use the PH2200 formula sheet

### Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

Name: Class: _ Date: _ w9final Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. If C = 36 µf, determine the equivalent capacitance for the

### Exam 4 Solutions. a. 1,2,and 3 b. 1 and 2, not 3 c. 1 and 3, not 2 d. 2 and 3, not 1 e. only 2

Prof. Darin Acosta Prof. Greg Stewart April 8, 007 1. Which of the following statements is true? 1. In equilibrium all of any excess charge stored on a conductor is on the outer surface.. In equilibrium

### 18 - ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS ( Answers at the end of all questions ) Page 1

( Answers at the end of all questions ) Page ) The self inductance of the motor of an electric fan is 0 H. In order to impart maximum power at 50 Hz, it should be connected to a capacitance of 8 µ F (

### PRACTICE EXAM 2 for Midterm 2

PRACTICE EXAM 2 for Midterm 2 Multiple Choice Questions 1) In the circuit shown in the figure, all the lightbulbs are identical. Which of the following is the correct ranking of the brightness of the bulbs?

### DEHRADUN PUBLIC SCHOOL I TERM ASSIGNMENT SUBJECT- PHYSICS (042) CLASS -XII

Chapter 1(Electric charges & Fields) DEHRADUN PUBLIC SCHOOL I TERM ASSIGNMENT 2016-17 SUBJECT- PHYSICS (042) CLASS -XII 1. Why do the electric field lines never cross each other? [2014] 2. If the total

### Final Exam Physics 7b Section 2 Fall 2004 R Packard. Section Number:

Final Exam Physics 7b Section 2 Fall 2004 R Packard Name: SID: Section Number: The relative weight of each problem is stated next to the problem. Work the easier ones first. Define physical quantities

### PHYS 1444 Section 004 Lecture #22

PHYS 1444 Section 004 Lecture #22 Monday, April 23, 2012 Dr. Extension of Ampere s Law Gauss Law of Magnetism Maxwell s Equations Production of Electromagnetic Waves Today s homework is #13, due 10pm,

### FINAL EXAM - Physics Patel SPRING 1998 FORM CODE - A

FINAL EXAM - Physics 202 - Patel SPRING 1998 FORM CODE - A Be sure to fill in your student number and FORM letter (A, B, C, D, E) on your answer sheet. If you forget to include this information, your Exam

### Gen. Phys. II Exam 2 - Chs. 21,22,23 - Circuits, Magnetism, EM Induction Mar. 5, 2018

Gen. Phys. II Exam 2 - Chs. 21,22,23 - Circuits, Magnetism, EM Induction Mar. 5, 2018 Rec. Time Name For full credit, make your work clear. Show formulas used, essential steps, and results with correct

### Physics 55 Final Exam Fall 2012 Dr. Alward Page 1

Physics 55 Final Exam Fall 2012 Dr. Alward Page 1 1. The specific heat of lead is 0.030 cal/g C. 300 g of lead shot at 100 C is mixed with 100 g of water at 70 C in an insulated container. The final temperature

1. Write the relation for the force acting on a charge carrier q moving with velocity through a magnetic field in vector notation. Using this relation, deduce the conditions under which this force will

### Louisiana State University Physics 2102, Exam 3 April 2nd, 2009.

PRINT Your Name: Instructor: Louisiana State University Physics 2102, Exam 3 April 2nd, 2009. Please be sure to PRINT your name and class instructor above. The test consists of 4 questions (multiple choice),

### Chapter 28 Sources of Magnetic Field

Chapter 28 Sources of Magnetic Field In this chapter we investigate the sources of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents), Ampere s Law is introduced

### B r Solved Problems Magnetic Field of a Straight Wire

(4) Equate Iencwith d s to obtain I π r = NI NI = = ni = l π r 9. Solved Problems 9.. Magnetic Field of a Straight Wire Consider a straight wire of length L carrying a current I along the +x-direction,

### The Steady Magnetic Field LECTURE 7

The Steady Magnetic Field LECTURE 7 Learning Objectives Understand the Biot-Savart Law Understand the Ampere s Circuital Law Explain the Application of Ampere s Law Motivating the Magnetic Field Concept:

### PHYS102 Previous Exam Problems. Induction

PHYS102 Previous Exam Problems CHAPTER 30 Induction Magnetic flux Induced emf (Faraday s law) Lenz law Motional emf 1. A circuit is pulled to the right at constant speed in a uniform magnetic field with

### CLASS XII WB SET A PHYSICS

PHYSICS 1. Two cylindrical straight and very long non magnetic conductors A and B, insulated from each other, carry a current I in the positive and the negative z-direction respectively. The direction

### De La Salle University Manila Physics Fundamentals for Engineering 2 Quiz No. 3 Reviewer

De La Salle University Manila Physics Fundamentals for Engineering 2 Quiz No. 3 Reviewer Multiple Choice: 1. Which of the two arrangements shown has the smaller equivalent resistance between points a and

### Chapter 28 Sources of Magnetic Field

Chapter 28 Sources of Magnetic Field In this chapter we investigate the sources of magnetic of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents). Ampere s Law

### Junior-level Electrostatics Content Review

Junior-level Electrostatics Content Review Please fill out the following exam to the best of your ability. This will not count towards your final grade in the course. Do your best to get to all the questions

### Do not fill out the information below until instructed to do so! Name: Signature: Section Number:

Do not fill out the information below until instructed to do so! Name: Signature: E-mail: Section Number: No calculators are allowed in the test. Be sure to put a box around your final answers and clearly

### 1) in the direction marked 1 2) in the direction marked 2 3) in the direction marked 3 4) out of the page 5) into the page

Q1) In the figure, the current element i dl, the point P, and the three vectors (1, 2, 3) are all in the plane of the page. The direction of db, due to this current element, at the point P is: 1) in the

### Lab 7: EC-5, Faraday Effect Lab Worksheet

Lab 7: EC-5, Faraday Effect Lab Worksheet Name This sheet is the lab document your TA will use to score your lab. It is to be turned in at the end of lab. To receive full credit you must use complete sentences

### Exam I Page 1. Exam I solutions Wednesday, September 30, :25 PM

Exam I Page 1 Exam I solutions Wednesday, September 30, 2009 7:25 PM Exam I Page 2 5. [10 pts] The resonant frequency of a series RLC circuit driven by an oscillating voltage, o Cos( t), is greater than

### PHY 114 Summer Midterm 2 Solutions

PHY 114 Summer 009 - Midterm Solutions Conceptual Question 1: Can an electric or a magnetic field, each constant in space and time, e used to accomplish the actions descried elow? Explain your answers.

The Steady Magnetic Field Prepared By Dr. Eng. Sherif Hekal Assistant Professor Electronics and Communications Engineering 1/13/016 1 Agenda Intended Learning Outcomes Why Study Magnetic Field Biot-Savart

### Physics 182. Assignment 4

Physics 182 Assignment 4 1. A dipole (electric or magnetic) in a non-uniform field will in general experience a net force. The electric case was the subject of a problem on the midterm exam; here we examine

### Q1. Ans: (1.725) =5.0 = Q2.

Coordinator: Dr. A. Naqvi Wednesday, January 11, 2017 Page: 1 Q1. Two strings, string 1 with a linear mass density of 1.75 g/m and string 2 with a linear mass density of 3.34 g/m are tied together, as

### Two point charges, A and B, lie along a line separated by a distance L. The point x is the midpoint of their separation.

Use the following to answer question 1. Two point charges, A and B, lie along a line separated by a distance L. The point x is the midpoint of their separation. 1. Which combination of charges would yield

### Problem Fig

Problem 9.53 A flexible circular loop 6.50 cm in diameter lies in a magnetic field with magnitude 0.950 T, directed into the plane of the page, as shown. The loop is pulled at the points indicated by the

### Chapter 7. Electrodynamics

Chapter 7. Electrodynamics 7.2 Electromagnetic Induction 7.2.1 Faraday's Law In 1831 Michael Faraday reported on a series of experiments: Experiment 1. He pulled a loop of wire to the right through a magnetic

### Physics 212 Question Bank III 2010

A negative charge moves south through a magnetic field directed north. The particle will be deflected (A) North. () Up. (C) Down. (D) East. (E) not at all.. A positive charge moves West through a magnetic

### Final Exam: Physics Spring, 2017 May 8, 2017 Version 01

Final Exam: Physics2331 - Spring, 2017 May 8, 2017 Version 01 NAME (Please Print) Your exam should have 11 pages. This exam consists of 18 multiple-choice questions (2 points each, worth 36 points), and