Sources of Magnetic Field

Size: px
Start display at page:

Download "Sources of Magnetic Field"

Transcription

1 Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson

2 Goals for Chapter 28 To determine the magnetic field produced by a moving charge To study the magnetic field of an element of a current-carrying conductor To calculate the magnetic field of a long, straight, current-carrying conductor To study the magnetic force between currentcarrying wires To determine the magnetic field of a circular loop To use Ampere s Law to calculate magnetic fields

3 Introduction What can we say about the magnetic field due to a solenoid? What actually creates magnetic fields? We will introduce Ampere s law to calculate magnetic fields.

4 The magnetic field of a moving charge A moving charge generates a magnetic field that depends on the velocity of the charge. Figure 28.1 shows the direction of the field.

5 Magnetic force between moving protons Example 28.1 Two protons move parallel to the x-axis in opposite directions at the same speed v. Find the electric and magnetic forces on the upper proton and compare their magnitudes.

6 Magnetic field of a current element The total magnetic field of several moving charges is the vector sum of each field. Equation 28.7 is called the law of Biot and Savart.

7 Magnetic field of a straight current-carrying conductor If we apply the law of Biot and Savart to a long straight conductor, the result is B = 0 I/2πx. See Figure 28.5 below left. Figure 28.6 below right shows the right-hand rule for the direction of the force.

8 Magnetic fields of long wires Example 28.4 the magnetic field from two parallel wires.

9 Force between parallel conductors The force per unit length on each conductor is F/L = 0 II L/2πr. (See Figure 28.9 at the right.) The conductors attract each other if the currents are in the same direction and repel if they are in opposite directions.

10 Forces between parallel wires Example 28.5 What is the force per length below.

11 Magnetic field of a circular current loop The Biot Savart law gives B x = 0 Ia 2 /2(x 2 + a 2 ) 3/2 on the axis of the loop.

12 The Magnetic Field of a Solenoid N-loops (turns) At the center of N loops, x=0, the field on the axis is B x = 0 NI/2a. Where is x=0 in the figure?

13 Example 28.6 A coil consists of 100 circular loops with radius 0.60 m carries a 5.0 A current. (a) Find the magnetic field at the center, x=0. (b) Find the magnetic field at a point along the axis 0.80 m from the center (c) Along the axis, at what distance from the center of the coil is the field magnitude 1/8 as great as it is at the center?

14 Magnetic field of a coil The direction of the magnetic field can be found using the righthand rule. Along the x-axis, the magnetic field drops off as we move away from center. B x NIa 2( x a ) /2 What is B at x=±a?

15 Ampere s law (special case) Follow the text discussion of Ampere s law for a circular path around a long straight conductor, using Figure below.

16 Ampere s law (general statement) Follow the text discussion of the general statement of Ampere s law, using Figures and below.

17 Magnetic fields of long conductors Follow Example 28.7 for a long straight conductor. Follow Example 28.8 for a long cylinder, using Figures and below.

18 Ampere s Law applied to the Field of a solenoid Example 28.9

19 Field of a toroidal solenoid A toroidal solenoid is a doughnut-shaped solenoid. Example 28.10

20 The Bohr magneton and paramagnetism Follow the text discussions of the Bohr magneton and paramagnetism, using Figure below. Table 28.1 shows the magnetic susceptibilities of some materials. Follow Example

21 Diamagnetism and ferromagnetism Figure at the right shows how magnetic domains react to an applied magnetic field. Figure below shows a magnetization curve for a ferromagnetic material.

22 Hysteresis Nonlinear behavior, a delayed response Follow Example

Chapter 28 Magnetic Fields Sources

Chapter 28 Magnetic Fields Sources Chapter 28 Magnetic Fields Sources All known magnetic sources are due to magnetic dipoles and inherently macroscopic current sources or microscopic spins and magnetic moments Goals for Chapter 28 Study

More information

Sources of Magnetic Field

Sources of Magnetic Field Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 28 Looking forward

More information

Chapter 28 Source of Magnetic Field

Chapter 28 Source of Magnetic Field Chapter 28 Source of Magnetic Field Lecture by Dr. Hebin Li Goals of Chapter 28 To determine the magnetic field produced by a moving charge To study the magnetic field of an element of a current-carrying

More information

Chapter 27 Sources of Magnetic Field

Chapter 27 Sources of Magnetic Field Chapter 27 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

More information

Handout 8: Sources of magnetic field. Magnetic field of moving charge

Handout 8: Sources of magnetic field. Magnetic field of moving charge 1 Handout 8: Sources of magnetic field Magnetic field of moving charge Moving charge creates magnetic field around it. In Fig. 1, charge q is moving at constant velocity v. The magnetic field at point

More information

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

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

More information

Chapter 28 Sources of Magnetic Field

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

More information

Physics 202, Lecture 14

Physics 202, Lecture 14 Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch. 27) Review of Biot-Savart Law Ampere s Law Magnetism in Matter Magnetic Fields (Biot-Savart): Summary Current loop, distance on

More information

Chapter 28 Sources of Magnetic Field

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

More information

Lecture PowerPoints. Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli

Lecture PowerPoints. Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli Lecture PowerPoints Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for

More information

Lecture PowerPoints. Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli

Lecture PowerPoints. Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli Lecture PowerPoints Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for

More information

Lecture 29. PHYC 161 Fall 2016

Lecture 29. PHYC 161 Fall 2016 Lecture 29 PHYC 161 Fall 2016 Magnetic Force and Torque on a Current Loop Let s look at the Net force and net torque on a current loop: df Idl B F IaB top and bottom F IbB sides But, the forces on opposite

More information

Physics 1402: Lecture 17 Today s Agenda

Physics 1402: Lecture 17 Today s Agenda Physics 1402: Lecture 17 Today s Agenda Announcements: Midterm 1 distributed today Homework 05 due Friday Magnetism Trajectory in Constant B Field Suppose charge q enters B field with velocity v as shown

More information

Chapter 22 Magnetism

Chapter 22 Magnetism Chapter 22 Magnetism 1 Overview of Chapter 22 The Magnetic Field The Magnetic Force on Moving Charges The Motion of Charged Particles in a Magnetic Field The Magnetic Force Exerted on a Current-Carrying

More information

Physics 1402: Lecture 18 Today s Agenda

Physics 1402: Lecture 18 Today s Agenda Physics 1402: Lecture 18 Today s Agenda Announcements: Midterm 1 distributed available Homework 05 due Friday Magnetism Calculation of Magnetic Field Two ways to calculate the Magnetic Field: iot-savart

More information

Lecture Outlines Chapter 22. Physics, 3 rd Edition James S. Walker

Lecture Outlines Chapter 22. Physics, 3 rd Edition James S. Walker Lecture Outlines Chapter 22 Physics, 3 rd Edition James S. Walker 2007 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in

More information

Ch. 28: Sources of Magnetic Fields

Ch. 28: Sources of Magnetic Fields Ch. 28: Sources of Magnetic Fields Electric Currents Create Magnetic Fields A long, straight wire A current loop A solenoid Slide 24-14 Biot-Savart Law Current produces a magnetic field The Biot-Savart

More information

Electromagnetic Induction

Electromagnetic Induction Chapter 29 Electromagnetic Induction PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 29 Looking forward

More information

Magnetic Field Lines for a Loop

Magnetic Field Lines for a Loop Magnetic Field Lines for a Loop Figure (a) shows the magnetic field lines surrounding a current loop Figure (b) shows the field lines in the iron filings Figure (c) compares the field lines to that of

More information

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) 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,

More information

PHYS152 Lecture 8. Eunil Won Korea University. Ch 30 Magnetic Fields Due to Currents. Fundamentals of Physics by Eunil Won, Korea University

PHYS152 Lecture 8. Eunil Won Korea University. Ch 30 Magnetic Fields Due to Currents. Fundamentals of Physics by Eunil Won, Korea University PHYS152 Lecture 8 Ch 3 Magnetic Fields Due to Currents Eunil Won Korea University Calculating the Magnetic Field Due to a Current Recall that we had the formula for the electrostatic force: d E = 1 ɛ dq

More information

Magnetic Fields due to Currents

Magnetic Fields due to Currents Observation: a current of moving charged particles produces a magnetic field around the current. Chapter 29 Magnetic Fields due to Currents Magnetic field due to a current in a long straight wire a current

More information

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

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

More information

Magnetic field creation (example of a problem)

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

More information

Electric vs Magnetic Comparison

Electric vs Magnetic Comparison 5. MAGNETOSTATICS Electric vs Magnetic Comparison J=σE Most dielectrics µ = µo excluding ferromagnetic materials Gauss s Law E field is conservative Gauss s law (integral) Conservative E field Electric

More information

PSI AP Physics C Sources of Magnetic Field. Multiple Choice Questions

PSI AP Physics C Sources of Magnetic Field. Multiple Choice Questions PSI AP Physics C Sources of Magnetic Field Multiple Choice Questions 1. Two protons move parallel to x- axis in opposite directions at the same speed v. What is the direction of the magnetic force on the

More information

Magnetic Force on a Moving Charge

Magnetic Force on a Moving Charge Magnetic Force on a Moving Charge Electric charges moving in a magnetic field experience a force due to the magnetic field. Given a charge Q moving with velocity u in a magnetic flux density B, the vector

More information

Coaxial cable. Coaxial cable. Magnetic field inside a solenoid

Coaxial cable. Coaxial cable. Magnetic field inside a solenoid Divergence and circulation Surface S Ampere s Law A vector field is generally characterized by 1) how field lines possibly diverge away from or converge upon (point) sources plus 2) how field lines circulate,

More information

Chapter 30 Sources of the magnetic field

Chapter 30 Sources of the magnetic field Chapter 30 Sources of the magnetic field Force Equation Point Object Force Point Object Field Differential Field Is db radial? Does db have 1/r2 dependence? Biot-Savart Law Set-Up The magnetic field is

More information

For more info visit

For more info visit Magneto-static:- It is the study of magnetic fields in systems where the currents are steady (not changing with time). It is the magnetic analogue of electrostatics, where the charges are stationary. Magnitude

More information

Physics 202, Lecture 14

Physics 202, Lecture 14 Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch. 30) Review: iot-savart Law, Ampere s Law Displacement Current: Ampere-Maxwell Law Magnetism in Matter Maxwell s Equations (prelude)

More information

Electromagnetic Waves

Electromagnetic Waves Chapter 32 Electromagnetic Waves PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 32 To learn why a light

More information

(1) I have completed at least 50% of the reading and study-guide assignments associated with the lecture, as indicated on the course schedule.

(1) I have completed at least 50% of the reading and study-guide assignments associated with the lecture, as indicated on the course schedule. iclicker Quiz (1) I have completed at least 50% of the reading and study-guide assignments associated with the lecture, as indicated on the course schedule. a) True b) False Hint: pay attention to how

More information

LECTURE 22 MAGNETIC TORQUE & MAGNETIC FIELDS. Instructor: Kazumi Tolich

LECTURE 22 MAGNETIC TORQUE & MAGNETIC FIELDS. Instructor: Kazumi Tolich LECTURE 22 MAGNETIC TORQUE & MAGNETIC FIELDS Instructor: Kazumi Tolich Lecture 22 2! Reading chapter 22.5 to 22.7! Magnetic torque on current loops! Magnetic field due to current! Ampere s law! Current

More information

B for a Long, Straight Conductor, Special Case. If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes

B for a Long, Straight Conductor, Special Case. If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes B for a Long, Straight Conductor, Special Case If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes μ I B = o 2πa B for a Curved Wire Segment Find the field at point

More information

A moving charge produces both electric field and magnetic field and both magnetic field can exert force on it.

A moving charge produces both electric field and magnetic field and both magnetic field can exert force on it. Key Concepts A moving charge produces both electric field and magnetic field and both magnetic field can exert force on it. Note: In 1831, Michael Faraday discovered electromagnetic induction when he found

More information

Key Contents. Magnetic fields and the Lorentz force. Magnetic force on current. Ampere s law. The Hall effect

Key Contents. Magnetic fields and the Lorentz force. Magnetic force on current. Ampere s law. The Hall effect Magnetic Fields Key Contents Magnetic fields and the Lorentz force The Hall effect Magnetic force on current The magnetic dipole moment Biot-Savart law Ampere s law The magnetic dipole field What is a

More information

Experiment No: EM 4 Experiment Name: Biot-Savart Law Objectives:

Experiment No: EM 4 Experiment Name: Biot-Savart Law Objectives: Experiment No: EM 4 Experiment Name: Biot-Savart Law Objectives: Measuring the magnetic field of a current passing through long straight and conductor wire as a function of the current. Measuring the magnetic

More information

Chapter 19. Magnetism

Chapter 19. Magnetism Chapter 19 Magnetism The figure shows the path of a negatively charged particle in a region of a uniform magnetic field. Answer the following questions about this situation (in each case, we revert back

More information

The Steady Magnetic Field LECTURE 7

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:

More information

Linear and Nonlinear Magnetic Media (Griffiths Chapter 6: Sections 3-4) Auxiliary Field H We write the total current density flowing through matter as

Linear and Nonlinear Magnetic Media (Griffiths Chapter 6: Sections 3-4) Auxiliary Field H We write the total current density flowing through matter as Dr. Alain Brizard Electromagnetic Theory I (PY 02) Linear and Nonlinear Magnetic Media (Griffiths Chapter 6: Sections -4) Auxiliary Field H We write the total current density flowing through matter as

More information

Chapter 27 Magnetism 1/20/ Magnets and Magnetic Fields Magnets and Magnetic Fields Magnets and Magnetic Fields

Chapter 27 Magnetism 1/20/ Magnets and Magnetic Fields Magnets and Magnetic Fields Magnets and Magnetic Fields Chapter 27 Magnetism Magnets have two ends poles called north and south. Like poles repel; unlike poles attract. However, if you cut a magnet in half, you don t get a north pole and a south pole you get

More information

Magnetic field and magnetic poles

Magnetic field and magnetic poles Magnetic field and magnetic poles Magnetic Field B is analogically similar to Electric Field E Electric charges (+ and -)are in analogy to magnetic poles(north:n and South:S). Paramagnetism, Diamagnetism,

More information

Magnetic Fields & Forces

Magnetic Fields & Forces Magnetic Fields & Forces Oersted discovered that an electric current will produce a magnetic field around conductor only a moving charge creates a magnetic field the magnetic field is circular around the

More information

Induction. Chapter 29. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman. Lectures by James Pazun

Induction. Chapter 29. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman. Lectures by James Pazun Chapter 29 Electromagnetic Induction PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun 29. Electromagnetic induction 1. Magnetic flux/faraday

More information

III.Sources of Magnetic Fields - Ampere s Law - solenoids

III.Sources of Magnetic Fields - Ampere s Law - solenoids Magnetism I. Magnetic Field - units, poles - effect on charge II. Magnetic Force on Current - parallel currents, motors III.Sources of Magnetic Fields - Ampere s Law - solenoids IV.Magnetic Induction -

More information

Phys102 Lecture 16/17 Magnetic fields

Phys102 Lecture 16/17 Magnetic fields Phys102 Lecture 16/17 Magnetic fields Key Points Electric Currents Produce Magnetic Fields Force on an Electric Current in a Magnetic Field; Definition of B Force on an Electric Charge Moving in a Magnetic

More information

Magnetic Fields & Forces

Magnetic Fields & Forces Magnetic Fields & Forces Oersted discovered that an electric current will produce a magnetic field around conductor only a moving charge creates a magnetic field the magnetic field is circular around the

More information

Physics 202, Lecture 14

Physics 202, Lecture 14 Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch 30) Review: The Biot-Savart Law The Ampere s Law Applications And Exercises of ampere s Law Straight line, Loop, Solenoid, Toroid

More information

INTRODUCTION MAGNETIC FIELD OF A MOVING POINT CHARGE. Introduction. Magnetic field due to a moving point charge. Units.

INTRODUCTION MAGNETIC FIELD OF A MOVING POINT CHARGE. Introduction. Magnetic field due to a moving point charge. Units. Chapter 9 THE MAGNETC FELD ntroduction Magnetic field due to a moving point charge Units Biot-Savart Law Gauss s Law for magnetism Ampère s Law Maxwell s equations for statics Summary NTRODUCTON Last lecture

More information

It is the force experienced by a charged particle moving in a space where both electric and magnetic fields exist. F =qe + q(v B )

It is the force experienced by a charged particle moving in a space where both electric and magnetic fields exist. F =qe + q(v B ) Moving Charges and Magnetism Moving Charges Moving charges produce magnetic field around them. SI unit of magnetic field is Tesla (T). Lorentz Force It is the force experienced by a charged particle moving

More information

DAY 12. Summary of Topics Covered in Today s Lecture. Magnetic Fields Exert Torques on a Loop of Current

DAY 12. Summary of Topics Covered in Today s Lecture. Magnetic Fields Exert Torques on a Loop of Current DAY 12 Summary of Topics Covered in Today s Lecture Magnetic Fields Exert Torques on a Loop of Current Imagine a wire bent into the shape of a rectangle with height h and width w. The wire carries a current

More information

Section 24.8 Magnets and Magnetic Materials Pearson Education, Inc.

Section 24.8 Magnets and Magnetic Materials Pearson Education, Inc. Section 24.8 Magnets and Magnetic Materials A Current Loop in a Uniform Field Slide 24-2 A Current Loop in a Uniform Field A magnetic dipole will rotate to line up with a magnetic field just as an electric

More information

Displacement Current. Ampere s law in the original form is valid only if any electric fields present are constant in time

Displacement Current. Ampere s law in the original form is valid only if any electric fields present are constant in time Displacement Current Ampere s law in the original form is valid only if any electric fields present are constant in time Maxwell modified the law to include timesaving electric fields Maxwell added an

More information

Ampere s Law. Outline. Objectives. BEE-Lecture Notes Anurag Srivastava 1

Ampere s Law. Outline. Objectives. BEE-Lecture Notes Anurag Srivastava 1 Outline Introduce as an analogy to Gauss Law. Define. Applications of. Objectives Recognise to be analogous to Gauss Law. Recognise similar concepts: (1) draw an imaginary shape enclosing the current carrying

More information

Nuclear Physics. Chapter 43. PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman

Nuclear Physics. Chapter 43. PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Chapter 43 Nuclear Physics PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 43 To understand some key properties

More information

PHYSICS. Chapter 29 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS. Chapter 29 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 29 Lecture RANDALL D. KNIGHT Chapter 29 The Magnetic Field IN THIS CHAPTER, you will learn about magnetism and the magnetic field.

More information

CHAPTER 4: MAGNETIC FIELD

CHAPTER 4: MAGNETIC FIELD CHAPTER 4: MAGNETIC FIELD PSPM II 2005/2006 NO. 4 4. FIGURE 3 A copper rod of mass 0.08 kg and length 0.20 m is attached to two thin current carrying wires, as shown in FIGURE 3. The rod is perpendicular

More information

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

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

More information

μ 0 I enclosed = B ds

μ 0 I enclosed = B ds Ampere s law To determine the magnetic field created by a current, an equation much easier to use than Biot-Savart is known as Ampere s law. As before, μ 0 is the permeability of free space, 4π x 10-7

More information

May 08, Magnetism.notebook. Unit 9 Magnetism. This end points to the North; call it "NORTH." This end points to the South; call it "SOUTH.

May 08, Magnetism.notebook. Unit 9 Magnetism. This end points to the North; call it NORTH. This end points to the South; call it SOUTH. Unit 9 Magnetism This end points to the North; call it "NORTH." This end points to the South; call it "SOUTH." 1 The behavior of magnetic poles is similar to that of like and unlike electric charges. Law

More information

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

/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:

More information

Magnetostatics III. P.Ravindran, PHY041: Electricity & Magnetism 1 January 2013: Magntostatics

Magnetostatics III. P.Ravindran, PHY041: Electricity & Magnetism 1 January 2013: Magntostatics Magnetostatics III Magnetization All magnetic phenomena are due to motion of the electric charges present in that material. A piece of magnetic material on an atomic scale have tiny currents due to electrons

More information

Chapter 29. Magnetic Fields due to Currentss

Chapter 29. Magnetic Fields due to Currentss Chapter 29 Magnetic Fields due to Currentss Refresher: The Magnetic Field Permanent bar magnets have opposite poles on each end, called north and south. Like poles repel; opposites attract. If a magnet

More information

Outside the solenoid, the field lines are spread apart, and at any given distance from the axis, the field is weak.

Outside the solenoid, the field lines are spread apart, and at any given distance from the axis, the field is weak. Applications of Ampere s Law continued. 2. Field of a solenoid. A solenoid can have many (thousands) of turns, and perhaps many layers of windings. The figure shows a simple solenoid with just a few windings

More information

Torque on a Current Loop

Torque on a Current Loop Today Chapter 19 Magnetism Torque on a current loop, electrical motor Magnetic field around a current carrying wire. Ampere s law Solenoid Material magnetism Clicker 1 Which of the following is wrong?

More information

Homework (lecture 11): 3, 5, 9, 13, 21, 25, 29, 31, 40, 45, 49, 51, 57, 62

Homework (lecture 11): 3, 5, 9, 13, 21, 25, 29, 31, 40, 45, 49, 51, 57, 62 Homework (lecture ): 3, 5, 9, 3,, 5, 9, 3, 4, 45, 49, 5, 57, 6 3. An electron that has velocity: moves through the uniform magnetic field (a) Find the force on the electron. (b) Repeat your calculation

More information

ELECTRO MAGNETIC FIELDS

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

More information

Electromagnetic Induction

Electromagnetic Induction Chapter 29 Electromagnetic Induction PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Modified by P. Lam 8_4_2008 Topics for Chapter

More information

Chapter 29: Magnetic Fields Due to Currents. PHY2049: Chapter 29 1

Chapter 29: Magnetic Fields Due to Currents. PHY2049: Chapter 29 1 Chapter 29: Magnetic Fields Due to Currents PHY2049: Chapter 29 1 Law of Magnetism Unlike the law of static electricity, comes in two pieces Piece 1: Effect of B field on moving charge r r F = qv B (Chapt.

More information

Magnets. Domain = small magnetized region of a magnetic material. all the atoms are grouped together and aligned

Magnets. Domain = small magnetized region of a magnetic material. all the atoms are grouped together and aligned Magnetic Fields Magnets Domain = small magnetized region of a magnetic material all the atoms are grouped together and aligned Magnets Ferromagnetic materials domains can be forced to line up by applying

More information

PHYS 1444 Section 501 Lecture #17

PHYS 1444 Section 501 Lecture #17 PHYS 1444 Section 501 Lecture #17 Wednesday, Mar. 29, 2006 Solenoid and Toroidal Magnetic Field Biot-Savart Law Magnetic Materials B in Magnetic Materials Hysteresis Today s homework is #9, due 7pm, Thursday,

More information

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

More information

Chapter 22, Magnetism. Magnets

Chapter 22, Magnetism. Magnets Chapter 22, Magnetism Magnets Poles of a magnet (north and south ) are the ends where objects are most strongly attracted. Like poles repel each other and unlike poles attract each other Magnetic poles

More information

Ampere s law. Lecture 15. Chapter 32. Physics II. Course website:

Ampere s law. Lecture 15. Chapter 32. Physics II. Course website: Lecture 15 Chapter 32 Physics II Ampere s law Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Ampere s Law Electric Field From Coulomb s law 1 4 Magnetic Field Bio-Savart law 4

More information

Chapter 5: Static Magnetic Fields

Chapter 5: Static Magnetic Fields Chapter 5: Static Magnetic Fields 5-8. Behavior of Magnetic Materials 5-9. Boundary Conditions for Magnetostatic Fields 5-10. Inductances and Inductors 5-8 Behavior of Magnetic Materials Magnetic materials

More information

Magnetic Force Cyclotron motion

Magnetic Force Cyclotron motion Lecture 15 Chapter 29 Physics II Magnetic Force Cyclotron motion Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 29: Section 29.7 (Skip the

More information

Chapter 27 Magnetism. Copyright 2009 Pearson Education, Inc.

Chapter 27 Magnetism. Copyright 2009 Pearson Education, Inc. Chapter 27 Magnetism 27-1 Magnets and Magnetic Fields Magnets have two ends poles called north and south. Like poles repel; unlike poles attract. 27-1 Magnets and Magnetic Fields However, if you cut a

More information

10/24/2012 PHY 102. (FAWOLE O.G.) Good day. Here we go..

10/24/2012 PHY 102. (FAWOLE O.G.) Good day. Here we go.. Good day. Here we go.. 1 PHY102- GENERAL PHYSICS II Text Book: Fundamentals of Physics Authors: Halliday, Resnick & Walker Edition: 8 th Extended Lecture Schedule TOPICS: Dates Ch. 28 Magnetic Fields 12

More information

PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism)

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

More information

Lecture 20 Ampère s Law

Lecture 20 Ampère s Law Lecture 20 Ampère s Law Sections: 7.2, partially 7.7 Homework: See homework file Ampère s Law in ntegral Form 1 the field of a straight wire with current (Lecture 19) B H = = a a φ φ µ, T 2πρ, A/m 2πρ

More information

Magnetostatics: Part 1

Magnetostatics: Part 1 Magnetostatics: Part 1 We present magnetostatics in comparison with electrostatics. Sources of the fields: Electric field E: Coulomb s law. Magnetic field B: Biot-Savart law. Charge Current (moving charge)

More information

Magnetic Forces and Fields (Chapters 32)

Magnetic Forces and Fields (Chapters 32) Magnetic Forces and Fields (Chapters 32) Magnetism Magnetic Materials and Sources Magnetic Field, B Magnetic Force Force on Moving Electric Charges Lorentz Force Force on Current Carrying Wires Applications

More information

we can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron.

we can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron. Physics II we can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron. Particle Symbol Charge (e) Mass (kg) Proton P +1 1.67

More information

Electricity & Optics

Electricity & Optics Physics 24100 Electricity & Optics Lecture 15 Chapter 27 sec. 3-5 Fall 2016 Semester Professor Koltick Magnetic Fields B = μ 0 4π I dl r r 2 = μ 0 4π I dl r r 3 B = μ 0 2I 4π R B = μ 0 2 IR 2 R 2 + z 2

More information

week 8 The Magnetic Field

week 8 The Magnetic Field week 8 The Magnetic Field General Principles General Principles Applications Start with magnetic forces on moving charges and currents A positive charge enters a uniform magnetic field as shown. What is

More information

PH 1120 Term D, 2017

PH 1120 Term D, 2017 PH 1120 Term D, 2017 Study Guide 4 / Objective 13 The Biot-Savart Law \ / a) Calculate the contribution made to the magnetic field at a \ / specified point by a current element, given the current, location,

More information

B' = 0 ni' B B'= 2 Q. No. 18 A long solenoid is formed by winding 20 turns/cm. The current necessary to produce a magnetic field of 20 milli tesla inside the solenoid will be approximately 1.0 A 2.0 A

More information

B r Solved Problems Magnetic Field of a Straight Wire

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,

More information

INDIAN SCHOOL MUSCAT SENIOR SECTION DEPARTMENT OF PHYSICS CLASS XII CHAPTER 4 and 5 Magnetic Effects of Electric current and Magnetism WORKSHEET 4

INDIAN SCHOOL MUSCAT SENIOR SECTION DEPARTMENT OF PHYSICS CLASS XII CHAPTER 4 and 5 Magnetic Effects of Electric current and Magnetism WORKSHEET 4 INDIAN SCHOOL MUSCAT SENIOR SECTION DEPARTMENT OF PHYSICS CLASS XII CHAPTER 4 and 5 Magnetic Effects of Electric current and Magnetism WORKSHEET 4 SECTION A CONCEPTUAL AND APPLICATION TYPE QUESTIONS 1

More information

Chapter 27 Magnetism. Copyright 2009 Pearson Education, Inc.

Chapter 27 Magnetism. Copyright 2009 Pearson Education, Inc. Chapter 27 Magnetism 27-1 Magnets and Magnetic Fields Magnets have two ends poles called north and south. Like poles repel; unlike poles attract. 27-1 Magnets and Magnetic Fields However, if you cut a

More information

Mass of neutron=1.675 X kg. SECTION-A

Mass of neutron=1.675 X kg. SECTION-A No. of printed pages:5 INDIAN SCHOOL SOHAR FIRST TERM EXAM- 2015 PHYSICS THEY CLASS: XII MARKS:70 DATE: 15 /9/2015 TIME:3hrs General Instructions: 1. All questions are compulsory. 2. There are 26 questions

More information

PHY 131 Review Session Fall 2015 PART 1:

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

More information

MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

MAGNETIC EFFECTS OF CURRENT AND MAGNETISM UNIT III MAGNETIC EFFECTS OF CURRENT AND MAGNETISM Weightage 8 Marks Concept of magnetic field and Oersted s experiment Biot-savart law and its application to current carrying circular loop. Ampere s law

More information

Magnetism. February 27, 2014 Physics for Scientists & Engineers 2, Chapter 27 1

Magnetism. February 27, 2014 Physics for Scientists & Engineers 2, Chapter 27 1 Magnetism February 27, 2014 Physics for Scientists & Engineers 2, Chapter 27 1 Force on a Current Carrying Wire! The magnitude of the magnetic force on a wire of length L carrying a current i is F = il

More information

Magnetic Force Cyclotron motion

Magnetic Force Cyclotron motion Lecture 17 Chapter 29 Magnetic Force Cyclotron motion Messiah!? Miraculous appearance out of the blue. Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss:

More information

Downloaded from

Downloaded from MAGNETIC EFFECT OF CURRENT AND MAGNETISM MINIMUM LEVEL OF LEARNING ONE MARK QUESTIONS Q1) State Biot Savart s Law. A1) It states that magnetic field due to a small conductor of length dl, carrying a current

More information

Magnetism. March 10, 2014 Physics for Scientists & Engineers 2, Chapter 27 1

Magnetism. March 10, 2014 Physics for Scientists & Engineers 2, Chapter 27 1 Magnetism March 10, 2014 Physics for Scientists & Engineers 2, Chapter 27 1 Notes! Homework is due on We night! Exam 4 next Tuesday Covers Chapters 27, 28, 29 in the book Magnetism, Magnetic Fields, Electromagnetic

More information

The First Law of Thermodynamics

The First Law of Thermodynamics Chapter 19 The First Law of Thermodynamics PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 19 To represent

More information

Electromagnetic fields Learning outcome

Electromagnetic fields Learning outcome Electromagnetic fields Learning outcome At the end of this lecture you will be able to: List the most important electromagnetic field quantities Explain what these quantities describe Calculate some of

More information