Handout 8: Sources of magnetic field. Magnetic field of moving charge
|
|
- Isabel York
- 6 years ago
- Views:
Transcription
1 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 P, distance r from the charge, is B = μ 0 qv r r 2, where μ 0 is a constant called permeability and its value in free space is equal to 10 7 TmA -1. The unit vector r is drawn from the charge to the point P. Note that at any point along the line of motion of the charge, v r = 0 and hence there is no magnetic field along this line. The magnetic field circulates around the line of the path of motion of the charge. Figure 1: Magnetic field due to moving charge Example 1 A proton of charge q = C is moving along a straight line with constant speed v = ms -1. Point P is at distance r = 1 m from the proton. The line joining P to the charge makes angle θ = 30 to the line of proton s motion. r P q θ v a) Find the electric field at point P. b) Find the magnetic field at point P. Example 2 Two protons move parallel to each other along x-axis in the opposite directions at the same speed v. Show that the ratio of magnetic force to electric force on each proton is equal to ε 0 μ 0 v 2.
2 2 Biot-Savart law The source of magnetic field is moving charge, i.e., electric current. Figure 2 shows a current element of length dl producing a magnetic field element db at point P. Inside dl, charge element dq is moving at drift speed v d. Therefore, db = μ 0 dq v d r r 2. Note that dq v d = Idt v d = Idl. The total magnetic field at point P is the integral over the whole length of the wire. We arrive at the Biot and Savart law: Figure 2: Magnetic field of current element B = μ 0 Idl r r 2. The direction of the magnetic field around a current-carrying conductor can be found by using right hand as shown in Fig. 3. The thumb points along the current and the four fingers curl in the direction of the magnetic field. Fig. 4 shows the directions of magnetic field produced by current in a circular loop. Figure 3: The magnetic field around a current-carrying conductor Infinitely long straight wire Let us demonstrate the use of Biot-Savart law by finding the magnetic field produced by an infinitely long straight wire carry a current. Figure 5 shows a current I flowing along an infinitely long wire. Point P is at distance R from the wire. The current element of length dx produces, at point P, the field element, db = μ 0I dx sin φ r 2 = μ 0 I dx cos θ r 2 Figure 4: The magnetic field produced by current in a circular loop in the direction out of the page. By writing cos θ = R x 2 + R 2 and r = x 2 + R 2, we have db = μ 0I Rdx x 2 + R 2 3/2. To obtain the magnetic field at point P, the above equation is integrated from x = to x = (the wire is infinitely long). Therefore, Figure 5: Current element dx producing field element db at point P
3 3 B = μ 0IR dx x 2 + R 2 3/2. By using simple integration technique, the integral is equal to 2 R 2. The magnetic field produced by an infinitely long current-carrying straight wire is given by B = μ 0I 2πR. Example 3 Let the current I flow around the loop of radius R. Use Biot-Savart law to show that the magnetic field at the center of the loop is given by B = μ 0I 2R. Force between parallel conductors Figure 6 shows two parallel conductors of equal length l separated by distance d (d l). The wire 1 carries the current I 1 and the 2 carries the current I 2 in the same direction. Consider the magnetic field B 2 at wire 1, produced by wire 2. We have B 2 = μ 0 I 2 2πd. Wire 1 is in the field B 2 and hence experiences magnetic force F 1 towards wire 2. The magnitude of the force is given by F 1 = B 2 I 1 l = μ 0 I 2 2πd I 1l = μ 0I 2 I 1 l 2πd. Figure 6: Two parallel conductors with current flowing in the same direction If we consider the force F 2 acting on wire 2 due to the magnetic field from wire 1, we find that F 2 = F 1 but in opposite directions. The wires attract. The same argument can be applied to case when the currents are in the opposite directions. The result is that the wires repel.
4 4 Ampere s law Ampere s law is formulated in terms of the line integral of magnetic field. Consider the line integral of B along the path in Fig. 7: B cos θ dl = B dl. The line integral is expressed as a dot product. Ampere s law state that the line integral of B around the a closed path is equal to the current enclosed by that path multiplied by μ 0 : Figure 7: Line integral of magnetic field along a chosen path B dl = μ 0 I enc. The symbol denotes integral around a closed path. The application of Ampere s law is particularly useful in system with certain symmetry. The use of Ampere s law follow the following steps Draw Amperian loop such that the magnetic field is aligned with the loop and the magnitude of the magnetic field is constant along the loop. Evaluate B dl = B dl. Find the enclosed current I enc. Find magnetic field B. Applications of Ampere s law Infinitely long conductor The magnetic field around the a long straight conductor is circular. Draw an Amperian loop to be a circle of radius r centered at the conductor as shown in Fig. 8. Vector B is parallel to dl and the magnitude of B is constant along the loop. Therefore, B dl = B dl = B dl = B 2πr. The enclosed current is the current I of the conductor. We have B 2πr = μ 0 I B r = μ 0 I 2πr. Figure 8: Amperian loop around a long straight wire The result is the same as that obtained from Biot-Savart law.
5 5 Solenoid The magnetic field produced by a solenoid is shown in Fig. 9. The field is approximately uniform inside the solenoid and zero outside. We use Ampere s law to find the field inside the solenoid by drawing Amperian loop abcd as illustrated in Fig. 10. The path bc and da are perpendicular to the field and the line integral is zero. The path cd is outside the solenoid where the field is zero. The only nonzero line integral is along ab which gives Figure 9: Magnetic field by solenoid B dl = B dl = B dl = BL. The enclosed current I enc = NI where I is the current in the coil and N is the number of turns over the length L. Therefore, from Ampere s law, BL = μ 0 NI B = μ 0NI L. The above expression is often written in terms n = N/L which is the number of turns per unit length. Figure 10: Amperian loop around the solenoid Toroid Toroid is a donut-shaped coil as shown in Fig. 11. The current I passes through the coil. The magnetic field in the toroid circulates and its magnitude is constant. Consequently, it is helpful to draw an Amperian loop as the circle of radius r. The line integral along this loop becomes B dl = B dl = B dl = B 2πr. The enclosed current I enc = NI where N is the number of turns. From Ampere s law, B 2πr = μ 0 NI B = μ 0NI 2πr. Figure 11: Toroid *Example 4 A cylinder of radius R carries current I uniformly distributed over the cross-section of the cylinder. Find magnetic field B(r) at distance r from the cylinder axis. Distinguish the case r > R and r < R.
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 informationPHYS152 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 informationCh 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)
More informationμ 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 informationChapter 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 informationExperiment 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 informationAmpere 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 informationChapter 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 informationChapter 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 informationLecture 27: MON 26 OCT Magnetic Fields Due to Currents II
Physics 212 Jonathan Dowling Lecture 27: MON 26 OCT Magnetic Fields Due to Currents II Jean-Baptiste Biot (1774-1862) Felix Savart (1791 1841) Electric Current: A Source of Magnetic Field Observation:
More informationMagnetic 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
More informationBiot-Savart. The equation is this:
Biot-Savart When a wire carries a current, this current produces a magnetic field in the vicinity of the wire. One way of determining the strength and direction of this field is with the Law of Biot-Savart.
More informationCh. 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 informationAmpere 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 informationMagnetic 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 informationChapter 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 informationMagnets. 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 informationThe 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 informationKey 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 informationMagnetic Fields due to Currents
s s Water, fire, air and dirt, [freaking] magnets, how do they work? - Insane Clown Posse David J. Starling Penn State Hazleton PHYS 212 Moving charges are affected by magnetic fields: F B = q v B But
More informationChapter 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 informationMarch 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 information12:40-2:40 3:00-4:00 PM
PHY294H l Professor: Joey Huston l email:huston@msu.edu l office: BPS3230 l Homework will be with Mastering Physics (and an average of 1 handwritten problem per week) Help-room hours: 12:40-2:40 Monday
More informationPhys 102 Lecture 12 Currents & magnetic fields
Phys 102 Lecture 12 Currents & magnetic fields 1 Today we will... Learn how magnetic fields are created by currents Use specific examples Long straight wire Current loop Solenoid Apply these concepts Electromagnets
More informationMagnetism. 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 informationChapter 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 informationPhysics 227: Lecture 16 Ampere s Law
Physics 227: Lecture 16 Ampere s Law Lecture 15 review: Magnetic field magnitudes for charged particle or current. Ratio of magnetic to electric force for two charged particles. Long straight wire: B =
More informationMay 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 information10/24/2012 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 informationSources of Magnetic Field
Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 28 To determine the
More informationChapter 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 informationChapter 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 informationINTRODUCTION 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 informationChapter 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 informationEvery magnet has a north pole and south pole.
Magnets - Intro The lodestone is a naturally occurring mineral called magnetite. It was found to attract certain pieces of metal. o one knew why. ome early Greek philosophers thought the lodestone had
More informationTridib s Physics Tutorials. NCERT-XII / Unit- 4 Moving charge and magnetic field
MAGNETIC FIELD DUE TO A CURRENT ELEMENT The relation between current and the magnetic field, produced by it is magnetic effect of currents. The magnetic fields that we know are due to currents or moving
More informationChapter 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 informationPhysics 2212 G Quiz #4 Solutions Spring 2018 = E
Physics 2212 G Quiz #4 Solutions Spring 2018 I. (16 points) The circuit shown has an emf E, three resistors with resistance, and one resistor with resistance 3. What is the current through the resistor
More informationCHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY NH-67, TRICHY MAIN ROAD, PULIYUR, C.F , KARUR DT.
CHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY NH-67, TRICHY MAIN ROAD, PULIYUR, C.F. 639 114, KARUR DT. DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING COURSE MATERIAL Subject Name: Electromagnetic
More informationPSI 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 information18. Ampere s law and Gauss s law (for B) Announcements: This Friday, Quiz 1 in-class and during class (training exam)
18. Ampere s law and Gauss s law (for B) Announcements: This Friday, Quiz 1 in-class and during class (training exam) Where does a B-field come from? Facts: Electrical current produces a magnetic field
More informationPHYS ND semester Dr. Nadyah Alanazi. Lecture 16
1 PHYS 104 2 ND semester 1439-1440 Dr. Nadyah Alanazi Lecture 16 2 Chapter 29 Magnetic Field 29.1 Magnetic Fields and Forces 29.2 Magnetic Force Acting on a Current-Carrying Conductor 29.4 Motion of a
More informationThe Direction of Magnetic Field. Neil Alberding (SFU Physics) Physics 121: Optics, Electricity & Magnetism Spring / 16
The Direction of Magnetic Field Neil Alberding (SFU Physics) Physics 121: Optics, Electricity & Magnetism Spring 2010 1 / 16 The Magnetic Field We introduced electric field to explain-away long-range electric
More informationAMPERE'S LAW. B dl = 0
AMPERE'S LAW The figure below shows a basic result of an experiment done by Hans Christian Oersted in 1820. It shows the magnetic field produced by a current in a long, straight length of current-carrying
More informationMagnetostatic Fields. Dr. Talal Skaik Islamic University of Gaza Palestine
Magnetostatic Fields Dr. Talal Skaik Islamic University of Gaza Palestine 01 Introduction In chapters 4 to 6, static electric fields characterized by E or D (D=εE) were discussed. This chapter considers
More informationChapter 24. Magnetic Fields
Chapter 24 Magnetic Fields 1 Magnetic Poles Every magnet, regardless of its shape, has two poles Called north and south poles Poles exert forces on one another Similar to the way electric charges exert
More informationPHYS 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 information1-1 Magnetism. q ν B.(1) = q ( ) (2)
1-1 Magnetism Magnets exert forces on each other just like charges. You can draw magnetic field lines just like you drew electric field lines. Magnetic north and south pole s behavior is not unlike electric
More informationPhysics 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 informationThe Steady Magnetic Fields
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
More informationSENIOR_ 2017_CLASS_12_PHYSICS_ RAPID REVISION_1_ DERIVATIONS IN FIRST FIVE LESSONS Page 1
INDIAN SCHOOL MUSCAT Department of Physics Class XII Rapid Revision -1 DERIVATIONS IN FIRST FIVE LESSONS 1) Field due to an infinite long straight charged wire Consider an uniformly charged wire of infinite
More informationPhysics 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 informationForce between parallel currents Example calculations of B from the Biot- Savart field law Ampère s Law Example calculations
Today in Physics 1: finding B Force between parallel currents Example calculations of B from the Biot- Savart field law Ampère s Law Example calculations of B from Ampère s law Uniform currents in conductors?
More informationPhysics 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 informationPhysics / 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
More informationCHAPTER 30: Sources of Magnetic Fields
CHAPTER 30: Sources of Magnetic Fields Cern s singlewalled coil operates at 7600 amps and produces a 2.0 Tesla B-fld. http://atlasmagnet.web.ce rn.ch/atlasmagnet/info/ project/ ATLAS_Magn et_leafletds.pdf
More informationAnnouncements This week:
Announcements This week: Homework due Thursday March 22: Chapter 26 sections 3-5 + Chapter 27 Recitation on Friday March 23: Chapter 27. Quiz on Friday March 23: Homework, Lectures 12, 13 and 14 Properties
More informationB 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 informationPHYSICS. 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 informationGeneral Physics II. Magnetism
General Physics II Magnetism Bar magnet... two poles: N and S Like poles repel; Unlike poles attract. Bar Magnet Magnetic Field lines [B]: (defined in a similar way as electric field lines, direction and
More informationMagnetostatics 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 informationLorentz Force. Velocity Selector
Lecture 9-1 Lorentz Force Let E and denote the electric and magnetic vector fields. The force F acting on a point charge q, moving with velocity v in the superimosed E fields is: F qe v This is called
More informationLECTURE 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 informationGravity Electromagnetism Weak Strong
19. Magnetism 19.1. Magnets 19.1.1. Considering the typical bar magnet we can investigate the notion of poles and how they apply to magnets. 19.1.1.1. Every magnet has two distinct poles. 19.1.1.1.1. N
More informationMODULE 4.2 MAGNETISM ELECTRIC CURRENTS AND MAGNETISIM VISUAL PHYSICS ONLINE
VISUAL PHYSICS ONLINE MODULE 4.2 MAGNETISM ELECTRIC CURRENTS AND MAGNETISIM When electric charges are in motion they exert forces on each other that can t be explained by Coulomb s law. If two parallel
More informationMagnetic 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 informationMagnetic 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 informationMagnetic Forces and Fields (Chapters 29-30)
Magnetic Forces and Fields (Chapters 29-30) Magnetism Magnetic Materials and Sources Magnetic Field, Magnetic Force Force on Moving Electric Charges Lorentz Force Force on Current Carrying Wires Applications
More informationn Higher Physics 1B (Special) (PHYS1241) (6UOC) n Advanced Science n Double Degree (Science/Engineering) n Credit or higher in Physics 1A
Physics in Session 2: I n Physics / Higher Physics 1B (PHYS1221/1231) n Science, dvanced Science n Engineering: Electrical, Photovoltaic,Telecom n Double Degree: Science/Engineering n 6 UOC n Waves n Physical
More informationMagnetic Fields Permanent Magnets
1 Magnetic Fields Permanent Magnets Magnetic fields are continuous loops leaving a North pole and entering a South pole they point in direction that an isolated North would move Highest strength near poles
More informationCHAPTER 30. Answer to Checkpoint Questions. 1. (a), (c), (b) 2. b, c, a 3. d, tie of a and c, then b 4. (d), (a), tie of (b) and (c) (zero)
800 CHAPTER 30 AMPERE S LAW CHAPTER 30 Answer to Checkpoint Questions. (a), (c), (b). b, c, a 3. d, tie of a and c, then b. (d), (a), tie of (b) and (c) (zero) Answer to Questions. (c), (d), then (a) and
More informationIII.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 informationCurrents (1) Line charge λ (C/m) with velocity v : in time t, This constitutes a current I = λv (vector). Magnetic force on a segment of length dl is
Magnetostatics 1. Currents 2. Relativistic origin of magnetic field 3. Biot-Savart law 4. Magnetic force between currents 5. Applications of Biot-Savart law 6. Ampere s law in differential form 7. Magnetic
More informationPhysics 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
More informationMagnetostatics Surface Current Density. Magnetostatics Surface Current Density
Magnetostatics Surface Current Density A sheet current, K (A/m ) is considered to flow in an infinitesimally thin layer. Method 1: The surface charge problem can be treated as a sheet consisting of a continuous
More informationThe Steady Magnetic Field
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
More informationPhysics 4B Chapter 29: Magnetic Fields Due to Currents
Physics 4B Chapter 29: Magnetic Fields Due to Currents Nothing can bring you peace but yourself. Ralph Waldo Emerson The foolish man seeks happiness in the distance, the wise man grows it under his feet.
More informationElectrics. Electromagnetism
Electrics Electromagnetism Electromagnetism Magnetism is associated with charges in motion (currents): microscopic currents in the atoms of magnetic materials. macroscopic currents in the windings of an
More informationB 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 informationMagnetic 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 informationA = Qinside. E d. Today: fundamentals of how currents generate magnetic fields 10/7/15 2 LECTURE 14. Our Study of Magnetism
LECTUE 4 Fundamental Laws for Calculating B-field Biot-Savart Law ( brute force Ampere s Law ( high symmetry Example: B-field of an nfinite Straight Wire from Biot-Savart Law from Ampere s Law Other examples
More informationPhysics 2212 GH Quiz #4 Solutions Spring 2016
Physics 2212 GH Quiz #4 Solutions Spring 2016 I. (18 points) A bar (mass m, length L) is connected to two frictionless vertical conducting rails with loops of wire, in the presence of a uniform magnetic
More information/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 informationChapter 21. Magnetic Forces and Magnetic Fields
Chapter 21 Magnetic Forces and Magnetic Fields 21.1 Magnetic Fields The needle of a compass is permanent magnet that has a north magnetic pole (N) at one end and a south magnetic pole (S) at the other.
More informationChapter 19. Magnetism
Chapter 19 Magnetism Magnetic Fields and Forces Fundamentally they do not exist If we had special relativity we would find there is no such thing as a magnetic field. It is only a relativistic transformation
More informationChapter 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 informationMOVING CHARGES AND MAGNETISM
4 MOVING CHARGES AND MAGNETISM Moving charges can produce magnetic field. Magnetic field is produced around current carrying conductors also. The SI unit of magnetic induction (magnetic field intensity
More informationSet of sure shot questions of Magnetic effect of Current for class XII CBSE Board Exam Reg.
Set of sure shot questions of Magnetic effect of Current for class XII CBSE Board Exam. 2016- Reg. 1 Two Parallel Conducting wires carrying current in the same direction attract each other.why? I 1 A B
More informationChapter 30 Solutions
Chapter 30 Solutions 30.1 B µ 0I R µ 0q(v/π R) R 1.5 T *30. We use the Biot-Savart law. For bits of wire along the straight-line sections, ds is at 0 or 180 to ~, so ds ~ 0. Thus, only the curved section
More informationMagnetism is associated with charges in motion (currents):
Electrics Electromagnetism Electromagnetism Magnetism is associated with charges in motion (currents): microscopic currents in the atoms of magnetic materials. macroscopic currents in the windings of an
More informationChapter 5. Magnetostatics
Chapter 5. Magnetostatics 5.1 The Lorentz Force Law 5.1.1 Magnetic Fields Consider the forces between charges in motion Attraction of parallel currents and Repulsion of antiparallel ones: How do you explain
More informationOutside 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 informationPhysics 202, Lecture 13. Today s Topics
Physics 202, Lecture 13 Tody s Topics Sources of the Mgnetic Field (Ch. 30) Clculting the B field due to currents Biot-Svrt Lw Emples: ring, stright wire Force between prllel wires Ampere s Lw: infinite
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 8 Electricity and Magnetism 1. Magnetism Application of magnetic forces Ampere s law 2. Induced voltages and induction Magnetic flux http://www.physics.wayne.edu/~alan/2140website/main.htm
More informationMagnetic 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 informationAAST/AEDT. As you can see there is an analogy between electric and magnetic fields
AAST/AEDT 1 AP PHYSICS-C: MAGNETIC FIELD Let us run an experiment. We place two parallel wires close to each other. If we turn the current on, the wires start to interact. If currents are opposite by their
More informationMagnetic Materials. 1. Magnetization 2. Potential and field of a magnetized object
Magnetic Materials 1. Magnetization 2. Potential and field of a magnetized object 3. H-field 4. Susceptibility and permeability 5. Boundary conditions 6. Magnetic field energy and magnetic pressure 1 Magnetic
More informationMagnetic Fields and Forces
Nicholas J. Giordano www.cengage.com/physics/giordano Chapter 20 Magnetic Fields and Forces Marilyn Akins, PhD Broome Community College Magnetism Magnetic fields are produced by moving electric charges
More informationHomework 6 solutions PHYS 212 Dr. Amir
Homework 6 solutions PHYS 1 Dr. Amir Chapter 8 18. (II) A rectangular loop of wire is placed next to a straight wire, as shown in Fig. 8 7. There is a current of.5 A in both wires. Determine the magnitude
More informationCalculus 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
More information