Faraday s Law of Electromagnetic Induction

Size: px
Start display at page:

Download "Faraday s Law of Electromagnetic Induction"

Transcription

1 Faraday s Law of Electromagnetic Induction 2.1 Represent and reason The rectangular loop with a resistor is pulled at constant velocity through a uniform external magnetic field that points into the paper in the regions shown with the crosses (x). Complete the table that follows to determine qualitatively the shape of the induced current-versus-time graph. Draw a qualitative fluxversus-time graph for the process (positive direction in and negative direction out). Draw a qualitative induced magnetic fieldversus-time graph for the process. Draw a qualitative induced currentversus-time graph for the process. Flux Φ Induced magnetic field B ind Induced current I t 1 t 2 t 3 t 4 t 1 t 2 t 3 t 4 t 1 t 2 t 3 t 4 Time t Time t Time t

2 2.2 Observe and explain In the table below, the results of four experiments are shown in which a changing magnetic field produced by an electromagnet passes through a loop. This changing B field causes a changing flux Φ through the loop and an induced current i ind around the loop of resistance R. The product i ind R is also plotted as a function of time. (a) Draw another graph in the table cells that shows the induced emf ε ind in the loop. Coil resistance is 1.0 Ω. Coil resistance is 3.0 Ω. i i ind (A) i ind (A) 0.10 i ind R (A Ω) i ind R (A Ω) Coil resistance is 2.0 Ω. Coil resistance is 6.0 Ω. i in (A) i in (A) i in R (A Ω) 0.10 i in R (A Ω) 0 0 (b) Devise a relationship between ΔΦ/Δt and ε ind. Do not forget the sign!

3 2.3 Observe and explain The analysis of the following experiment provides an expression for the potential difference produced in a loop moving into, through, and out of a magnetic field. This is called motional emf. Experiment Analysis Analysis A metal bar of length L moves at constant velocity through a magnetic field that points into the paper (the crosses). (a) Indicate on the bar how the magnetic force of the field on charges in the bar redistributes charge in the bar. (b) This charge redistribution, which occurs quickly, produces an electric field inside the bar that prevents further charge redistribution. Draw the E-field lines. (c) Apply Newton s second law for a charge in the (d) Use the expression that relates electric field E y middle of the bar now in an E field and a B field. and the potential difference over a distance V/L with the previous results to determine an expression for the potential difference (emf) across the ends of the bar. (e) Below, you see a rectangular metal conductor entering the magnetic field, completely in the magnetic field, and leaving the magnetic field described above. Use the results of (a) and (b) to draw charge distributions on the front and back vertical parts of the rectangle due to the force of the magnetic field on charge in the metal. Note: The magnetic field only exerts forces on charge in the metal parts that are in the field, not on those outside the fields. Will current flow? If so, indicate the direction. (f) Use the results of (d) to write an expression for the potential difference induced around the rectangular metal conductor while entering the field. (g) Use the results of (d) to write an expression for the potential difference induced around the rectangular metal conductor when completely in the field. Note that there are now charge distributions that cancel. (h) Use the results of (d) to write an expression for the potential difference induced around the rectangular metal conductor while leaving the field.

4 2.4 Observe and explain We repeat the previous activity, only this time using ideas of flux and induced emf. When you are finished, check to see if the results are consistent with those in Activity 2.3. The same rectangular metal conductor as in Activity 2.3e is entering the magnetic field, completely in the magnetic field, and leaving a magnetic field that points into the paper. (a) Draw a graph showing the magnetic flux through the opening of the metal conductor as a function of time while the rectangle is entering the magnetic field, completely in the magnetic field, and leaving the magnetic field. Then use the flux graph to make a graph of the induced emf for the same time interval. Φ t ε in Entering In field Leaving t (b) Write an expression for the changing flux as the rectangle enters the field. Then use this expression to determine the emf while the rectangle is entering the field. (c) Write an expression for the changing flux as the rectangle is completely in the field. Then use this expression to determine the emf while the rectangle is in the field. (d) Compare the expressions in (b) and (c) with the expressions determined in 2.3 f and g. (We skip the calculation for when the rectangle is leaving the field it s a little more messy.) Did you know? Before moving forward, you should know the following: magnetic flux: Φ = AB cos θ (units: [T*m 2 ] = [Wb] Weber) Faraday s law of electromagnetic induction: The average magnitude of the induced emf ε ind in a coil with N loops is the magnitude of the ratio of the magnetic flux change in the loop ΔΦ to the time interval t during which that flux change occurred multiplied by the number N of loops: ε ind = N ΔΦ / Δt Lenz s law: the direction of an induced current is such that its induced magnetic field opposes the change in the external magnetic flux that caused the induced current.

5 2.5 Reason The magnitude of the magnetic field in each situation described below is 0.50 T. For each situation, in the table that follows write an expression for the magnetic flux through the loop. Situation Loop and B r in the plane of the paper. Write an expression for the flux Loop perpendicular to the paper and r B in plane of the paper Loop in the plane of the paper Square loop of side a in the plane of the paper. r B into the paper. x x x x x x x x 37 o x

6 2.6 Represent and reason Four situations are shown in which the external flux through a loop is plotted as a function of time. In the table that follows, draw another graph that shows the induced emf in the loop as a function of time. 0.4 T m 2 T m 2 0 s 1 s 2 s 3 s 0 s 1 s 2 s 3 s 4 s s 1 s 2 s 3 s time 0 s 1 s 2 s 3 s 4 s time 0.4 T m 2 T m s 1 s 2 s 2.5 s s 1 s 2 s 3 s time + 0 s 1 s 2 s 3 s 4 s s 1 s 2 s 3 s 4 s time

7 2.7 A horizontal bar is pulled at constant velocity through an inward-pointing magnetic field. The bar slides on two horizontal, frictionless metal rails moving away from a resistor connected between their ends. Derive an expression for the induced current through the resistor of resistance R in terms of any or all quantities that you choose to include in a sketch of this system. Be sure to identify the quantities in the sketch. a. Draw top view sketches showing the rails and the bar location at an initial time and at a later time. Include symbols for quantities involved in the problem. b. Describe the assumptions you are you making. c. Draw a flux vs clock reading graph. d. Draw a consistent emf-versus-clock reading graph e. Represent flux and emf mathematically. f. Combine the mathematical representation with Ohm s law to get the desired expression for the current. 2.8 Consider the situation above, but with the bar moving toward the resistor instead. An external force does work as the movable bar moves, and this work is converted to electrical energy. Because the circuit is in a magnetic field, the flux through it changes with time, inducing a current. a. What is the direction of the induced current in the resistor? b. If the bar is 20 cm long and is pulled at a steady speed of 10 cm/s, what is the induced current if the resistor has a value of 5.0 Ω and the circuit is in a uniform magnetic field of 0.25 T? Did you know? Motional emf: An electric potential difference is produced between two points that depends on the magnitude of the electric field, E, in the rod and the distance L between the two ends ε motional emf = EL = vbl For problems involving conducting objects moving in a magnetic field, we can use either Faraday s law or the motional emf expression to determine the emf produced. Both methods yield the same result.

Can a Magnetic Field Produce a Current?

Can a Magnetic Field Produce a Current? Can a Magnetic Field Produce a Current? In our study of magnetism we learned that an electric current through a wire, or moving electrically charged objects, produces a magnetic field. Could the reverse

More information

Can a Magnetic Field Produce a Current?

Can a Magnetic Field Produce a Current? Can a Magnetic Field Produce a Current? In our study of magnetism we learned that an electric current through a wire, or moving electrically charged objects, produces a magnetic field. Could the reverse

More information

General Physics II. Electromagnetic Induction and Electromagnetic Waves

General Physics II. Electromagnetic Induction and Electromagnetic Waves General Physics II Electromagnetic Induction and Electromagnetic Waves 1 Induced emf We have seen that an electric current produces a magnetic field. Michael Faraday demonstrated that a magnetic field

More information

PHYSICS - GIANCOLI CALC 4E CH 29: ELECTROMAGNETIC INDUCTION.

PHYSICS - GIANCOLI CALC 4E CH 29: ELECTROMAGNETIC INDUCTION. !! www.clutchprep.com CONCEPT: ELECTROMAGNETIC INDUCTION A coil of wire with a VOLTAGE across each end will have a current in it - Wire doesn t HAVE to have voltage source, voltage can be INDUCED i V Common

More information

Electromagnetic Induction Practice Problems Homework PSI AP Physics B

Electromagnetic Induction Practice Problems Homework PSI AP Physics B Electromagnetic Induction Practice Problems Homework PSI AP Physics B Name Multiple Choice Questions 1. A square loop of wire is placed in a uniform magnetic field perpendicular to the magnetic lines.

More information

DO PHYSICS ONLINE MOTORS AND GENERATORS FARADAY S LAW ELECTROMAGNETIC INDUCTION

DO PHYSICS ONLINE MOTORS AND GENERATORS FARADAY S LAW ELECTROMAGNETIC INDUCTION DO PHYSICS ONLINE MOTORS AND GENERATORS FARADAY S LAW ELECTROMAGNETIC INDUCTION English Michael Faraday (1791 1867) who experimented with electric and magnetic phenomena discovered that a changing magnetic

More information

Demo: Solenoid and Magnet. Topics. Chapter 22 Electromagnetic Induction. EMF Induced in a Moving Conductor

Demo: Solenoid and Magnet. Topics. Chapter 22 Electromagnetic Induction. EMF Induced in a Moving Conductor Topics Chapter 22 Electromagnetic Induction EMF Induced in a Moving Conductor Magnetic Flux EMF Induced in a Moving Conductor Demo: Solenoid and Magnet v 1 EMF Induced in a Moving Conductor q Work done

More information

Agenda for Today. Elements of Physics II. Forces on currents

Agenda for Today. Elements of Physics II. Forces on currents Forces on currents Physics 132: Lecture e 14 Elements of Physics II Agenda for Today Currents are moving charges Torque on current loop Torque on rotated loop Currents create B-fields Adding magnetic fields

More information

C. Incorrect! Use the formula for magnetic flux. This is the product of magnetic field, times area, times the angle between them.

C. Incorrect! Use the formula for magnetic flux. This is the product of magnetic field, times area, times the angle between them. AP Physics - Problem Drill 17: Electromagnetism Instruction: (1) Read the problem statement and answer choices carefully (2) Work the problems on paper as 1. A house has a wall that has an area of 28 m

More information

PHYS102 Previous Exam Problems. Induction

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

More information

AP* Magnetism Free Response Questions

AP* Magnetism Free Response Questions AP* Magnetism Free Response Questions 1978 Q4 ELECTROMAGNETISM 4. Two parallel conducting rails, separated by a distance L of 2 meters, are connected through a resistance R of 3 ohms as shown above. A

More information

Electromagnetic Induction and Faraday s Law

Electromagnetic Induction and Faraday s Law Electromagnetic Induction and Faraday s Law Induced EMF Almost 200 years ago, Faraday looked for evidence that a magnetic field would induce an electric current with this apparatus: He found no evidence

More information

Faraday s Law; Inductance

Faraday s Law; Inductance This test covers Faraday s Law of induction, motional emf, Lenz s law, induced emf and electric fields, eddy currents, self-inductance, inductance, RL circuits, and energy in a magnetic field, with some

More information

AP Physics Electromagnetic Wrap Up

AP Physics Electromagnetic Wrap Up AP Physics Electromagnetic Wrap Up Here are the glorious equations for this wonderful section. This is the equation for the magnetic force acting on a moving charged particle in a magnetic field. The angle

More information

Electromagnetic Induction (Chapters 31-32)

Electromagnetic Induction (Chapters 31-32) Electromagnetic Induction (Chapters 31-3) The laws of emf induction: Faraday s and Lenz s laws Inductance Mutual inductance M Self inductance L. Inductors Magnetic field energy Simple inductive circuits

More information

Chapter 27, 28 & 29: Magnetism & Electromagnetic Induction. Magnetic flux Faraday s and Lenz s law Electromagnetic Induction Ampere s law

Chapter 27, 28 & 29: Magnetism & Electromagnetic Induction. Magnetic flux Faraday s and Lenz s law Electromagnetic Induction Ampere s law Chapter 27, 28 & 29: Magnetism & Electromagnetic Induction Magnetic flux Faraday s and Lenz s law Electromagnetic Induction Ampere s law 1 Magnetic Flux and Faraday s Law of Electromagnetic Induction We

More information

FARADAY S AND LENZ LAW B O O K P G

FARADAY S AND LENZ LAW B O O K P G FARADAY S AND LENZ LAW B O O K P G. 4 3 6-438 MOTIONAL EMF AND MAGNETIC FLUX (DERIVIATION) Motional emf = vbl Let a conducting rod being moved through a magnetic field B During time t 0 the rod has been

More information

Faraday s Law. Lecture 17. Chapter 33. Physics II. Course website:

Faraday s Law. Lecture 17. Chapter 33. Physics II. Course website: Lecture 17 Chapter 33 Physics II Faraday s Law Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Lecture Capture: http://echo360.uml.edu/danylov201415/physics2spring.html Electromagnetic

More information

Faraday s Law. Lecture 17. Chapter 33. Physics II. Course website:

Faraday s Law. Lecture 17. Chapter 33. Physics II. Course website: Lecture 17 Chapter 33 Physics II Faraday s Law Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Electromagnetic induction We saw that a magnetic field could be produced with an

More information

Chapter 23 Magnetic Flux and Faraday s Law of Induction

Chapter 23 Magnetic Flux and Faraday s Law of Induction Chapter 23 Magnetic Flux and Faraday s Law of Induction Recall: right hand rule 2 10/28/2013 Units of Chapter 23 Induced Electromotive Force Magnetic Flux Faraday s Law of Induction Lenz s Law Mechanical

More information

ELECTROMAGNETIC INDUCTION AND FARADAY S LAW

ELECTROMAGNETIC INDUCTION AND FARADAY S LAW ELECTROMAGNETIC INDUCTION AND FARADAY S LAW Magnetic Flux The emf is actually induced by a change in the quantity called the magnetic flux rather than simply py by a change in the magnetic field Magnetic

More information

ElectroMagnetic Induction

ElectroMagnetic Induction ElectroMagnetic Induction Physics 1 What is E/M Induction? Electromagnetic Induction is the process of using magnetic fields to produce voltage, and in a complete circuit, a current. Michael Faraday first

More information

Chapter 21 Magnetic Induction Lecture 12

Chapter 21 Magnetic Induction Lecture 12 Chapter 21 Magnetic Induction Lecture 12 21.1 Why is it called Electromagnetism? 21.2 Magnetic Flux and Faraday s Law 21.3 Lenz s Law and Work-Energy Principles 21.4 Inductance 21.5 RL Circuits 21.6 Energy

More information

Motional EMF. Toward Faraday's Law. Phys 122 Lecture 21

Motional EMF. Toward Faraday's Law. Phys 122 Lecture 21 Motional EMF Toward Faraday's Law Phys 122 Lecture 21 Move a conductor in a magnetic field Conducting rail 1. ar moves 2. EMF produced 3. Current flows 4. ulb glows The ig Idea is the induced emf When

More information

CHAPTER 5 ELECTROMAGNETIC INDUCTION

CHAPTER 5 ELECTROMAGNETIC INDUCTION CHAPTER 5 ELECTROMAGNETIC INDUCTION 1 Quick Summary on Previous Concepts Electrostatics Magnetostatics Electromagnetic Induction 2 Cases of Changing Magnetic Field Changing Field Strength in a Loop A Loop

More information

FXA 2008 Φ = BA. Candidates should be able to : Define magnetic flux. Define the weber (Wb). Select and use the equation for magnetic flux :

FXA 2008 Φ = BA. Candidates should be able to : Define magnetic flux. Define the weber (Wb). Select and use the equation for magnetic flux : 1 Candidates should be able to : Define magnetic flux. Define the weber (Wb). Select and use the equation for magnetic flux : Φ = BAcosθ MAGNETIC FLUX (Φ) As we have already stated, a magnetic field is

More information

Ch. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies

Ch. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies Ch. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies Induced emf - Faraday s Experiment When a magnet moves toward a loop of wire, the ammeter shows the presence of a current When

More information

LECTURE 17. Reminder Magnetic Flux

LECTURE 17. Reminder Magnetic Flux LECTURE 17 Motional EMF Eddy Currents Self Inductance Reminder Magnetic Flux Faraday s Law ε = dφ B Flux through one loop Φ B = BAcosθ da Flux through N loops Φ B = NBAcosθ 1 Reminder How to Change Magnetic

More information

PHYSICS. Chapter 30 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS. Chapter 30 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 30 Lecture RANDALL D. KNIGHT Chapter 30 Electromagnetic Induction IN THIS CHAPTER, you will learn what electromagnetic induction is

More information

PHYSICS Fall Lecture 15. Electromagnetic Induction and Faraday s Law

PHYSICS Fall Lecture 15. Electromagnetic Induction and Faraday s Law PHYSICS 1444-001 Fall 2012 Lecture 15 Electromagnetic Induction and Faraday s Law A current can be produced by a changing magnetic field First shown in an experiment by Michael Faraday Induced emf A primary

More information

AP Physics C - E & M

AP Physics C - E & M AP Physics C - E & M Electromagnetic Induction 2017-07-14 www.njctl.org Table of Contents: Electromagnetic Induction Click on the topic to go to that section. Induced EMF Magnetic Flux and Gauss's Law

More information

Chapter 23: Magnetic Flux and Faraday s Law of Induction

Chapter 23: Magnetic Flux and Faraday s Law of Induction Chapter 3: Magnetic Flux and Faraday s Law of Induction Answers Conceptual Questions 6. Nothing. In this case, the break prevents a current from circulating around the ring. This, in turn, prevents the

More information

Physics 201. Professor P. Q. Hung. 311B, Physics Building. Physics 201 p. 1/1

Physics 201. Professor P. Q. Hung. 311B, Physics Building. Physics 201 p. 1/1 Physics 201 p. 1/1 Physics 201 Professor P. Q. Hung 311B, Physics Building Physics 201 p. 2/1 Magnetic flux What is a magnetic flux? This is very similar to the concept of an electric flux through an area

More information

CHAPTER 5: ELECTROMAGNETIC INDUCTION

CHAPTER 5: ELECTROMAGNETIC INDUCTION CHAPTER 5: ELECTROMAGNETIC INDUCTION PSPM II 2005/2006 NO. 5 5. An AC generator consists a coil of 30 turns with cross sectional area 0.05 m 2 and resistance 100 Ω. The coil rotates in a magnetic field

More information

Revision Guide for Chapter 15

Revision Guide for Chapter 15 Revision Guide for Chapter 15 Contents tudent s Checklist Revision otes Transformer... 4 Electromagnetic induction... 4 Generator... 5 Electric motor... 6 Magnetic field... 8 Magnetic flux... 9 Force on

More information

Chapter 22. Induction

Chapter 22. Induction Chapter 22 Induction Induced emf A current can be produced by a changing magnetic field First shown in an experiment by Michael Faraday A primary coil is connected to a battery A secondary coil is connected

More information

Lecture 29: MON 03 NOV

Lecture 29: MON 03 NOV Physics 2113 Jonathan Dowling Lecture 29: MON 03 NOV Ch30.1 4 Induction and Inductance I Fender Stratocaster Solenoid Pickup Magnetic Circuit Breaker As the normal operating or "rated" current flows through

More information

PHYS 1444 Section 003 Lecture #18

PHYS 1444 Section 003 Lecture #18 PHYS 1444 Section 003 Lecture #18 Wednesday, Nov. 2, 2005 Magnetic Materials Ferromagnetism Magnetic Fields in Magnetic Materials; Hysteresis Induced EMF Faraday s Law of Induction Lenz s Law EMF Induced

More information

Physics 115. Induction Induced currents. General Physics II. Session 30

Physics 115. Induction Induced currents. General Physics II. Session 30 Physics 115 General Physics II Session 30 Induction Induced currents R. J. Wilkes Email: phy115a@u.washington.edu Home page: http://courses.washington.edu/phy115a/ 1 Lecture Schedule Today 5/23/14 2 Physics

More information

Physics 54 Lecture March 1, Micro-quiz problems (magnetic fields and forces) Magnetic dipoles and their interaction with magnetic fields

Physics 54 Lecture March 1, Micro-quiz problems (magnetic fields and forces) Magnetic dipoles and their interaction with magnetic fields Physics 54 Lecture March 1, 2012 OUTLINE Micro-quiz problems (magnetic fields and forces) Magnetic dipoles and their interaction with magnetic fields Electromagnetic induction Introduction to electromagnetic

More information

Chapter 5: Electromagnetic Induction

Chapter 5: Electromagnetic Induction Chapter 5: Electromagnetic Induction 5.1 Magnetic Flux 5.1.1 Define and use magnetic flux Magnetic flux is defined as the scalar product between the magnetic flux density, B with the vector of the area,

More information

10 Chapter. Faraday s Law of Induction

10 Chapter. Faraday s Law of Induction 10 Chapter Faraday s Law of Induction 10.1 Faraday s Law of Induction... 10-3 10.1.1 Magnetic Flux... 10-5 10.2 Motional EMF... 10-6 10.3 Faraday s Law (see also Faraday s Law Simulation in Section 10.13)...

More information

Revision Guide for Chapter 15

Revision Guide for Chapter 15 Revision Guide for Chapter 15 Contents Revision Checklist Revision otes Transformer...4 Electromagnetic induction...4 Lenz's law...5 Generator...6 Electric motor...7 Magnetic field...9 Magnetic flux...

More information

Application Of Faraday s Law

Application Of Faraday s Law Application Of Faraday s Law Dr Miguel Cavero September 2, 2014 Application Of Faraday s Law September 2, 2014 1 / 23 The PHYS120 Exam will be divided into three sections as follows: Section A: Short Questions

More information

PHYS Fields and Waves

PHYS Fields and Waves PHYS 2421 - Fields and Waves Idea: We have seen: currents can produce fields We will now see: fields can produce currents Facts: Current is produced in closed loops when the magnetic flux changes Notice:

More information

AP Physics 2 - Ch 20 Practice

AP Physics 2 - Ch 20 Practice Class: Date: AP Physics 2 - Ch 20 Practice Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A coil is wrapped with 300 turns of wire on the perimeter of

More information

Electromagnetic Induction

Electromagnetic Induction Electromagnetic Induction PHY232 Remco Zegers zegers@nscl.msu.edu Room W109 cyclotron building http://www.nscl.msu.edu/~zegers/phy232.html previously: electric currents generate magnetic field. If a current

More information

Induction_P1. 1. [1 mark]

Induction_P1. 1. [1 mark] Induction_P1 1. [1 mark] Two identical circular coils are placed one below the other so that their planes are both horizontal. The top coil is connected to a cell and a switch. The switch is closed and

More information

PHYS 1442 Section 004 Lecture #14

PHYS 1442 Section 004 Lecture #14 PHYS 144 Section 004 Lecture #14 Wednesday March 5, 014 Dr. Chapter 1 Induced emf Faraday s Law Lenz Law Generator 3/5/014 1 Announcements After class pickup test if you didn t Spring break Mar 10-14 HW7

More information

Physics 4. Magnetic Induction. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

Physics 4. Magnetic Induction. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Physics 4 Magnetic Induction Before we can talk about induction we need to understand magnetic flux. You can think of flux as the number of field lines passing through an area. Here is the formula: flux

More information

Exam 2 Solutions. PHY2054 Spring Prof. Paul Avery Prof. Pradeep Kumar Mar. 18, 2014

Exam 2 Solutions. PHY2054 Spring Prof. Paul Avery Prof. Pradeep Kumar Mar. 18, 2014 Exam 2 Solutions Prof. Paul Avery Prof. Pradeep Kumar Mar. 18, 2014 1. A series circuit consists of an open switch, a 6.0 Ω resistor, an uncharged 4.0 µf capacitor and a battery with emf 15.0 V and internal

More information

Chapter 12. Magnetism and Electromagnetism

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

More information

Electromagnetism IB 12

Electromagnetism IB 12 Electromagnetism Magnetic Field around a Bar Magnet Direction of magnetic field lines: the direction that the North pole of a small test compass would point if placed in the field (N to S) What is the

More information

Elements of Physics II. Agenda for Today. Induced EMF. Force on moving charges Induced Current Magnetic Flux Area Vector. Physics 201: Lecture 1, Pg 1

Elements of Physics II. Agenda for Today. Induced EMF. Force on moving charges Induced Current Magnetic Flux Area Vector. Physics 201: Lecture 1, Pg 1 Induced EMF Physics 132: Lecture e 21 Elements of Physics II Agenda for Today Force on moving charges Induced Current Magnetic Flux Area Vector Physics 201: Lecture 1, Pg 1 Clicker Question 11: A rectangular

More information

Review of Faraday & Lenz s Laws

Review of Faraday & Lenz s Laws Review of Faraday & Lenz s Laws For a conducting loop in a magnetic field: Faraday s Law gives the Induced EMF and Current: which way? Lenz s Law gives the direction of the induced current: Resistance

More information

Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance

Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance Lesson 7 Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance Oscillations in an LC Circuit The RLC Circuit Alternating Current Electromagnetic

More information

Physics 102, Learning Guide 4, Spring Learning Guide 4

Physics 102, Learning Guide 4, Spring Learning Guide 4 Physics 102, Learning Guide 4, Spring 2002 1 Learning Guide 4 z B=0.2 T y a R=1 Ω 1. Magnetic Flux x b A coil of wire with resistance R = 1Ω and sides of length a =0.2m and b =0.5m lies in a plane perpendicular

More information

Physics 2112 Unit 16

Physics 2112 Unit 16 Physics 2112 Unit 16 Concept: Motional EMF Unit 16, Slide 1 Your Comments Hopefully I will understand more after lecture. May be time to open the book. can we go over the conducting loop moving toward

More information

Faraday's Law ds B B G G ΦB B ds Φ ε = d B dt

Faraday's Law ds B B G G ΦB B ds Φ ε = d B dt Faraday's Law ds ds ε= d Φ dt Φ Global Review Electrostatics» motion of q in external E-field» E-field generated by Σq i Magnetostatics» motion of q and i in external -field» -field generated by I Electrodynamics»

More information

AP Physics 2 Electromagnetic Induction Multiple Choice

AP Physics 2 Electromagnetic Induction Multiple Choice Slide 1 / 50 AP Physics 2 Electromagnetic Induction Multiple Choice www.njctl.org Slide 2 / 50 1 A beam of electrons travels between two parallel coils of wire, as shown in the figures above. When the

More information

Physics Notes for Class 12 chapter 6 ELECTROMAGNETIC I NDUCTION

Physics Notes for Class 12 chapter 6 ELECTROMAGNETIC I NDUCTION 1 P a g e Physics Notes for Class 12 chapter 6 ELECTROMAGNETIC I NDUCTION Whenever the magnetic flux linked with an electric circuit changes, an emf is induced in the circuit. This phenomenon is called

More information

Lenz s Law (Section 22.5)

Lenz s Law (Section 22.5) Lenz s Law (Section 22.5) : Thursday, 25 of February 7:00 9:00 pm Rooms: Last Name Room (Armes) Seats A - F 201 122 G - R 200 221 S - Z 205 128 2016-02-21 Phys 1030 General Physics II (Gericke) 1 1) Charging

More information

COLLEGE PHYSICS Chapter 23 ELECTROMAGNETIC INDUCTION, AC CIRCUITS, AND ELECTRICAL TECHNOLOGIES

COLLEGE PHYSICS Chapter 23 ELECTROMAGNETIC INDUCTION, AC CIRCUITS, AND ELECTRICAL TECHNOLOGIES COLLEGE PHYSICS Chapter 23 ELECTROMAGNETIC INDUCTION, AC CIRCUITS, AND ELECTRICAL TECHNOLOGIES Induced emf: Faraday s Law and Lenz s Law We observe that, when a magnet is moved near a conducting loop,

More information

Electromagnetic Induction

Electromagnetic Induction Electromagnetic Induction Name Section Theory Electromagnetic induction employs the concept magnetic flux. Consider a conducting loop of area A in a magnetic field with magnitude B. The flux Φ is proportional

More information

Chapter 20: Electromagnetic Induction. PHY2054: Chapter 20 1

Chapter 20: Electromagnetic Induction. PHY2054: Chapter 20 1 Chapter 20: Electromagnetic Induction PHY2054: Chapter 20 1 Electromagnetic Induction Magnetic flux Induced emf Faraday s Law Lenz s Law Motional emf Magnetic energy Inductance RL circuits Generators and

More information

r where the electric constant

r where the electric constant 0. Coulomb s law a) Explain the concepts of electrons, protons, charged objects, charged up, gaining charge, losing charge, grounding and charge conservation. b) Describe the motion of point charges when

More information

PHYS 202 Notes, Week 6

PHYS 202 Notes, Week 6 PHYS 202 Notes, Week 6 Greg Christian February 23 & 25, 2016 Last updated: 02/25/2016 at 12:36:40 This week we learn about electromagnetic induction. Magnetic Induction This section deals with magnetic

More information

Pulling or pushing a wire through a magnetic field creates a motional EMF in the wire and a current I = E/R in the circuit.

Pulling or pushing a wire through a magnetic field creates a motional EMF in the wire and a current I = E/R in the circuit. A Generator! Pulling or pushing a wire through a magnetic field creates a motional EMF in the wire and a current I = E/R in the circuit. Neil Alberding (SFU Physics) Physics 121: Optics, Electricity &

More information

AAST/AEDT. Electromagnetic Induction. If the permanent magnet is at rest, then - there is no current in a coil.

AAST/AEDT. Electromagnetic Induction. If the permanent magnet is at rest, then - there is no current in a coil. 1 AP PHYSICS C AAST/AEDT Electromagnetic Induction Let us run several experiments. 1. A coil with wire is connected with the Galvanometer. If the permanent magnet is at rest, then - there is no current

More information

CURRENT-CARRYING CONDUCTORS / MOVING CHARGES / CHARGED PARTICLES IN CIRCULAR ORBITS

CURRENT-CARRYING CONDUCTORS / MOVING CHARGES / CHARGED PARTICLES IN CIRCULAR ORBITS PHYSICS A2 UNIT 4 SECTION 4: MAGNETIC FIELDS CURRENT-CARRYING CONDUCTORS / MOVING CHARGES / CHARGED PARTICLES IN CIRCULAR ORBITS # Questions MAGNETIC FLUX DENSITY 1 What is a magnetic field? A region in

More information

PS I AP Physics 2 Electromagnetic Induction Multiple Choice Questions

PS I AP Physics 2 Electromagnetic Induction Multiple Choice Questions PS I AP Physics 2 Electromagnetic Induction Multiple Choice Questions 1. A beam of electrons travels between two parallel coils of wire, as shown in the figures above. When the coils do not carry a current,

More information

A Generator! Neil Alberding (SFU Physics) Physics 121: Optics, Electricity & Magnetism Spring / 22

A Generator! Neil Alberding (SFU Physics) Physics 121: Optics, Electricity & Magnetism Spring / 22 A Generator! Pulling or pushing a wire through a magnetic field creates a motional EMF in the wire and a current I = E/R in the circuit. To keep the wire moving you must supply a force to overcome the

More information

Part 4: Electromagnetism. 4.1: Induction. A. Faraday's Law. The magnetic flux through a loop of wire is

Part 4: Electromagnetism. 4.1: Induction. A. Faraday's Law. The magnetic flux through a loop of wire is 1 Part 4: Electromagnetism 4.1: Induction A. Faraday's Law The magnetic flux through a loop of wire is Φ = BA cos θ B A B = magnetic field penetrating loop [T] A = area of loop [m 2 ] = angle between field

More information

PHY101: Major Concepts in Physics I

PHY101: Major Concepts in Physics I Welcome back to PHY101: Major Concepts in Physics I Photo: J. M. Schwarz Announcements In class today we will finish Chapter 20 (sections 3, 4, and 7). and then move to Chapter 13 (the first six sections).

More information

Magnetic flux. where θ is the angle between the magnetic field and the area vector. The unit of magnetic flux is the weber. 1 Wb = 1 T m 2.

Magnetic flux. where θ is the angle between the magnetic field and the area vector. The unit of magnetic flux is the weber. 1 Wb = 1 T m 2. Magnetic flux Magnetic flux is a measure of the number of magnetic field lines passing through something, such as a loop. If we define the area of the loop as a vector, with its direction perpendicular

More information

Physics 2B: Review for Celebration #2. Chapter 22: Current and Resistance

Physics 2B: Review for Celebration #2. Chapter 22: Current and Resistance Physics 2: eview for Celebration #2 Chapter 22: Current and esistance Current: q Current: I [I] amps (A) 1 A 1 C/s t Current flows because a potential difference across a conductor creates an electric

More information

Universe Video. Magnetic Materials and Magnetic Fields Lab Activity. Discussion of Magnetism and Magnetic Fields

Universe Video. Magnetic Materials and Magnetic Fields Lab Activity. Discussion of Magnetism and Magnetic Fields Date Zero Hour In Class Homework Magnetism Intro: Mechanical 1/5 Tue (A) Universe Video 1/6 Wed (B) 1/7 Thur (C) Magnetic Materials and Magnetic Fields Lab Activity 1/8 Fri (A) Discussion of Magnetism

More information

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License. University of Rhode Island DigitalCommons@URI PHY 204: Elementary Physics II Physics Course Materials 2015 16. Faraday's Law Gerhard Müller University of Rhode Island, gmuller@uri.edu Creative Commons

More information

A Level Physics B (Advancing Physics) H557/03 Practical skills in physics Sample Question Paper SPECIMEN

A Level Physics B (Advancing Physics) H557/03 Practical skills in physics Sample Question Paper SPECIMEN A Level Physics B (Advancing Physics) H557/03 Practical skills in physics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes You must have: the Data, Formulae and Relationships

More information

r where the electric constant

r where the electric constant 1.0 ELECTROSTATICS At the end of this topic, students will be able to: 10 1.1 Coulomb s law a) Explain the concepts of electrons, protons, charged objects, charged up, gaining charge, losing charge, charging

More information

a) head-on view b) side view c) side view Use the right hand rule for forces to confirm the direction of the force in each case.

a) head-on view b) side view c) side view Use the right hand rule for forces to confirm the direction of the force in each case. Electromagnetism Magnetic Force on a Wire Magnetic Field around a Bar Magnet Direction of magnetic field lines: the direction that the North pole of a small test compass would point if placed in the field

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

Physics 180B Fall 2008 Test Points

Physics 180B Fall 2008 Test Points Physics 180B Fall 2008 Test 2-120 Points Name You can cross off questions or problems worth up to15 points. Circle your answers or pu them in the box provided. 1) The diagram represents a one loop coil

More information

General Physics (PHY 2140)

General Physics (PHY 2140) General Physics (PHY 2140) Lecture 15 Electricity and Magnetism Magnetism Applications of magnetic forces Induced voltages and induction Magnetic flux and induced emf Faraday s law http://www.physics.wayne.edu/~apetrov/phy2140/

More information

Physics 9 WS M5 (rev. 1.0) Page 1

Physics 9 WS M5 (rev. 1.0) Page 1 Physics 9 WS M5 (rev. 1.0) Page 1 M-3. Faraday s Law Questions for discussion 1. In the figure below, there is a non-uniform magnetic field pointing into the page. a) If you move the metal loop to the

More information

1 Fig. 3.1 shows the variation of the magnetic flux linkage with time t for a small generator. magnetic. flux linkage / Wb-turns 1.

1 Fig. 3.1 shows the variation of the magnetic flux linkage with time t for a small generator. magnetic. flux linkage / Wb-turns 1. 1 Fig. 3.1 shows the variation of the magnetic flux linkage with time t for a small generator. 2 magnetic 1 flux linkage / 0 10 2 Wb-turns 1 2 5 10 15 t / 10 3 s Fig. 3.1 The generator has a flat coil

More information

AP Physics C Mechanics Objectives

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

More information

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 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

More information

Lecture 29: MON 02 NOV

Lecture 29: MON 02 NOV Physics 2113 Jonathan Dowling Lecture 29: MON 02 NOV Induction and Inductance I Fender Stratocaster Solenoid Pickup F a r a d a y ' s E x p e r i m e n t s I n a s e r i e s o f e x p e r i m e n t s,

More information

Physics 180B Fall 2008 Test Points

Physics 180B Fall 2008 Test Points Physics 180B Fall 2008 Test 2-120 Points Name You can cross off questions or problems worth up to15 points. Circle your answers or pu them in the box provided. 1) The Mass Spectrometer. Draw the Acclerator,

More information

Physics 11b Lecture #13

Physics 11b Lecture #13 Physics 11b Lecture #13 Faraday s Law S&J Chapter 31 Midterm #2 Midterm #2 will be on April 7th by popular vote Covers lectures #8 through #14 inclusive Textbook chapters from 27 up to 32.4 There will

More information

Chapter 30. Induction and Inductance

Chapter 30. Induction and Inductance Chapter 30 Induction and Inductance 30.2: First Experiment: 1. A current appears only if there is relative motion between the loop and the magnet (one must move relative to the other); the current disappears

More information

Electromagnetic Induction

Electromagnetic Induction Electromagnetic Induction 1 The magnet is very fragile. Exercise caution while dealing with the bar magnet. Introduction A current flow creates the magnetic field that is shown by the previous lab. Then,

More information

AP Physics C Unit 11: Electromagnetic Induction. Part 1 - Faraday s Law and Lenz s Law

AP Physics C Unit 11: Electromagnetic Induction. Part 1 - Faraday s Law and Lenz s Law AP Physics C Unit 11: Electromagnetic Induction Part 1 - Faraday s Law and Lenz s Law What is E/M Induction? Electromagnetic Induction is the process of using magnetic fields to produce voltage, and in

More information

Slide 1 / 50. Electromagnetic Induction and Faraday s Law

Slide 1 / 50. Electromagnetic Induction and Faraday s Law Slide 1 / 50 Electromagnetic Induction and Faraday s Law Slide 2 / 50 Electromagnetic Induction and Faraday s Law Induced EMF Faraday s Law of Induction Lenz s Law EMF Induced in a Moving Conductor Changing

More information

Slide 1 / 50. Slide 2 / 50. Slide 3 / 50. Electromagnetic Induction and Faraday s Law. Electromagnetic Induction and Faraday s Law.

Slide 1 / 50. Slide 2 / 50. Slide 3 / 50. Electromagnetic Induction and Faraday s Law. Electromagnetic Induction and Faraday s Law. Electromagnetic Induction and Faraday s Law Slide 1 / 50 Electromagnetic Induction and Faraday s Law Slide 2 / 50 Induced EMF Faraday s Law of Induction Lenz s Law EMF Induced in a Moving Conductor Changing

More information

Slide 1 / 24. Electromagnetic Induction 2011 by Bryan Pflueger

Slide 1 / 24. Electromagnetic Induction 2011 by Bryan Pflueger Slide 1 / 24 Electromagnetic Induction 2011 by Bryan Pflueger Slide 2 / 24 Induced Currents If we have a galvanometer attached to a coil of wire we can induce a current simply by changing the magnetic

More information

Chapter 5. Electromagnetic Induction

Chapter 5. Electromagnetic Induction Chapter 5 Electromagnetic Induction Overview In the last chapter, we studied how a current produces a magnetic field. Here we will study the reverse effect: A magnetic field can produce an electric field

More information

Induction and Inductance

Induction and Inductance Welcome Back to Physics 1308 Induction and Inductance Michael Faraday 22 September 1791 25 August 1867 Announcements Assignments for Tuesday, November 6th: - Reading: Chapter 30.6-30.8 - Watch Videos:

More information

mag ( ) 1 ). Since I m interested in the magnitude of the flux, I ll avoid the minus sign by taking the normal to point upward.

mag ( ) 1 ). Since I m interested in the magnitude of the flux, I ll avoid the minus sign by taking the normal to point upward. hysics 40 Homework olutions - Walker Chapter 3 Conceptual Questions CQ5. Before the switch is closed there is no current in the coil and therefore no netic flux through the metal ring. When the switch

More information