AP Physics C Chapter 23 Notes Yockers Faraday s Law, Inductance, and Maxwell s Equations


 Alannah Brown
 2 years ago
 Views:
Transcription
1 AP Physics C Chapter 3 Notes Yockers Faraday s aw, Inductance, and Maxwell s Equations Faraday s aw of Induction  induced current a metal wire moved in a uniform magnetic field  the charges (electrons) in the wire will experience a force  the resulting movement of charges produces a current in the wire a stationary wire loop and moving magnet  an electric current is set up as long as relative motion occurs between a magnet and a coil current can exist in a wire even when the wire is not connected to an emf Faraday s experiment  magnetic flux  galvanometer reads zero when there is no current or there is a steady current  the moment the switch is closed or opened a current is detected on the galvanometer the current produced in the secondary circuit occurs only for an instant while the magnetic field acting on the secondary coil builds from its zero value to its final value (when the switch is closed) the changing magnetic field is a result of the current in the primary circuit  an electric current can be produced by a timevarying magnetic field  an emf is induced in the secondary circuit by the changing magnetic field proportional to the number of magnetic field lines passing through an
2 area the magnetic flux through the element is da  d A is a vector perpendicular to the surface whose magnitude equals the area d A  is the magnetic field at the surface of the area d A  the SI unit of magnetic flux is the weber: 1 Wb = 1 T m  the total magnetic flux through the surface is da emf is induced in a circuit when the magnetic flux through the surface bounded by the circuit changes with time  Faraday s law of induction the emf induced in a circuit is equal to the time rate of change of magnetic flux through the circuit d if the circuit is a coil consisting of N identical and concentric loops and if the field lines pass through all the loops, then d N  the emf is increased by the factor N because all of the loops are in series  the emfs in the loops add to give the total emf if the magnetic field is uniform over the area A bounded by a loop lying in a plane, then da dacos cos da Acos Acos  = the angle between and the direction to the plane of the loop. Why? is at a maximum when plane of the loop is to is at a minimum when the plane of the loop is to enz s aw (the negative sign in Faraday s law) the polarity of the induced emf in a loop is such that it produces a current whose magnetic field opposes the change in magnetic flux through the loop. That is, the induced current is in a direction such that the induced magnetic field attempts to maintain the original flux through the loop  consistent with the continuity equation for energy  a bar moving on two parallel rails in the presence of a uniform magnetic field
3  a bar magnet moved with respect to a stationary loop of wire Motional emf arises from the motion of a conductor through a magnetic field  conducting bar of length l moves through a uniform magnetic field due to the magnetic force on the electrons, the ends of the wire become oppositely charged which establishes an electric field in the wire the charge at the ends of the conductor builds up until the magnetic force qv on an electron in the conductor is balanced by the electric force qe on the electron F Fe  F qe qv E v V E v a potential difference is maintained across the conductor as long as there is motion through the field due to charge separation if the motion is reversed, the polarity of the potential difference is also reversed the induced motional emf in the bar is
4 A x d d dx x v v if the resistance of the circuit is R, the magnitude of the induced current is v I R R  conversion of mechanical energy in the moving bar to internal energy in the resistor power is equal to the rate at which energy is delivered to the resistor power is equal to the power I supplied by the induced emf remember, F F v P F app app v v R  the emf generated by a rotating loop v R R R v R I v R I R as the loop rotates, the magnetic flux through it changes with time, inducing an emf and a current if the loop rotates with a constant angular speed in a uniform  t and v r  f Acos Acos t  the emf is at a maximum when the plane of the of the loop is parallel to the magnetic field d d N NA cos t NA sin t the induced emf is varying and is described by a sinusoidal curve (ac voltage) Induced emfs and Electric Fields  an electric field is created in a conductor as a result of changing magnetic flux  an electric field is always generated by a changing magnetic flux, even in free space where no charges are present
5  the induced current in the loop above implies the presence of an induced electric field E that must be tangent to the loop in order to provide an electric force on the charges around the loop the work done by the electric field on the loop in moving a test charge q once around the loop is equal to q because the magnitude of the electric force on the charge is qe, the work done by the electric field can also be expressed as qe r q qer E r using Faraday s law and A r for a circular loop d d r d E 1 1 r r r  this can be used to calculate the induced electric field if the time variation of the magnetic field is known  this result is also valid in the absence of a conductor or charges  the emf for any closed path can be expressed as the line integral of E ds over that path d E ds the induced electric field E in the equation above is a nonconservative field that is generated by a changing magnetic field  it is nonconservative because the work it does moving a charge around a closed path is not zero  this electric field is very different from an electrostatic field Selfinductance  current doesn t immediately jump from zero to its maximum value R as the current increases with time, the magnetic flux through the loop of the circuit
6 itself due to the current also increases with time the increasing magnetic flux from the circuit induces an emf in the circuit that opposes the change in the net magnetic flux through the loop of the circuit according to enz s law, the induced electric field in the wires must be opposite the direction of the current the opposing emf results in a gradual increase in the current  selfinduction the changing magnetic flux through the circuit arises from the circuit itself  the induced emf is, thus, called a selfinduced emf  the selfinduced emf is always proportional to the time rate of change of the current  for a closely spaced coil of N turns of fixed geometry (a toroidal coil or an ideal solenoid), the proportionality can be expressed as d di N is a proportionality constant called the inductance of the coil  depends on the geometric features of the coil and other physical characteristics  can be determined by N I  can also be written as (usually the defining equation for the inductance of any coil) di  the SI unit of inductance is the henry (H) 1 H = 1 V s/a  resistance is a measure of opposition to current, whereas inductance is a measure of opposition to the change in current R Circuits  a circuit containing a coil has a selfinductance that prevents the current from increasing or decreasing instantaneously a circuit element designed to provide inductance in a circuit is an inductor it is assumed that the selfinductance for the remainder of the circuit is negligible (for this course) a series R circuit as the current increases toward its maximum value, an emf that opposes the increasing current is induced in the inductor  as current begins to increase, after the switch is closed, the inductor produces an emf (sometimes referred to as a back emf ) that opposes the increasing current  the back emf produced by the inductor is di because the current is increasing, di is positive
7 is negative a potential drop occurs from point a to point b in the diagram above  applying Kirchhoff s loop rule, beginning at the battery di IR the potential across the inductor is given a negative sign because its emf is in the opposite sense to that of the battery  to obtain a mathematical solution to the Kirchhoff s loop rule equation di I R R letting x R I, so dx di dx x R dx R x integrating the last equation from an initial instant to some later time t gives x dx R t x R ln t x x x where the value of x at t is expressed as x R, because I at t x R ln t x x x e x x Rt e Rt which is equivalent to Rt I e R R Rt I 1 e R which is the solution for current from the Kirchhoff s loop rule equation t It 1 e R  where the constant is the time constant of the R circuit  R and has units of time (seconds) V s A V s A s R A V  the steadystate current value of the current which occurs at t is R in steadystate the change in current is zero the final current does not involve because the inductor has no effect on the circuit if the current is not changing the first time derivative of the equation above di t e  the rate of current di is a maximum (equal to ) at t and falls exponentially to zero as t
8  an R circuit containing two switches when S 1 is closed and S is open, the battery is in the circuit at the instant S is closed, S 1 is opened and the battery is no longer part of the circuit applying Kirchhoff s loop rule to the S closed S 1 open situation with the current initially at its steadystate value R di IR  the solution of this differential equation is t t It e I e R
9 the current at t is I R and R the current is continuously decreasing with time the slope of di is always negative and has its maximum value at t the negative slope signifies that di is now positive (point a in the circuit is at a lower potential than point b)
10 Energy Stored in a Magnetic Field
11  applying Kirchhoff s loop rule, beginning at the battery di IR  multiplying each term by the current I gives the rate at which energy is supplied by the battery di I I R I di I I R I I R is the rate at which energy is delivered to the resistor di I is the rate at which energy is delivered to the inductor  if U denotes the energy stored in the inductor at any time, then the rate du at which energy is transferred to the inductor can be written du di I  to find the total energy stored in an inductor at any instant U U 1 U I du I I di  an inductor stores energy in its magnetic field when the current is I Maxwell s Equations  can be regarded as the basis of all electric and magnetic phenomena  represent laws of electricity and magnetism already covered  predict the presence of electromagnetic waves traveling at c  show that electromagnetic waves are radiated by accelerating charges Gauss s law Q E da the total electric flux through any closed surface equals the net charge inside that surface divided by this law describes how charges create electric fields electric field lines originate on positive charges and terminate on negative charges Gauss s law for magnetism d A the net magnetic flux through a closed surface is zero  the number of magnetic field lines entering a closed volume must equal the number leaving  magnetic field lines cannot begin or end at any point isolated magnetic monopoles cannot exist Faraday s law of induction d d E s
12 the line integral of the electric field around any closed path (which equals the emf) equals the rate of change of magnetic flux through any surface area bounded by that path describes how a changing magnetic field creates an electric field Ampère s law (generalized form) d d I E s the line integral of the magnetic field around any closed path is determined by the net current and the rate of change of electric flux through any surface bounded by that path describes how both an electric current and a changing electric field create a magnetic field  orentz force F q E qv once the electric and magnetic fields are known at some point is space, the force those fields exert on some particle of charge q can be calculated this force and Maxwell s equations describe all classical electromagnetic interactions
Induced voltages and Inductance Faraday s Law
Induced voltages and Inductance Faraday s Law concept #1, 4, 5, 8, 13 Problem # 1, 3, 4, 5, 6, 9, 10, 13, 15, 24, 23, 25, 31, 32a, 34, 37, 41, 43, 51, 61 Last chapter we saw that a current produces a magnetic
More informationChapter 30 Inductance
Chapter 30 Inductance  Mutual Inductance  SelfInductance and Inductors  MagneticField Energy  The R Circuit  The C Circuit  The RC Series Circuit . Mutual Inductance  A changing current in
More informationInductance. Motors. Generators
Inductance Motors Generators Selfinductance Selfinductance occurs when the changing flux through a circuit arises from the circuit itself. As the current increases, the magnetic flux through a loop due
More informationEðlisfræði 2, vor 2007
[ Assignment View ] [ Print ] Eðlisfræði 2, vor 2007 30. Inductance Assignment is due at 2:00am on Wednesday, March 14, 2007 Credit for problems submitted late will decrease to 0% after the deadline has
More informationChapter 14 Magnets and
Chapter 14 Magnets and Electromagnetism How do magnets work? What is the Earth s magnetic field? Is the magnetic force similar to the electrostatic force? Magnets and the Magnetic Force! We are generally
More informationDirection of Induced Current
Direction of Induced Current Bar magnet moves through coil Current induced in coil A S N v Reverse pole Induced current changes sign B N S v v Coil moves past fixed bar magnet Current induced in coil as
More informationSlide 1 / 26. Inductance. 2011 by Bryan Pflueger
Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one
More informationElectroMagnetic Induction. AP Physics B
ElectroMagnetic Induction AP Physics B 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
More informationMarch 20. Physics 272. Spring 2014 Prof. Philip von Doetinchem
Physics 272 March 20 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  129 Summary No magnetic
More informationPhysics 126 Practice Exam #3 Professor Siegel
Physics 126 Practice Exam #3 Professor Siegel Name: Lab Day: 1. Which one of the following statements concerning the magnetic force on a charged particle in a magnetic field is true? A) The magnetic force
More information* Biot Savart s Law Statement, Proof Applications of Biot Savart s Law * Magnetic Field Intensity H * Divergence of B * Curl of B. PPT No.
* Biot Savart s Law Statement, Proof Applications of Biot Savart s Law * Magnetic Field Intensity H * Divergence of B * Curl of B PPT No. 17 Biot Savart s Law A straight infinitely long wire is carrying
More informationChapter 27 Magnetic Field and Magnetic Forces
Chapter 27 Magnetic Field and Magnetic Forces  Magnetism  Magnetic Field  Magnetic Field Lines and Magnetic Flux  Motion of Charged Particles in a Magnetic Field  Applications of Motion of Charged
More informationThe purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law.
260 171 I. THEORY EXPERIMENT 17 QUALITATIVE STUDY OF INDUCED EMF Along the extended central axis of a bar magnet, the magnetic field vector B r, on the side nearer the North pole, points away from this
More informationSolution Derivations for Capa #11
Solution Derivations for Capa #11 Caution: The symbol E is used interchangeably for energy and EMF. 1) DATA: V b = 5.0 V, = 155 Ω, L = 8.400 10 2 H. In the diagram above, what is the voltage across the
More informationMAGNETIC EFFECTS OF ELECTRIC CURRENT
CHAPTER 13 MAGNETIC EFFECT OF ELECTRIC CURRENT In this chapter, we will study the effects of electric current : 1. Hans Christian Oersted (17771851) Oersted showed that electricity and magnetism are related
More informationPhysics 1653 Exam 3  Review Questions
Physics 1653 Exam 3  Review Questions 3.0 Two uncharged conducting spheres, A and B, are suspended from insulating threads so that they touch each other. While a negatively charged rod is held near, but
More informationPhysics 2102 Lecture 19. Physics 2102
Physics 2102 Jonathan Dowling Physics 2102 Lecture 19 Ch 30: Inductors and RL Circuits Nikolai Tesla What are we going to learn? A road map Electric charge Electric force on other electric charges Electric
More informationChapter 27 Electromagnetic Induction
For us, who took in Faraday s ideas so to speak with our mother s milk, it is hard to appreciate their greatness and audacity. Albert Einstein 27.1 ntroduction Since a current in a wire produces a magnetic
More information1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole.
Exam Name 1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole. 2) Which of the following statements is correct? A) Earth's north pole is magnetic north. B) The north
More informationPhysics 2220 Module 09 Homework
Physics 2220 Module 09 Homework 01. A potential difference of 0.050 V is developed across the 10cmlong wire of the figure as it moves though a magnetic field perpendicular to the page. What are the strength
More informationApril 1. Physics 272. Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html. Prof. Philip von Doetinchem philipvd@hawaii.
Physics 272 April 1 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  164 Summary Gauss's
More informationCircuits with inductors and alternating currents. Chapter 20 #45, 46, 47, 49
Circuits with inductors and alternating currents Chapter 20 #45, 46, 47, 49 RL circuits Ch. 20 (last section) Symbol for inductor looks like a spring. An inductor is a circuit element that has a large
More information1. The diagram below represents magnetic lines of force within a region of space.
1. The diagram below represents magnetic lines of force within a region of space. 4. In which diagram below is the magnetic flux density at point P greatest? (1) (3) (2) (4) The magnetic field is strongest
More informationElectromagnetic Induction
Electromagnetic Induction Lecture 29: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay Mutual Inductance In the last lecture, we enunciated the Faraday s law according to
More informationLecture 22. Inductance. Magnetic Field Energy. Outline:
Lecture 22. Inductance. Magnetic Field Energy. Outline: Selfinduction and selfinductance. Inductance of a solenoid. The energy of a magnetic field. Alternative definition of inductance. Mutual Inductance.
More informationEdmund Li. Where is defined as the mutual inductance between and and has the SI units of Henries (H).
INDUCTANCE MUTUAL INDUCTANCE If we consider two neighbouring closed loops and with bounding surfaces respectively then a current through will create a magnetic field which will link with as the flux passes
More informationAP2 Magnetism. (c) Explain why the magnetic field does no work on the particle as it moves in its circular path.
A charged particle is projected from point P with velocity v at a right angle to a uniform magnetic field directed out of the plane of the page as shown. The particle moves along a circle of radius R.
More informationHomework #11 20311721 Physics 2 for Students of Mechanical Engineering
Homework #11 20311721 Physics 2 for Students of Mechanical Engineering 2. A circular coil has a 10.3 cm radius and consists of 34 closely wound turns of wire. An externally produced magnetic field of
More informationChapter 11. Inductors ISU EE. C.Y. Lee
Chapter 11 Inductors Objectives Describe the basic structure and characteristics of an inductor Discuss various types of inductors Analyze series inductors Analyze parallel inductors Analyze inductive
More informationCHAPTER  1. Chapter ONE: WAVES CHAPTER  2. Chapter TWO: RAY OPTICS AND OPTICAL INSTRUMENTS. CHAPTER  3 Chapter THREE: WAVE OPTICS PERIODS PERIODS
BOARD OF INTERMEDIATE EDUCATION, A.P., HYDERABAD REVISION OF SYLLABUS Subject PHYSICSII (w.e.f 201314) Chapter ONE: WAVES CHAPTER  1 1.1 INTRODUCTION 1.2 Transverse and longitudinal waves 1.3 Displacement
More informationInductors & Inductance. Electronic Components
Electronic Components Induction In 1824, Oersted discovered that current passing though a coil created a magnetic field capable of shifting a compass needle. Seven years later, Faraday and Henry discovered
More informationFall 12 PHY 122 Homework Solutions #10
Fall 12 PHY 122 Homework Solutions #10 HW10: Ch.30 Q5, 8, 15,17, 19 P 1, 3, 9, 18, 34, 36, 42, 51, 66 Chapter 30 Question 5 If you are given a fixed length of wire, how would you shape it to obtain the
More information12. The current in an inductor is changing at the rate of 100 A/s, and the inductor emf is 40 V. What is its selfinductance?
12. The current in an inductor is changing at the rate of 100 A/s, and the inductor emf is 40 V. What is its selfinductance? From Equation 325, L = E=(dI =dt) = 40 V=(100 A/s) = 0.4 H. 15. A cardboard
More informationPhysics 9 Fall 2009 Homework 8  Solutions
1. Chapter 34  Exercise 9. Physics 9 Fall 2009 Homework 8  s The current in the solenoid in the figure is increasing. The solenoid is surrounded by a conducting loop. Is there a current in the loop?
More informationUniversity of California, Berkeley Physics H7B Spring 1999 (Strovink) SOLUTION TO PROBLEM SET 10 Solutions by P. Pebler
University of California, Berkeley Physics H7B Spring 1999 (Strovink) SOLUTION TO PROBLEM SET 10 Solutions by P Pebler 1 Purcell 66 A round wire of radius r o carries a current I distributed uniformly
More informationFinal Exam (40% of grade) on Monday December 7 th 1130a230pm in York 2622 You can bring two 8.5x11 pages, front and back, of notes Calculators may
Final Exam (40% of grade) on Monday December 7 th 1130a230pm in York 2622 You can bring two 8.5x11 pages, front and back, of notes Calculators may be used multiple choice like quizzes, only longer by
More informationInductance and Magnetic Energy
Chapter 11 Inductance and Magnetic Energy 11.1 Mutual Inductance... 113 Example 11.1 Mutual Inductance of Two Concentric Coplanar Loops... 115 11. SelfInductance... 115 Example 11. SelfInductance
More informationModule 3 : Electromagnetism Lecture 13 : Magnetic Field
Module 3 : Electromagnetism Lecture 13 : Magnetic Field Objectives In this lecture you will learn the following Electric current is the source of magnetic field. When a charged particle is placed in an
More informationObjectives. Capacitors 262 CHAPTER 5 ENERGY
Objectives Describe a capacitor. Explain how a capacitor stores energy. Define capacitance. Calculate the electrical energy stored in a capacitor. Describe an inductor. Explain how an inductor stores energy.
More informationName: Date: Regents Physics Mr. Morgante UNIT 4B Magnetism
Name: Regents Physics Date: Mr. Morgante UNIT 4B Magnetism Magnetism Magnetic Force exists b/w charges in motion. Similar to electric fields, an X stands for a magnetic field line going into the page,
More informationFaraday s Law of Induction
Chapter 10 Faraday s Law of Induction 10.1 Faraday s Law of Induction...1010.1.1 Magnetic Flux...103 10.1. Lenz s Law...105 10. Motional EMF...107 10.3 Induced Electric Field...1010 10.4 Generators...101
More informationChapter 4. Magnetic Materials and Circuits
Chapter 4 Magnetic Materials and Circuits Objectives List six characteristics of magnetic field. Understand the righthand rule for current and magnetic fluxes. Define magnetic flux, flux density, magnetomotive
More informationForce on Moving Charges in a Magnetic Field
[ Assignment View ] [ Eðlisfræði 2, vor 2007 27. Magnetic Field and Magnetic Forces Assignment is due at 2:00am on Wednesday, February 28, 2007 Credit for problems submitted late will decrease to 0% after
More informationPhys222 Winter 2012 Quiz 4 Chapters 2931. Name
Name If you think that no correct answer is provided, give your answer, state your reasoning briefly; append additional sheet of paper if necessary. 1. A particle (q = 5.0 nc, m = 3.0 µg) moves in a region
More informationMagnetostatics (Free Space With Currents & Conductors)
Magnetostatics (Free Space With Currents & Conductors) Suggested Reading  Shen and Kong Ch. 13 Outline Review of Last Time: Gauss s Law Ampere s Law Applications of Ampere s Law Magnetostatic Boundary
More informationMagnetic Field of a Circular Coil Lab 12
HB 112607 Magnetic Field of a Circular Coil Lab 12 1 Magnetic Field of a Circular Coil Lab 12 Equipment coil apparatus, BK Precision 2120B oscilloscope, Fluke multimeter, Wavetek FG3C function generator,
More informationChapter 20. Magnetic Induction Changing Magnetic Fields yield Changing Electric Fields
Chapter 20 Magnetic Induction Changing Magnetic Fields yield Changing Electric Fields Introduction The motion of a magnet can induce current in practical ways. If a credit card has a magnet strip on its
More information45. The peak value of an alternating current in a 1500W device is 5.4 A. What is the rms voltage across?
PHYS Practice Problems hapters 8 hapter 8. 45. The peak value of an alternating current in a 5W device is 5.4 A. What is the rms voltage across? The power and current can be used to find the peak voltage,
More informationLast time : energy storage elements capacitor.
Last time : energy storage elements capacitor. Charge on plates Energy stored in the form of electric field Passive sign convention Vlt Voltage drop across real capacitor can not change abruptly because
More informationGenerate Electricity While Cycling
International Journal of Engineering and Technical Research (IJETR) ISSN: 23210869, Volume1, Issue7, September 2013 Generate Electricity While Cycling Shubhankar Paul Abstract This paper will propose
More informationAP R Physics C Electricity and Magnetism Syllabus
AP R Physics C Electricity and Magnetism Syllabus 1 Prerequisites and Purposes of AP R C E & M AP R Physics C Electricity and Magnetism is the second course in a twocourse sequence. It is offered in the
More informationEðlisfræði 2, vor 2007
[ Assignment View ] [ Pri Eðlisfræði 2, vor 2007 28. Sources of Magnetic Field Assignment is due at 2:00am on Wednesday, March 7, 2007 Credit for problems submitted late will decrease to 0% after the deadline
More informationElectromagnetism Laws and Equations
Electromagnetism Laws and Equations Andrew McHutchon Michaelmas 203 Contents Electrostatics. Electric E and Dfields............................................. Electrostatic Force............................................2
More information104 Practice Exam 23/21/02
104 Practice Exam 23/21/02 1. Two electrons are located in a region of space where the magnetic field is zero. Electron A is at rest; and electron B is moving westward with a constant velocity. A nonzero
More informationCET Moving Charges & Magnetism
CET 2014 Moving Charges & Magnetism 1. When a charged particle moves perpendicular to the direction of uniform magnetic field its a) energy changes. b) momentum changes. c) both energy and momentum
More informationAP Physics C: Electricity and Magnetism: Syllabus 3
AP Physics C: Electricity and Magnetism: Syllabus 3 Scoring Components SC1 SC2 SC3 SC SC5 SC6 SC7 The course provides and provides instruction in electrostatics. The course provides and provides instruction
More informationReview Questions PHYS 2426 Exam 2
Review Questions PHYS 2426 Exam 2 1. If 4.7 x 10 16 electrons pass a particular point in a wire every second, what is the current in the wire? A) 4.7 ma B) 7.5 A C) 2.9 A D) 7.5 ma E) 0.29 A Ans: D 2.
More informationMagnetic Circuits. Outline. Ampere s Law Revisited Review of Last Time: Magnetic Materials Magnetic Circuits Examples
Magnetic Circuits Outline Ampere s Law Revisited Review of Last Time: Magnetic Materials Magnetic Circuits Examples 1 Electric Fields Magnetic Fields S ɛ o E da = ρdv B V = Q enclosed S da =0 GAUSS GAUSS
More informationQuestion Details C14: Magnetic Field Direction Abbott [ ]
Phys 1114: Assignment 9 Abbott (5420633) Due: Mon Apr 7 2014 11:59 PM CDT Question 1 2 3 4 5 6 7 8 9 10 11 1. Question Details C14: Magnetic Field Direction Abbott [2861537] a) A wire is oriented horizontally
More information13 ELECTRIC MOTORS. 13.1 Basic Relations
13 ELECTRIC MOTORS Modern underwater vehicles and surface vessels are making increased use of electrical actuators, for all range of tasks including weaponry, control surfaces, and main propulsion. This
More informationChapter 7. Magnetism and Electromagnetism ISU EE. C.Y. Lee
Chapter 7 Magnetism and Electromagnetism Objectives Explain the principles of the magnetic field Explain the principles of electromagnetism Describe the principle of operation for several types of electromagnetic
More informationQuestion Bank. 1. Electromagnetism 2. Magnetic Effects of an Electric Current 3. Electromagnetic Induction
1. Electromagnetism 2. Magnetic Effects of an Electric Current 3. Electromagnetic Induction 1. Diagram below shows a freely suspended magnetic needle. A copper wire is held parallel to the axis of magnetic
More informationChapter 33. The Magnetic Field
Chapter 33. The Magnetic Field Digital information is stored on a hard disk as microscopic patches of magnetism. Just what is magnetism? How are magnetic fields created? What are their properties? These
More informationChapter 10. Faraday s Law of Induction
10 10 100 Chapter 10 Faraday s Law of Induction 10.1 Faraday s Law of Induction... 103 10.1.1 Magnetic Flux... 105 10.2 Motional EMF... 105 10.3 Faraday s Law (see also Faraday s Law Simulation in
More informationMotor Fundamentals. DC Motor
Motor Fundamentals Before we can examine the function of a drive, we must understand the basic operation of the motor. It is used to convert the electrical energy, supplied by the controller, to mechanical
More informationMagnetism. d. gives the direction of the force on a charge moving in a magnetic field. b. results in negative charges moving. clockwise.
Magnetism 1. An electron which moves with a speed of 3.0 10 4 m/s parallel to a uniform magnetic field of 0.40 T experiences a force of what magnitude? (e = 1.6 10 19 C) a. 4.8 10 14 N c. 2.2 10 24 N b.
More information"  angle between l and a R
Magnetostatic Fields According to Coulomb s law, any distribution of stationary charge produces a static electric field (electrostatic field). The analogous equation to Coulomb s law for electric fields
More informationDIRECT CURRENT GENERATORS
DIRECT CURRENT GENERATORS Revision 12:50 14 Nov 05 INTRODUCTION A generator is a machine that converts mechanical energy into electrical energy by using the principle of magnetic induction. This principle
More informationEE301 Lesson 14 Reading: 10.110.4, 10.1110.12, 11.111.4 and 11.1111.13
CAPACITORS AND INDUCTORS Learning Objectives EE301 Lesson 14 a. Define capacitance and state its symbol and unit of measurement. b. Predict the capacitance of a parallel plate capacitor. c. Analyze how
More informationChapter 22: Electric motors and electromagnetic induction
Chapter 22: Electric motors and electromagnetic induction The motor effect movement from electricity When a current is passed through a wire placed in a magnetic field a force is produced which acts on
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 12 Electricity and Magnetism Magnetism Magnetic fields and force Application of magnetic forces http://www.physics.wayne.edu/~apetrov/phy2140/ Chapter 19 1 Department
More informationMagnetic Fields and Their Effects
Name Date Time to Complete h m Partner Course/ Section / Grade Magnetic Fields and Their Effects This experiment is intended to give you some handson experience with the effects of, and in some cases
More informationCourse Syllabus: AP Physics C Electricity and Magnetism
Course Syllabus: AP Physics C Electricity and Magnetism Course Description: AP Physics C is offered as a second year physics course to students who are planning to major in the physical sciences or in
More informationMAGNETISM MAGNETISM. Principles of Imaging Science II (120)
Principles of Imaging Science II (120) Magnetism & Electromagnetism MAGNETISM Magnetism is a property in nature that is present when charged particles are in motion. Any charged particle in motion creates
More informationLesson 3 DIRECT AND ALTERNATING CURRENTS. Task. The skills and knowledge taught in this lesson are common to all missile repairer tasks.
Lesson 3 DIRECT AND ALTERNATING CURRENTS Task. The skills and knowledge taught in this lesson are common to all missile repairer tasks. Objectives. When you have completed this lesson, you should be able
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5  ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3. OUTCOME 3  MAGNETISM and INDUCTION
EDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5  ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3 OUTCOME 3  MAGNETISM and INDUCTION 3 Understand the principles and properties of magnetism Magnetic field:
More informationProf. Krishna Vasudevan, Prof. G. Sridhara Rao, Prof. P. Sasidhara Rao. D.C Machines
D.C Machines 1 Introduction The steam age signalled the beginning of an industrial revolution. The advantages of machines and gadgets in helping mass production and in improving the services spurred the
More informationPhysics 112 Homework 5 (solutions) (2004 Fall) Solutions to Homework Questions 5
Solutions to Homework Questions 5 Chapt19, Problem2: (a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields in Figure P19.2, as shown. (b) Repeat
More informationPHYS 222 Spring 2012 Final Exam. Closed books, notes, etc. No electronic device except a calculator.
PHYS 222 Spring 2012 Final Exam Closed books, notes, etc. No electronic device except a calculator. NAME: (all questions with equal weight) 1. If the distance between two point charges is tripled, the
More informationCandidate Number. General Certificate of Education Advanced Level Examination June 2014
entre Number andidate Number Surname Other Names andidate Signature General ertificate of Education dvanced Level Examination June 214 Physics PHY4/1 Unit 4 Fields and Further Mechanics Section Wednesday
More informationCoupled Inductors. Introducing Coupled Inductors
Coupled Inductors From power distribution across large distances to radio transmissions, coupled inductors are used extensively in electrical applications. Their properties allow for increasing or decreasing
More informationScott Hughes 7 April 2005. Massachusetts Institute of Technology Department of Physics 8.022 Spring 2005. Lecture 15: Mutual and Self Inductance.
Scott Hughes 7 April 2005 151 Using induction Massachusetts nstitute of Technology Department of Physics 8022 Spring 2005 Lecture 15: Mutual and Self nductance nduction is a fantastic way to create EMF;
More informationCapacitors and Inductors
P517/617 ec2, P1 Capacitors and Inductors 1) Capacitance: Capacitance (C) is defined as the ratio of charge (Q) to voltage () on an object. Define capacitance by: C = Q/ = Coulombs/olt = Farad. Capacitance
More informationConceptual: 1, 3, 5, 6, 8, 16, 18, 19. Problems: 4, 6, 8, 11, 16, 20, 23, 27, 34, 41, 45, 56, 60, 65. Conceptual Questions
Conceptual: 1, 3, 5, 6, 8, 16, 18, 19 Problems: 4, 6, 8, 11, 16, 20, 23, 27, 34, 41, 45, 56, 60, 65 Conceptual Questions 1. The magnetic field cannot be described as the magnetic force per unit charge
More informationW03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören
W03 Analysis of DC Circuits Yrd. Doç. Dr. Aytaç Gören ELK 2018  Contents W01 Basic Concepts in Electronics W02 AC to DC Conversion W03 Analysis of DC Circuits (self and condenser) W04 Transistors and
More informationIntroduction to Electricity & Magnetism. Dr Lisa JardineWright Cavendish Laboratory
Introduction to Electricity & Magnetism Dr Lisa JardineWright Cavendish Laboratory Examples of uses of electricity Christmas lights Cars Electronic devices Human body Electricity? Electricity is the presence
More informationThe current that flows is determined by the potential difference across the conductor and the resistance of the conductor (Ohm s law): V = IR P = VI
PHYS1000 DC electric circuits 1 Electric circuits Electric current Charge can move freely in a conductor if an electric field is present; the moving charge is an electric current (SI unit is the ampere
More informationMagnetic Fields. I. Magnetic Field and Magnetic Field Lines
Magnetic Fields I. Magnetic Field and Magnetic Field Lines A. The concept of the magnetic field can be developed in a manner similar to the way we developed the electric field. The magnitude of the magnetic
More informationProblem Solving 8: RC and LR Circuits
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Problem Solving 8: RC and LR Circuits Section Table and Group (e.g. L04 3C ) Names Hand in one copy per group at the end of the Friday Problem
More informationNZQA registered unit standard 20431 version 2 Page 1 of 7. Demonstrate and apply fundamental knowledge of a.c. principles for electronics technicians
NZQA registered unit standard 0431 version Page 1 of 7 Title Demonstrate and apply fundamental knowledge of a.c. principles for electronics technicians Level 3 Credits 7 Purpose This unit standard covers
More informationPS6.2 Explain the factors that determine potential and kinetic energy and the transformation of one to the other.
PS6.1 Explain how the law of conservation of energy applies to the transformation of various forms of energy (including mechanical energy, electrical energy, chemical energy, light energy, sound energy,
More informationTEACHER S CLUB EXAMS GRADE 11. PHYSICAL SCIENCES: PHYSICS Paper 1
TEACHER S CLUB EXAMS GRADE 11 PHYSICAL SCIENCES: PHYSICS Paper 1 MARKS: 150 TIME: 3 hours INSTRUCTIONS AND INFORMATION 1. This question paper consists of 12 pages, two data sheets and a sheet of graph
More informationExperiment 1 The DC Machine
Experiment 1 The DC Machine ECEN 4517 R. W. Erickson and D. Maksimovic The purpose of this experiment is to become familiar with operating principles, equivalent circuit models, and basic characteristics
More informationExam 2 Solutions. PHY2054 Spring Prof. P. Kumar Prof. P. Avery March 5, 2008
Prof. P. Kumar Prof. P. Avery March 5, 008 Exam Solutions 1. Two cylindrical resistors are made of the same material and have the same resistance. The resistors, R 1 and R, have different radii, r 1 and
More informationChapter 25 Practice Problems, Review, and Assessment
Chapter 25 Practice Problems, Review, and Assessment Section 1 Inducing Currents: Practice Problems 1. You move a straight wire that is 0.5 m long at a speed of 20 m/s vertically through a 0.4T magnetic
More informationInductors. AC Theory. Module 3
Module 3 AC Theory What you ll learn in Module 3. Section 3.1 Electromagnetic Induction. Magnetic Fields around Conductors. The Solenoid. Section 3.2 Inductance & Back e.m.f. The Unit of Inductance. Factors
More informationPhysics 30 Worksheet #10 : Magnetism From Electricity
Physics 30 Worksheet #10 : Magnetism From Electricity 1. Draw the magnetic field surrounding the wire showing electron current below. x 2. Draw the magnetic field surrounding the wire showing electron
More informationPhysics 2212 GH Quiz #4 Solutions Spring 2015
Physics 1 GH Quiz #4 Solutions Spring 15 Fundamental Charge e = 1.6 1 19 C Mass of an Electron m e = 9.19 1 31 kg Coulomb constant K = 8.988 1 9 N m /C Vacuum Permittivity ϵ = 8.854 1 1 C /N m Earth s
More informationAmpere's Law. Introduction. times the current enclosed in that loop: Ampere's Law states that the line integral of B and dl over a closed path is 0
1 Ampere's Law Purpose: To investigate Ampere's Law by measuring how magnetic field varies over a closed path; to examine how magnetic field depends upon current. Apparatus: Solenoid and path integral
More information