Physics 16 Magnetic Field Map 1. Magnetic Field Map
|
|
- Phillip McDowell
- 7 years ago
- Views:
Transcription
1 Physics 16 Magnetic Field Map 1 1 Equipment 2 Theory Magnetic Field Map Faraday s law states that if you have a coil of wire of n turns through which there is a changing magnetic flux, then there will be an induced emf (measured in volts) in the coil of magnitude ɛ = n dφ dt where φ is the magnetic flux (φ = B da) through the loop. In this laboratory we will make use of Faraday s law to map the magnitude of the magnetic fields created in a single coil of conduction wire and in a matched pair of coils (Helmholtz coils) when an alternating current is passed through them. 2.1 The Single Coil The formula for the magnetic field on the axis of a coil is; B = (1) µ o NIR 2 2(R 2 + Z 2 ) 3/2 (2) where µ o = H/m is the magnetic permeability, N is the number of turns of a coil, R is the radius, and z is the distance along the z-axis. In this experiment, the current through the coils will be alternating and can be expressed as I(t) = I o sin(ωt) where ω = 2π60. Since both the magnitude and direction of the current will be varying sinusoidally at a rate of 60 Hz, the magnitude and direction of the magnetic field at a point along the axis of the coil will also be varying sinusoidally at 60 Hz. To reflect this time dependence, equation (2) can be rewritten as B(t) = B o sin(ωt) where B o = µ oni o R 2 2(r 2 + z 2 ) 3/2 (3) If I o is in amperes, m o in H/m and all length measurements are in meters, B o will be in Tesla.
2 Physics 16 Magnetic Field Map 2 Figure 1: Single Coil To check the validity of equation (3) and to map the magnitude of the magnetic field along the axis, we need an independent way to measure B o. Consider then a small search coil consisting of n turns of conducting wire and cross sectional area A placed along the axis of the large coil so that the normal to A lies along the axis of the large coil as shown in figure 2. The flux φ through this small search coil is φ = B(t) da = ABo sin(ωt). Figure 2: Single Coil with search coil Since φ is varying sinusoidally there will be an induced emf in the search
3 Physics 16 Magnetic Field Map 3 coil; and an application of Faraday s law yields an expression for its magnitude ɛ(t) = n dφ dt = nab d(sin(ωt)) o dt or ɛ(t) = nωab o cos(ωt). (4) If the ends of the search coil are connected to the input of an oscilloscope and ɛ(t) displayed on the screen, the amplitude of ɛ(t), ɛ o = nωab o (5) can be measured. Since n, ω and A can also be easily measured, equation (5) provides us with an independent way of measuring B o. If ɛ o is in volts and A is in m 2, then B o will be in Tesla. We will use this method to measure B o in the laboratory. Note that if the axis of the search coil is rotated so that it makes an angle θ with the axis of the large coil, the amplitude of ɛ(t) becomes ɛ o = nωab o cos(θ). (6) Note also that the current in the large coil and the induced emf are 90 o out of phase. 2.2 The Helmholtz Coils Helmholtz coils are a matched pair (same number of coils, same radii, etc.) spaced a distance apart equal to their radii. The field on the axis at the midpoint between them (point P in figure 3) can be found from equation (2) by multiplying by 2 (there are two coils each producing a field at P) and setting Z = 1/2R (since the field point is at the same distance in front of one and behind the other). Thus, B(t) = B o sin(ωt) where B o = ( 4) 3/2 µ o NI o 5 R µ oni o 1.4 R. (7) We will use the same method employed with the single coil to check equation (7) and to map the magnetic field. Helmholtz coils provide a very uniform field over a relatively large volume in the space between the coils and are, therefore, a convenient and valuable apparatus for experiments which call for a uniform magnetic field.
4 Physics 16 Magnetic Field Map 4 Figure 3: Helmholtz Coils 2.3 Earth s Magnetic Field - A Challenge Up to now we have been measuring a varying magnetic field. Clearly, if we can produce an oscillating field with AC current, we can produce a steady field with DC current. Ideally then we could produce any field we wanted, and since we know the current and geometry of our coils, we can calculate the direction and magnitude of out field. A compass is a simple device which tells us only the direction of a magnetic field. It does not tell us the magnitude or the source of the field. Also most compasses do not tell about the component of the field up or down, they only tell us the direction in the plane perpendicular to gravity. So our measurement will only be of the magnitude of the Earth s field perpendicular to gravity. There is a special compass called a dip compass, which we would need for the z-component. To measure the Earth s magnetic field we will add the field of the Earth and the field of our coils. If these fields are not parallel, then the direction of the sum will not be magnetic north, and a compass will show the vector sum. The challenge to you is to design a method for measuring the Earth s magnetic field. What are the parameters you can play with? You have a compass, two coils, an current meter and a current supply which you can vary. Arrange these as you think best, watch the compass, and vary geometry and currents as YOU think best.
5 Physics 16 Magnetic Field Map 5 It is a very good idea to discuss this with your lab partner before you arrive at your lab class. 3 Experimental Purpose The specific experimental purposes of this laboratory are the following: 1. to experimentally measure the magnitude of the magnetic field, B o, at the center of a single coil and to compare that value to the value predicted by equation (3); 2. to experimentally measure the magnitude of the magnetic field, B o, at a point on the axis midway between the two coils of a set of Helmholtz coils and to compare that value to the value predicted by equation (7); 3. to map the magnetic field strengths of a single coil and of a set of Helmholtz coils along both their transverse and longitudinal axes by measuring B o at various positions along those axes; 4. to confirm that the emf induced in the search coil is 90 o out of phase with the current in the coils creating the magnetic fields; 5. to experimentally confirm that the emf induced in a search coil which has its longitudinal axis at an angle θ to the direction of a uniform magnetic field is given by equation (6); 6. to make a rough estimate of the volume within a given set of Helmholtz coils in which the magnetic field in uniform; and 7. to map the shape of the magnetic field of a single coil in a plane perpendicular to the plane of the coil and passing through the center of the coil. 8. challenge to design a method using a controlled magnetic field and a compass to measure the Earth s magnetic field. In all cases except the challenge, the measurement of B o will be made with the use of a search coil and equations (5) and (6).
6 Physics 16 Magnetic Field Map 6 4 Procedure The apparatus is illustrated in figure 4 on the next page. An oscilloscope is used to measure the amplitude of the sinusoidal voltages. The current in the large coils comes from a voltage reducing transformer which is plugged into the line voltage. The voltage output from the transformer is approximately 0.5 volts at 60 Hz and is taken from the terminals marked A. The terminals marked B give the voltage across a 0.1Ω resistor which is in series with the coils. The current in the coils can be determined from the voltage across this 0.1Ω resistor and Ohm s law. The search coil has 20 turns and a cross-sectional area of 1cm 2. The Helmholtz coils have 60 turns and are approximately 13.5cm in diameter. The actual dimensions of the large coils should be measured. A scale is mounted in the middle of the coils so as to measure distances along the axes of the coils. Figure 4: Experimental Apparatus
7 Physics 16 Magnetic Field Map 7 1. Connect the positive terminal of the transformer output (the red jack of terminals A) to the red jack on the Helmholtz coils. Connect the negative terminal of the transformer output to the bare wire joining the wire in the front coil to the rear coil. Connect the B terminals of the transformer to channel 2(Y) of the oscilloscope. Connect the search coil to channel 1(X) of the oscilloscope. In this configuration only one coil will have a current passing through it. Channel 1(X) of the oscilloscope can be used to measure the induced emf and channel 2(Y) can be used to measure the current in the coil. Plug in the transformer and turn on the oscilloscope. Place the scale along the axis of the coils making it level with its top edge 5 mm below the mid-line (the approximate radius of the search coil). 2. Keeping the plane of the search coil parallel with the plane of the coil, hold it at the center of the coil carrying the current and measure the amplitude of the induced emf. Then measure the current in the coils. Use equation (3) to calculate the magnitude of B o from I o and use equation (5) to calculate the magnitude of B o from ɛ o. Compare these two values with each other and with the given calibrated value. 3. Adjust the vertical gain controls on channels 1(X) and 2(B) so that the two are about equal. What is the phase difference? Set the scope to the XY mode and observe the Lissajous figure. Note what you observe and give a brief explanation. 4. Measure B o at 5 mm intervals along the longitudinal axis starting 3 cm on one side of the coil and ending 3 cm from the other side. Make a plot of B as a function of position along the axis. 5. Place the scale along the transverse axis and measure B o along this line at 5 mm intervals starting at one edge of the coil and ending at the other edge. Note that the curvature of the field along the two directions (transverse and longitudinal) is opposite in the two directions so that the center point is neither an absolute maximum nor an absolute minimum. Make a plot of B as a function of position along this axis. 6. Connect the positive terminal of the transformer output to the positive jack of the Helmholtz coils. Connect the negative terminal of the transformer output to the negative jack of the Helmholtz coils. Repeat
8 Physics 16 Magnetic Field Map 8 the measurement of steps 2-5. Make a rough estimate of the volume within the coils where B is constant to ±5%. Compare the homogeneity of the field of a single coil with that obtainable from the Helmholtz arrangement. 7. Measure the change in the induced emf that occurs when the search coil is held at an angle to the field so that the flux is reduced by a factor cos(θ) in equation (6). To do this, place a piece of polar graph paper under the coils with the origin at the center. Hold the search coil at the center and looking down form the top bring the stick out at 45 o to the axis of the coils. Repeat for angles of 30 o and 60 o. Note that this could be used to find the direction of the field at any point in space around the coils. How? Set up the single coil again. Use this method to find the shape of the magnetic field in a plane parallel to the table top which intersects the center of the coils. Challenge You will want to control the magnitude of the field from you coil. You do this by controlling the current from the DC supply. Wire the coil as shown in Figure 5. If you use one or two coils is you choice. How you orient the compass and coils depends on your design. Note: the Earth s field varies between 0.3 and 0.6 Gauss (1 Gauss = 1 millitesla). You can produce a field of similar magnitude with this coil with less then 100 ma. Do not exceed 100 ma. DC supply current meter Coils (1 or 2 coils - your choice) Figure 5: Experimental Apparatus for Earth s magnetic field measurement
9 Physics 16 Magnetic Field Map 9 5 Lab Report Follow the usual lab notebook format. Your lab report should include the answers to all of the questions asked in the introduction or procedure, all raw and derived data, and an estimate of the magnitude and sources of error in any data recorded. When answering any question or when giving any comparison or explanation, always refer to specific data to support your statements. Be sure to include the following in your notebook: 1. all raw data; 2. samples of all calculations done; 3. the results of the comparisons in step (2); 4. the results of the observation in step (3); 5. plots of B vs position for the single coil and Helmholtz coils along their transverse and longitudinal axes; 6. a comparison of the field homogeneity obtainable from a single coil with that of a pair of Helmholtz coils; 7. an estimate of the volume within the Helmholtz coils where B is constant within ±5%; 8. the results of the calculations and mapping done in step 7; 9. a discussion of the sources of error in this experiment with an estimate of their effect on the results. For the challenge, you should include a very detailed description. Remember your solution may be very different then anyone else s. This means that you may need to come up with a unique analysis. In this last section you will report the magnitude of the Earth s magnetic field AND the uncertainty in your measurement. The uncertainty analysis should follow what was presented in class, and what is in a separate write-up.
Experiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2006 Experiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil OBJECTIVES 1. To learn how to visualize magnetic field lines
More informationMagnetic Field of a Circular Coil Lab 12
HB 11-26-07 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 informationThe purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law.
260 17-1 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 informationExperiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2009 Experiment 3: Magnetic Fields of a Bar Magnet and Helmholtz Coil OBJECTIVES 1. To learn how to visualize magnetic field lines
More informationPhysics 221 Experiment 5: Magnetic Fields
Physics 221 Experiment 5: Magnetic Fields August 25, 2007 ntroduction This experiment will examine the properties of magnetic fields. Magnetic fields can be created in a variety of ways, and are also found
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 informationF B = ilbsin(f), L x B because we take current i to be a positive quantity. The force FB. L and. B as shown in the Figure below.
PHYSICS 176 UNIVERSITY PHYSICS LAB II Experiment 9 Magnetic Force on a Current Carrying Wire Equipment: Supplies: Unit. Electronic balance, Power supply, Ammeter, Lab stand Current Loop PC Boards, Magnet
More informationELECTRON SPIN RESONANCE Last Revised: July 2007
QUESTION TO BE INVESTIGATED ELECTRON SPIN RESONANCE Last Revised: July 2007 How can we measure the Landé g factor for the free electron in DPPH as predicted by quantum mechanics? INTRODUCTION Electron
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 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 informationE/M Experiment: Electrons in a Magnetic Field.
E/M Experiment: Electrons in a Magnetic Field. PRE-LAB You will be doing this experiment before we cover the relevant material in class. But there are only two fundamental concepts that you need to understand.
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 hands-on experience with the effects of, and in some cases
More informationPhysics 121 Sample Common Exam 3 NOTE: ANSWERS ARE ON PAGE 6. Instructions: 1. In the formula F = qvxb:
Physics 121 Sample Common Exam 3 NOTE: ANSWERS ARE ON PAGE 6 Signature Name (Print): 4 Digit ID: Section: Instructions: Answer all questions 24 multiple choice questions. You may need to do some calculation.
More informationPhysics 41, Winter 1998 Lab 1 - The Current Balance. Theory
Physics 41, Winter 1998 Lab 1 - The Current Balance Theory Consider a point at a perpendicular distance d from a long straight wire carrying a current I as shown in figure 1. If the wire is very long compared
More informationLab E1: Introduction to Circuits
E1.1 Lab E1: Introduction to Circuits The purpose of the this lab is to introduce you to some basic instrumentation used in electrical circuits. You will learn to use a DC power supply, a digital multimeter
More informationELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES
ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES The purpose of this lab session is to experimentally investigate the relation between electric field lines of force and equipotential surfaces in two dimensions.
More informationPhysics 25 Exam 3 November 3, 2009
1. A long, straight wire carries a current I. If the magnetic field at a distance d from the wire has magnitude B, what would be the the magnitude of the magnetic field at a distance d/3 from the wire,
More information5. Measurement of a magnetic field
H 5. Measurement of a magnetic field 5.1 Introduction Magnetic fields play an important role in physics and engineering. In this experiment, three different methods are examined for the measurement of
More informationModern Physics Laboratory e/m with Teltron Deflection Tube
Modern Physics Laboratory e/m with Teltron Deflection Tube Josh Diamond & John Cummings Fall 2010 Abstract The deflection of an electron beam by electric and magnetic fields is observed, and the charge
More informationMeasurement of Charge-to-Mass (e/m) Ratio for the Electron
Measurement of Charge-to-Mass (e/m) Ratio for the Electron Experiment objectives: measure the ratio of the electron charge-to-mass ratio e/m by studying the electron trajectories in a uniform magnetic
More informationElectromagnetic Induction Experiment
In this experiment, the activity will be based on a Phet simulation called Faraday s Electromagnetic Lab, created by a group at the University of Colorado at Boulder. This group has a number of good simulations
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 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 informationA METHOD OF CALIBRATING HELMHOLTZ COILS FOR THE MEASUREMENT OF PERMANENT MAGNETS
A METHOD OF CALIBRATING HELMHOLTZ COILS FOR THE MEASUREMENT OF PERMANENT MAGNETS Joseph J. Stupak Jr, Oersted Technology Tualatin, Oregon (reprinted from IMCSD 24th Annual Proceedings 1995) ABSTRACT The
More informationPre-lab Quiz/PHYS 224 Magnetic Force and Current Balance. Your name Lab section
Pre-lab Quiz/PHYS 224 Magnetic Force and Current Balance Your name Lab section 1. What do you investigate in this lab? 2. Two straight wires are in parallel and carry electric currents in opposite directions
More informationReading assignment: All students should read the Appendix about using oscilloscopes.
10. A ircuits* Objective: To learn how to analyze current and voltage relationships in alternating current (a.c.) circuits. You will use the method of phasors, or the vector addition of rotating vectors
More informationExperiment 7: Forces and Torques on Magnetic Dipoles
MASSACHUSETTS INSTITUTE OF TECHNOLOY Department of Physics 8. Spring 5 OBJECTIVES Experiment 7: Forces and Torques on Magnetic Dipoles 1. To measure the magnetic fields due to a pair of current-carrying
More informationPhys222 Winter 2012 Quiz 4 Chapters 29-31. 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 informationElectromagnetic Induction: Faraday's Law
1 Electromagnetic Induction: Faraday's Law OBJECTIVE: To understand how changing magnetic fields can produce electric currents. To examine Lenz's Law and the derivative form of Faraday's Law. EQUIPMENT:
More informationElectrical Resonance
Electrical Resonance (R-L-C series circuit) APPARATUS 1. R-L-C Circuit board 2. Signal generator 3. Oscilloscope Tektronix TDS1002 with two sets of leads (see Introduction to the Oscilloscope ) INTRODUCTION
More informationLab 4: Magnetic Force on Electrons
Lab 4: Magnetic Force on Electrons Introduction: Forces on particles are not limited to gravity and electricity. Magnetic forces also exist. This magnetic force is known as the Lorentz force and it is
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 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 self-inductance?
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 self-inductance? From Equation 32-5, L = -E=(dI =dt) = 40 V=(100 A/s) = 0.4 H. 15. A cardboard
More informationThe DC Motor. Physics 1051 Laboratory #5 The DC Motor
The DC Motor Physics 1051 Laboratory #5 The DC Motor Contents Part I: Objective Part II: Introduction Magnetic Force Right Hand Rule Force on a Loop Magnetic Dipole Moment Torque Part II: Predictions Force
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 informationExperiment 6: Magnetic Force on a Current Carrying Wire
Chapter 8 Experiment 6: Magnetic Force on a Current Carrying Wire 8.1 Introduction Maricourt (1269) is credited with some of the original work in magnetism. He identified the magnetic force centers of
More informationExperiment 5: Magnetic Fields of a Bar Magnet and of the Earth
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2005 Experiment 5: Magnetic Fields of a Bar Magnet and of the Earth OBJECTIVES 1. To examine the magnetic field associated with a
More informationInductors in AC Circuits
Inductors in AC Circuits Name Section Resistors, inductors, and capacitors all have the effect of modifying the size of the current in an AC circuit and the time at which the current reaches its maximum
More informationFORCE ON A CURRENT IN A MAGNETIC FIELD
7/16 Force current 1/8 FORCE ON A CURRENT IN A MAGNETIC FIELD PURPOSE: To study the force exerted on an electric current by a magnetic field. BACKGROUND: When an electric charge moves with a velocity v
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 informationChapter 30 - Magnetic Fields and Torque. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapter 30 - Magnetic Fields and Torque A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 Objectives: After completing this module, you should
More informationExperiment #5, Series and Parallel Circuits, Kirchhoff s Laws
Physics 182 Summer 2013 Experiment #5 1 Experiment #5, Series and Parallel Circuits, Kirchhoff s Laws 1 Purpose Our purpose is to explore and validate Kirchhoff s laws as a way to better understanding
More informationExperiment 8: Undriven & Driven RLC Circuits
Experiment 8: Undriven & Driven RLC Circuits Answer these questions on a separate sheet of paper and turn them in before the lab 1. RLC Circuits Consider the circuit at left, consisting of an AC function
More informationCandidate Number. General Certificate of Education Advanced Level Examination June 2010
entre Number andidate Number Surname Other Names andidate Signature General ertificate of Education dvanced Level Examination June 1 Physics PHY4/1 Unit 4 Fields and Further Mechanics Section Friday 18
More informationNUCLEAR MAGNETIC RESONANCE. Advanced Laboratory, Physics 407, University of Wisconsin Madison, Wisconsin 53706
(revised 4/21/03) NUCLEAR MAGNETIC RESONANCE Advanced Laboratory, Physics 407, University of Wisconsin Madison, Wisconsin 53706 Abstract This experiment studies the Nuclear Magnetic Resonance of protons
More informationFREE FALL. Introduction. Reference Young and Freedman, University Physics, 12 th Edition: Chapter 2, section 2.5
Physics 161 FREE FALL Introduction This experiment is designed to study the motion of an object that is accelerated by the force of gravity. It also serves as an introduction to the data analysis capabilities
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 informationAC generator theory. Resources and methods for learning about these subjects (list a few here, in preparation for your research):
AC generator theory This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationExperiment NO.3 Series and parallel connection
Experiment NO.3 Series and parallel connection Object To study the properties of series and parallel connection. Apparatus 1. DC circuit training system 2. Set of wires. 3. DC Power supply 4. Digital A.V.O.
More informationDigital Energy ITI. Instrument Transformer Basic Technical Information and Application
g Digital Energy ITI Instrument Transformer Basic Technical Information and Application Table of Contents DEFINITIONS AND FUNCTIONS CONSTRUCTION FEATURES MAGNETIC CIRCUITS RATING AND RATIO CURRENT TRANSFORMER
More informationMeasuring Permanent Magnet Characteristics with a Fluxmeter and Helmholtz Coil
Measuring Permanent Magnet Characteristics with a Fluxmeter and Helmholtz Coil Lake Shore Cryotronics, Inc., 10/00 Measuring Permanent Magnet Characteristics with a Fluxmeter and Helmholtz Coil General
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 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 informationGeometric Optics Converging Lenses and Mirrors Physics Lab IV
Objective Geometric Optics Converging Lenses and Mirrors Physics Lab IV In this set of lab exercises, the basic properties geometric optics concerning converging lenses and mirrors will be explored. The
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 informationElectromagnetism Laws and Equations
Electromagnetism Laws and Equations Andrew McHutchon Michaelmas 203 Contents Electrostatics. Electric E- and D-fields............................................. Electrostatic Force............................................2
More information1. Units of a magnetic field might be: A. C m/s B. C s/m C. C/kg D. kg/c s E. N/C m ans: D
Chapter 28: MAGNETIC FIELDS 1 Units of a magnetic field might be: A C m/s B C s/m C C/kg D kg/c s E N/C m 2 In the formula F = q v B: A F must be perpendicular to v but not necessarily to B B F must be
More informationLABORATORY V MAGNETIC FIELDS AND FORCES
LABORATORY V MAGNETIC FIELDS AND FORCES Magnetism plays a large part in our modern world's technology. Magnets are used today to image parts of the body, to explore the mysteries of the human brain, and
More informationMeasuring Impedance and Frequency Response of Guitar Pickups
Measuring Impedance and Frequency Response of Guitar Pickups Peter D. Hiscocks Syscomp Electronic Design Limited phiscock@ee.ryerson.ca www.syscompdesign.com April 30, 2011 Introduction The CircuitGear
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 informationE. K. A. ADVANCED PHYSICS LABORATORY PHYSICS 3081, 4051 NUCLEAR MAGNETIC RESONANCE
E. K. A. ADVANCED PHYSICS LABORATORY PHYSICS 3081, 4051 NUCLEAR MAGNETIC RESONANCE References for Nuclear Magnetic Resonance 1. Slichter, Principles of Magnetic Resonance, Harper and Row, 1963. chapter
More information6/2016 E&M forces-1/8 ELECTRIC AND MAGNETIC FORCES. PURPOSE: To study the deflection of a beam of electrons by electric and magnetic fields.
6/016 E&M forces-1/8 ELECTRIC AND MAGNETIC FORCES PURPOSE: To study the deflection of a beam of electrons by electric and magnetic fields. APPARATUS: Electron beam tube, stand with coils, power supply,
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 informationFrequency Response of Filters
School of Engineering Department of Electrical and Computer Engineering 332:224 Principles of Electrical Engineering II Laboratory Experiment 2 Frequency Response of Filters 1 Introduction Objectives To
More informationUsing an Oscilloscope
Using an Oscilloscope The oscilloscope is used to measure a voltage that changes in time. It has two probes, like a voltmeter. You put these probes on either side of the thing that you want to measure
More informationSERIES-PARALLEL DC CIRCUITS
Name: Date: Course and Section: Instructor: EXPERIMENT 1 SERIES-PARALLEL DC CIRCUITS OBJECTIVES 1. Test the theoretical analysis of series-parallel networks through direct measurements. 2. Improve skills
More informationHow To Understand Electron Spin Resonance
HB 10-24-08 Electron Spin Resonance Lab 1 Electron Spin Resonance Equipment Electron Spin Resonance apparatus, leads, BK oscilloscope, 15 cm ruler for setting coil separation Reading Review the Oscilloscope
More informationEpisode 126: Capacitance and the equation C =Q/V
Episode 126: Capacitance and the equation C =Q/V Having established that there is charge on each capacitor plate, the next stage is to establish the relationship between charge and potential difference
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 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 informationInductance. Motors. Generators
Inductance Motors Generators Self-inductance Self-inductance 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 informationReflection and Refraction
Equipment Reflection and Refraction Acrylic block set, plane-concave-convex universal mirror, cork board, cork board stand, pins, flashlight, protractor, ruler, mirror worksheet, rectangular block worksheet,
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 informationMAG Magnetic Fields revised July 24, 2012
MAG Magnetic Fields revised July 24, 2012 (You will do two experiments; this one (in Rock 402) and the Magnetic Induction experiment (in Rock 403). Sections will switch rooms and experiments half-way through
More informationCopyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass
Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of
More informationLab 3 - DC Circuits and Ohm s Law
Lab 3 DC Circuits and Ohm s Law L3-1 Name Date Partners Lab 3 - DC Circuits and Ohm s Law OBJECTIES To learn to apply the concept of potential difference (voltage) to explain the action of a battery in
More informationMapping the Magnetic Field
I Mapping the Magnetic Field Mapping the Magnetic Field Vector Fields The electric field, E, and the magnetic field, B, are two examples of what are termed vector fields, quantities which have both magnitude
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 informationExperiment #8: Magnetic Forces
Experiment #8: Magnetic Forces Purpose: To study the nature of magnetic forces exerted on currents. Equipment: Magnet Assembly and Stand Set of Current Loop PC oards Triple-Arm Pan alance 0 15 V dc Variable
More informationApplication Note. So You Need to Measure Some Inductors?
So You Need to Measure Some nductors? Take a look at the 1910 nductance Analyzer. Although specifically designed for production testing of inductors and coils, in addition to measuring inductance (L),
More informationMath 241 Lines and Planes (Solutions) x = 3 3t. z = 1 t. x = 5 + t. z = 7 + 3t
Math 241 Lines and Planes (Solutions) The equations for planes P 1, P 2 and P are P 1 : x 2y + z = 7 P 2 : x 4y + 5z = 6 P : (x 5) 2(y 6) + (z 7) = 0 The equations for lines L 1, L 2, L, L 4 and L 5 are
More informationFraunhofer Diffraction
Physics 334 Spring 1 Purpose Fraunhofer Diffraction The experiment will test the theory of Fraunhofer diffraction at a single slit by comparing a careful measurement of the angular dependence of intensity
More information22.302 Experiment 5. Strain Gage Measurements
22.302 Experiment 5 Strain Gage Measurements Introduction The design of components for many engineering systems is based on the application of theoretical models. The accuracy of these models can be verified
More informationEXPERIMENT NUMBER 5 BASIC OSCILLOSCOPE OPERATIONS
1 EXPERIMENT NUMBER 5 BASIC OSCILLOSCOPE OPERATIONS The oscilloscope is the most versatile and most important tool in this lab and is probably the best tool an electrical engineer uses. This outline guides
More informationChapter 22 Magnetism
22.6 Electric Current, Magnetic Fields, and Ampere s Law Chapter 22 Magnetism 22.1 The Magnetic Field 22.2 The Magnetic Force on Moving Charges 22.3 The Motion of Charged particles in a Magnetic Field
More informationEXPERIMENT: MOMENT OF INERTIA
OBJECTIVES EXPERIMENT: MOMENT OF INERTIA to familiarize yourself with the concept of moment of inertia, I, which plays the same role in the description of the rotation of a rigid body as mass plays in
More informationANALYTICAL METHODS FOR ENGINEERS
UNIT 1: Unit code: QCF Level: 4 Credit value: 15 ANALYTICAL METHODS FOR ENGINEERS A/601/1401 OUTCOME - TRIGONOMETRIC METHODS TUTORIAL 1 SINUSOIDAL FUNCTION Be able to analyse and model engineering situations
More informationPolarization of Light
Polarization of Light References Halliday/Resnick/Walker Fundamentals of Physics, Chapter 33, 7 th ed. Wiley 005 PASCO EX997A and EX999 guide sheets (written by Ann Hanks) weight Exercises and weights
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3 OUTCOME 4 - ALTERNATING CURRENT
EDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3 OUTCOME 4 - ALTERNATING CURRENT 4 Understand single-phase alternating current (ac) theory Single phase AC
More informationMagnetic susceptibility. Basic principles and features on the PPMS.
Magnetic susceptibility. Basic principles and features on the PPMS. Experimental methods: DC Magnetometry AC Magnetometry Torque Magnetometry Heat Capacity 1. DC Magnetometry. Basic principles. DC magnetic
More informationLecture 8 : Coordinate Geometry. The coordinate plane The points on a line can be referenced if we choose an origin and a unit of 20
Lecture 8 : Coordinate Geometry The coordinate plane The points on a line can be referenced if we choose an origin and a unit of 0 distance on the axis and give each point an identity on the corresponding
More informationPrinciples and Working of DC and AC machines
BITS Pilani Dubai Campus Principles and Working of DC and AC machines Dr Jagadish Nayak Constructional features BITS Pilani Dubai Campus DC Generator A generator consists of a stationary portion called
More informationPeople s Physics Book
The Big Ideas: The name electric current is given to the phenomenon that occurs when an electric field moves down a wire at close to the speed of light. Voltage is the electrical energy density (energy
More informationGENERAL SCIENCE LABORATORY 1110L Lab Experiment 6: Ohm s Law
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 6: Ohm s Law OBJECTIVES: To verify Ohm s law, the mathematical relationship among current, voltage or potential difference, and resistance, in a simple circuit.
More informationPrelab Exercises: Hooke's Law and the Behavior of Springs
59 Prelab Exercises: Hooke's Law and the Behavior of Springs Study the description of the experiment that follows and answer the following questions.. (3 marks) Explain why a mass suspended vertically
More informationHomework #11 203-1-1721 Physics 2 for Students of Mechanical Engineering
Homework #11 203-1-1721 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 information= V peak 2 = 0.707V peak
BASIC ELECTRONICS - RECTIFICATION AND FILTERING PURPOSE Suppose that you wanted to build a simple DC electronic power supply, which operated off of an AC input (e.g., something you might plug into a standard
More informationε: Voltage output of Signal Generator (also called the Source voltage or Applied
Experiment #10: LR & RC Circuits Frequency Response EQUIPMENT NEEDED Science Workshop Interface Power Amplifier (2) Voltage Sensor graph paper (optional) (3) Patch Cords Decade resistor, capacitor, and
More information45. The peak value of an alternating current in a 1500-W 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 5-W device is 5.4 A. What is the rms voltage across? The power and current can be used to find the peak voltage,
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 information