Physics 8.02 Exam Two Mashup Spring 2003
|
|
- Edmund Hart
- 5 years ago
- Views:
Transcription
1 Physics 8.0 Exam Two Mashup Spring 003 Some (possibly useful) Relations: closedsurface da Q κ d = ε E A inside points from inside to outside b V = V V = E d s moving from a to b b a E d s = 0 V many point charges C = C Q V parallelplate = o q N i i= 1 ε o r ri Q V = C ε A o = d U = 1 C V = Q C 1 1 = + 1 C C C C series 1 = C +C parallel 1 E= ρj where ρ is the resistivity V = i R R = ρl A 1 R parallel = 1 R R R series = R 1 + R V Pohmic heating = i V = i R = R µ ˆ o q v r B= v < < c r I d µ ˆ o s r db = r rˆ pointsfromsource to observer a B ds =µ oi contour through where I through is the current flowing through any open surface bounded by the contour: Ithrough = J da open surface ds right-handed with respect to da d dφ Eds = ε = N dt BdA dt F= q v B Fcent. ext = mv r µ = IAn n perpendicular to loop, sgl loop df= Ids B right-handed with respect to I τ = µ B dbz Fz = µ z dz Cross-products of unit vectors: ˆi ˆi = ˆj ˆj= kˆ k ˆ = 0 ˆi ˆj = k ˆ ˆj kˆ = ˆi k ˆ ˆ i = ˆ j Useful integrals: dθ = 1/ ( c+ fθ ) ( c+ fθ ) f dθ 1 ln( c fθ ) ( c+ fθ ) = f + dθ 1 1 = + θ + θ 1/ ( c f ) f ( c f ) Useful Small Argument Approximations (1 + ε) n 1 + nε for ε<<1 ln(1 + ε ) ε for ε<<1 ext
2 Problem 1 (5 Points) Circle your choice for the correct answer to the five questions below. A: A current I is uniformly distributed over the cross-section of a conducting wire of radius a. For distances r from the center of the wire with r < a, 1. The magnitude of the magnetic field does not depend on r.. The magnitude of the magnetic field is proportional to 1/r 3. The magnitude of the magnetic field is proportional to r 4. The magnitude of the magnetic field is proportional to 1/r 5. The magnitude of the magnetic field is proportional to r B: A segment of a wire of length dl carries a current I (see sketch below). The magnitude of the magnetic field due to this wire segment at the location P shown in the sketch is µ I o a dl b µ I o a dl b µ oi b dl a + b µ I o b dl a + b µ I o dl a + b [ a + ] 3 / [ a + ] [ ] 3 / [ ] [ ] Page
3 C: Two wires run parallel to the z-azis, which is out of the page. The wire on the right carries a current I > 0 out of the page. The wire on the left carries a current of I = I / also out of the page (see sketch) Which of the four iron filings representation of the magnetic field of these two wires shown below is correct? In an iron filings representation, the magnetic fields are parallel (or anti-parallel) to the streaks, and an x structure denotes a zero in the field strength. (a) (b) (c) (d) Page 3
4 D: Two charged particles of identical mass and charge move in circular orbits in the same constant magnetic field B = zˆ. The two particles have different speeds. B o The orbit of the particle with the larger speed will: E: 1. have a larger radius and a longer period as compared to that of the slower particle. have a smaller radius and a shorter period as compared to that of the slower particle 3. have a larger radius and the same period as compared to that of the slower particle 4. have a smaller radius and the same period as compared to that of the slower particle A circuit in the form of a rectangular loop of wire is pushed toward a long wire carrying current I in the direction shown in the sketch. 1. The induced current in the loop is clockwise and the net force on the loop is to the left.. The induced current in the loop is clockwise and the net force on the loop is to the right. 3. The induced current in the loop is counterclockwise and the net force on the loop is to the left. 4. The induced current in the loop is counterclockwise and the net force on the loop is to the right. Page 4
5 F. A coil of wire defines an open surface whose normal da points downward, as shown in the sketch. The coil is below a magnet whose North pole points upward. As the coil moves from well below the magnet to well above that magnet, the magnetic flux through the coil due to the field produced by the magnet only looks like: (1) () (3) (4) Page 5
6 Problem (5 points): A current I flows around a continuous path that consists of portions of two concentric circles of radii a and a/, respectively, and two straight radial segments. The point P is at the common center of the two circle segments. (a) Use the Biot-Savart Law to calculate db at P due only to that segment of the path dl shown in the sketch. Indicate on the sketch the vector r ˆ you use and the direction of db. Give the magnitude of db in terms of I, a, dl, and µ o. (b) Derive an expression for the magnetic field at P due to the larger circle segment only. Give its magnitude and direction. Answers without work will receive no credit. (c) What is the total field B at P? Give its magnitude and direction. Page 6
7 Problem 3 (5 points): An infinitely long solenoid with radius R carries current I and has n turns per unit length. The current in the solenoid circulates counterclockwise when viewed from the top. You may assume that the magnetic field inside the solenoid is constant and that the magnetic field outside the solenoid is zero. (a) On the figure above, draw the Amperean loop that will allow you to find the magnetic field inside the solenoid at the point P. Indicate the dimensions of the loop. (b) What is the total current flowing through your Amperean Loop in terms of its dimensions and the quantities given? (c) Using Ampere s Law, derive an expression for the magnetic field inside the solenoid. Give its magnitude and direction in terms of the quantities given and µ o. Answers without work will receive no credit. Page 7
8 Problem 3 continued (d) We now insert a second solenoid of radius R/ into the first solenoid. The second solenoid carries the same current I as the first, except that the current in the second solenoid circulates clockwise as seen from the top. Also, the number of turns per unit length of the second solenoid is twice that of the first solenoid (see sketch). What is the magnetic field along the common axis of the two solenoids? Give its magnitude and direction in terms of the quantities given and µ o. You must justify your answer using either the Biot-Savart Law, Ampere s Law, or the Principle of Superposition. Page 8
9 Problem 4 (5 points) A pie-shaped circuit is made from a straight vertical conducting rod of length a welded to a conducting rod bent into the shape of a semi-circle with radius a (see sketch). The circuit is completed by a conducting rod of length a pivoted at the center of the semicircle, Point P, and free to rotate about that point. This moving rod makes electrical contact with the vertical rod at one end and the semi-circular rod at the other end. The angle θ is the angle between the vertical rod and the moving rod, as shown. The circuit sits in a constant magnetic field B ext pointing out of the page. (a) If the angle θ is increasing with time, what is the direction of the resultant current flow around the pieshaped circuit. Draw the direction of the current flow on the diagram to the left. To get credit for the right answer, you must justify your answer, using a Lenz s Law argument or some other argument. For the next two parts, assume that the angle θ is increasing at a constant rate, θ () t = ω t, where ω is a constant. (b) What is the magnitude of the rate of change of the magnetic flux through the pieshaped circuit due to B ext only (do not include the magnetic field associated with any induced current in the circuit)? Page 9
10 (c) If the pie-shaped circuit has a constant resistance R, what is the magnitude and direction of the magnetic force due to the external field on the moving rod in terms of the quantities given. Show the direction of the force on the sketch below. Page 10
Physics 8.02 Exam Two Equation Sheet Spring 2004
Physics 8.0 Exam Two Equation Sheet Spring 004 closed surface EdA Q inside da points from inside o to outside I dsrˆ db 4o r rˆ points from source to observer V moving from a to b E ds 0 V b V a b E ds
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2013 Exam 3 Equation Sheet. closed fixed path. ! = I ind.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.0 Spring 013 Exam 3 Equation Sheet Force Law: F q = q( E ext + v q B ext ) Force on Current Carrying Wire: F = Id s " B # wire ext Magnetic
More informationBiot-Savart. The equation is this:
Biot-Savart When a wire carries a current, this current produces a magnetic field in the vicinity of the wire. One way of determining the strength and direction of this field is with the Law of Biot-Savart.
More informationCh 30 - Sources of Magnetic Field
Ch 30 - Sources of Magnetic Field Currents produce Magnetism? 1820, Hans Christian Oersted: moving charges produce a magnetic field. The direction of the field is determined using a RHR. Oersted (1820)
More informationExam 2, Phy 2049, Spring Solutions:
Exam 2, Phy 2049, Spring 2017. Solutions: 1. A battery, which has an emf of EMF = 10V and an internal resistance of R 0 = 50Ω, is connected to three resistors, as shown in the figure. The resistors have
More informationB r Solved Problems Magnetic Field of a Straight Wire
(4) Equate Iencwith d s to obtain I π r = NI NI = = ni = l π r 9. Solved Problems 9.. Magnetic Field of a Straight Wire Consider a straight wire of length L carrying a current I along the +x-direction,
More information/20 /20 /20 /60. Dr. Galeazzi PHY207 Test #3 November 20, I.D. number:
Signature: Name: I.D. number: You must do ALL the problems Each problem is worth 0 points for a total of 60 points. TO GET CREDIT IN PROBLEMS AND 3 YOU MUST SHOW GOOD WORK. CHECK DISCUSSION SECTION ATTENDED:
More informationSolve: From Example 33.5, the on-axis magnetic field of a current loop is
33.10. Solve: From Example 33.5, the on-axis magnetic field of a current loop is B loop ( z) μ0 = We want to find the value of z such that B( z) B( 0) 0 0 3 = 3 ( z + R ) ( R ) =. 3 R R ( z R ) z R z R(
More informationMagnetic Force Acting on a Current- Carrying Conductor IL B
Magnetic Force Acting on a Current- Carrying Conductor A segment of a current-carrying wire in a magnetic field. The magnetic force exerted on each charge making up the current is qvd and the net force
More informationPHYS102 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 informationSet of sure shot questions of Magnetic effect of Current for class XII CBSE Board Exam Reg.
Set of sure shot questions of Magnetic effect of Current for class XII CBSE Board Exam. 2016- Reg. 1 Two Parallel Conducting wires carrying current in the same direction attract each other.why? I 1 A B
More informationPhysics 42 Exam 3 Fall 2013 PRINT Name:
Physics 42 Exam 3 Fall 2013 PRINT Name: 1 2 3 4 Conceptual Questions : Circle the BEST answer. (1 point each) 1. A small plastic ball has an excess negative charge on it. If a magnet is placed close to
More informationHomework 6 solutions PHYS 212 Dr. Amir
Homework 6 solutions PHYS 1 Dr. Amir Chapter 8 18. (II) A rectangular loop of wire is placed next to a straight wire, as shown in Fig. 8 7. There is a current of.5 A in both wires. Determine the magnitude
More informationConcept Questions with Answers. Concept Questions with Answers W11D2. Concept Questions Review
Concept Questions with W11D2 Concept Questions Review W11D2 2 Concept Questions with W7D1 W07D1 Magnetic Dipoles, Force and Torque on a Dipole, Experiment 2 W07D1 Magnetic Dipoles, Torque and Force on
More informationFinal on December Physics 106 R. Schad. 3e 4e 5c 6d 7c 8d 9b 10e 11d 12e 13d 14d 15b 16d 17b 18b 19c 20a
Final on December11. 2007 - Physics 106 R. Schad YOUR NAME STUDENT NUMBER 3e 4e 5c 6d 7c 8d 9b 10e 11d 12e 13d 14d 15b 16d 17b 18b 19c 20a 1. 2. 3. 4. This is to identify the exam version you have IMPORTANT
More informationProblem Solving: Faraday s Law & Inductance. Faraday s Law
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics: 8.02 Problem Solving: Faraday s Law & Inductance Section Table Names Faraday s Law In Chapter 10 of the 8.02 Course Notes, we have seen that
More informationHandout 8: Sources of magnetic field. Magnetic field of moving charge
1 Handout 8: Sources of magnetic field Magnetic field of moving charge Moving charge creates magnetic field around it. In Fig. 1, charge q is moving at constant velocity v. The magnetic field at point
More informationPhysics 202, Lecture 13. Today s Topics. Magnetic Forces: Hall Effect (Ch. 27.8)
Physics 202, Lecture 13 Today s Topics Magnetic Forces: Hall Effect (Ch. 27.8) Sources of the Magnetic Field (Ch. 28) B field of infinite wire Force between parallel wires Biot-Savart Law Examples: ring,
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2014 Final Exam Equation Sheet. B( r) = µ o 4π
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2014 Final Exam Equation Sheet Force Law: F q = q( E ext + v q B ext ) Poynting Vector: S = ( E B) / µ 0 Force on Current Carrying
More informationPhysics 2401 Summer 2, 2008 Exam III
Physics 2401 Summer 2, 2008 Exam e = 1.60x10-19 C, m(electron) = 9.11x10-31 kg, ε 0 = 8.845x10-12 C 2 /Nm 2, k e = 9.0x10 9 Nm 2 /C 2, m(proton) = 1.67x10-27 kg. n = nano = 10-9, µ = micro = 10-6, m =
More informationLouisiana State University Physics 2102, Exam 3, November 11, 2010.
Name: Instructor: Louisiana State University Physics 2102, Exam 3, November 11, 2010. Please be sure to write your name and class instructor above. The test consists of 3 questions (multiple choice), and
More information18. Ampere s law and Gauss s law (for B) Announcements: This Friday, Quiz 1 in-class and during class (training exam)
18. Ampere s law and Gauss s law (for B) Announcements: This Friday, Quiz 1 in-class and during class (training exam) Where does a B-field come from? Facts: Electrical current produces a magnetic field
More informationPhysics 212 Question Bank III 2010
A negative charge moves south through a magnetic field directed north. The particle will be deflected (A) North. () Up. (C) Down. (D) East. (E) not at all.. A positive charge moves West through a magnetic
More informationPhysics 169. Luis anchordoqui. Kitt Peak National Observatory. Monday, March 13, 17
Physics 169 Kitt Peak National Observatory Luis anchordoqui 1 6.1 Magnetic Field Stationary charges experienced an electric force in an electric field Moving charges experienced a magnetic force in a magnetic
More informationAnnouncements This week:
Announcements This week: Homework due Thursday March 22: Chapter 26 sections 3-5 + Chapter 27 Recitation on Friday March 23: Chapter 27. Quiz on Friday March 23: Homework, Lectures 12, 13 and 14 Properties
More informationExam 2 Solutions. Note that there are several variations of some problems, indicated by choices in parentheses.
Exam 2 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 Part of a long, straight insulated wire carrying current i is bent into a circular
More informationPhysics 212 Question Bank III 2006
A negative charge moves south through a magnetic field directed north. The particle will be deflected (A) North. () Up. (C) Down. (D) East. (E) not at all. The magnetic force on a moving charge is (A)
More informationr r 1 r r 1 2 = q 1 p = qd and it points from the negative charge to the positive charge.
MP204, Important Equations page 1 Below is a list of important equations that we meet in our study of Electromagnetism in the MP204 module. For your exam, you are expected to understand all of these, and
More information1. Write the relation for the force acting on a charge carrier q moving with velocity through a magnetic field in vector notation. Using this relation, deduce the conditions under which this force will
More informationElectrodynamics Exam 3 and Final Exam Sample Exam Problems Dr. Colton, Fall 2016
Electrodynamics Exam 3 and Final Exam Sample Exam Problems Dr. Colton, Fall 016 Multiple choice conceptual questions 1. An infinitely long, straight wire carrying current passes through the center of a
More informationProblem Solving 6: Ampere s Law and Faraday s Law. Part One: Ampere s Law
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics: 8.02 Problem Solving 6: Ampere s Law and Faraday s Law Section Table Names Hand in one copy per group at the end of the Friday Problem Solving
More information1-1 Magnetism. q ν B.(1) = q ( ) (2)
1-1 Magnetism Magnets exert forces on each other just like charges. You can draw magnetic field lines just like you drew electric field lines. Magnetic north and south pole s behavior is not unlike electric
More information( )( )( ) Model: The magnetic field is that of a moving charged particle. Visualize: 10 T m/a C m/s sin T. 1.
33.3. Model: The magnetic field is that of a moving charged particle. Visualize: The first point is on the x-axis, with θ a = 90. The second point is on the y-axis, with θ b = 180, and the third point
More informationLouisiana State University Physics 2102, Exam 3 April 2nd, 2009.
PRINT Your Name: Instructor: Louisiana State University Physics 2102, Exam 3 April 2nd, 2009. Please be sure to PRINT your name and class instructor above. The test consists of 4 questions (multiple choice),
More informationPhysics 1402: Lecture 18 Today s Agenda
Physics 1402: Lecture 18 Today s Agenda Announcements: Midterm 1 distributed available Homework 05 due Friday Magnetism Calculation of Magnetic Field Two ways to calculate the Magnetic Field: iot-savart
More informationExam 3 November 19, 2012 Instructor: Timothy Martin
PHY 232 Exam 3 October 15, 2012 Exam 3 November 19, 2012 Instructor: Timothy Martin Student Information Name and section: UK Student ID: Seat #: Instructions Answer the questions in the space provided.
More informationGeneral Physics (PHYC 252) Exam 4
General Physics (PHYC 5) Exam 4 Multiple Choice (6 points). Circle the one best answer for each question. For Questions 1-3, consider a car battery with 1. V emf and internal resistance r of. Ω that is
More informationPhysics 2212 G Quiz #4 Solutions Spring 2018 = E
Physics 2212 G Quiz #4 Solutions Spring 2018 I. (16 points) The circuit shown has an emf E, three resistors with resistance, and one resistor with resistance 3. What is the current through the resistor
More informationn Higher Physics 1B (Special) (PHYS1241) (6UOC) n Advanced Science n Double Degree (Science/Engineering) n Credit or higher in Physics 1A
Physics in Session 2: I n Physics / Higher Physics 1B (PHYS1221/1231) n Science, dvanced Science n Engineering: Electrical, Photovoltaic,Telecom n Double Degree: Science/Engineering n 6 UOC n Waves n Physical
More informationP202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova
P202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova Name: Date: (5)1. How many electrons flow through a battery that delivers a current of 3.0 A for 12 s? A) 4 B) 36 C) 4.8 10 15 D) 6.4 10 18 E)
More informationThe Steady Magnetic Field LECTURE 7
The Steady Magnetic Field LECTURE 7 Learning Objectives Understand the Biot-Savart Law Understand the Ampere s Circuital Law Explain the Application of Ampere s Law Motivating the Magnetic Field Concept:
More informationCyclotron, final. The cyclotron s operation is based on the fact that T is independent of the speed of the particles and of the radius of their path
Cyclotron, final The cyclotron s operation is based on the fact that T is independent of the speed of the particles and of the radius of their path K 1 qbr 2 2m 2 = mv = 2 2 2 When the energy of the ions
More informationPhysics 208, Spring 2016 Exam #3
Physics 208, Spring 206 Exam #3 A Name (Last, First): ID #: Section #: You have 75 minutes to complete the exam. Formulae are provided on an attached sheet. You may NOT use any other formula sheet. You
More informationTIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES. PHYS 1112, Exam 2 Section 1 Version 1 April 2, 2013 Total Weight: 100 points
TIME OF COMPLETION NAME SOLUTION DEPARTMENT OF NATURAL SCIENCES PHYS 1112, Exam 2 Section 1 Version 1 April 2, 2013 Total Weight: 100 points 1. Check your examination for completeness prior to starting.
More informationMagnetic Fields; Sources of Magnetic Field
This test covers magnetic fields, magnetic forces on charged particles and current-carrying wires, the Hall effect, the Biot-Savart Law, Ampère s Law, and the magnetic fields of current-carrying loops
More informationDemo: 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 informationAmpere s Law. Outline. Objectives. BEE-Lecture Notes Anurag Srivastava 1
Outline Introduce as an analogy to Gauss Law. Define. Applications of. Objectives Recognise to be analogous to Gauss Law. Recognise similar concepts: (1) draw an imaginary shape enclosing the current carrying
More informationMagnetic Fields Due to Currents
PHYS102 Previous Exam Problems CHAPTER 29 Magnetic Fields Due to Currents Calculating the magnetic field Forces between currents Ampere s law Solenoids 1. Two long straight wires penetrate the plane of
More informationQuestion Bank 4-Magnetic effects of current
Question Bank 4-Magnetic effects of current LEVEL A 1 Mark Questions 1) State Biot-Savart s law in vector form. 2) What is the SI unit of magnetic flux density? 3) Define Tesla. 4) A compass placed near
More informationQ1. Ans: (1.725) =5.0 = Q2.
Coordinator: Dr. A. Naqvi Wednesday, January 11, 2017 Page: 1 Q1. Two strings, string 1 with a linear mass density of 1.75 g/m and string 2 with a linear mass density of 3.34 g/m are tied together, as
More informationMASSCHUSETTS INSTITUTE OF TECHNOLOGY ESG Physics. Problem Set 8 Solution
MASSCHUSETTS INSTITUTE OF TECHNOLOGY ESG Physics 8.0 with Kai Spring 003 Problem : 30- Problem Set 8 Solution Determine the magnetic field (in terms of I, a and b) at the origin due to the current loop
More informationThe next two questions pertain to the situation described below. Consider a parallel plate capacitor with separation d:
PHYS 102 Exams Exam 2 PRINT (A) The next two questions pertain to the situation described below. Consider a parallel plate capacitor with separation d: It is connected to a battery with constant emf V.
More informationExam 2 Solutions. ε 3. ε 1. Problem 1
Exam 2 Solutions Problem 1 In the circuit shown, R1=100 Ω, R2=25 Ω, and the ideal batteries have EMFs of ε1 = 6.0 V, ε2 = 3.0 V, and ε3 = 1.5 V. What is the magnitude of the current flowing through resistor
More informationPHYS152 Lecture 8. Eunil Won Korea University. Ch 30 Magnetic Fields Due to Currents. Fundamentals of Physics by Eunil Won, Korea University
PHYS152 Lecture 8 Ch 3 Magnetic Fields Due to Currents Eunil Won Korea University Calculating the Magnetic Field Due to a Current Recall that we had the formula for the electrostatic force: d E = 1 ɛ dq
More informationFaraday'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 informationFaraday s Law. Underpinning of Much Technology
Module 21: Faraday s Law 1 Faraday s Law Fourth (Final) Maxwell s Equation Underpinning of Much Technology 2 Demonstration: Falling Magnet 3 Magnet Falling Through a Ring Link to movie Falling magnet slows
More informationPhysics 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 informationMagnetostatics III. P.Ravindran, PHY041: Electricity & Magnetism 1 January 2013: Magntostatics
Magnetostatics III Magnetization All magnetic phenomena are due to motion of the electric charges present in that material. A piece of magnetic material on an atomic scale have tiny currents due to electrons
More informationPhysics 2135 Exam 3 April 18, 2017
Physics 2135 Exam 3 April 18, 2017 Exam Total / 200 Printed Name: Rec. Sec. Letter: Solutions for problems 6 to 10 must start from official starting equations. Show your work to receive credit for your
More informationExam 2 Review W11D2 1
Exam 2 Review W11D2 1 Exam 2 Announcements Exam Two: Thursday 20 April 7:30-9:30 pm Conflict Exam Two: If you have a regularly scheduled academic activity that conflicts with the Thursday evening exam,
More informationUniversity of the Philippines College of Science PHYSICS 72. Summer Second Long Problem Set
University of the Philippines College of Science PHYSICS 72 Summer 2012-2013 Second Long Problem Set INSTRUCTIONS: Choose the best answer and shade the corresponding circle on your answer sheet. To change
More informationnrv P = P 1 (V2 2 V1 2 ) = nrt ( ) 1 T2 T 1 W = nr(t 2 T 1 ) U = d 2 nr T. Since a diatomic gas has 5 degrees of freedom, we find for our case that
Problem Figure. P-V diagram for the thermodynamics process described in Problem. a) To draw this on a P-V diagram we use the ideal gas law to obtain, T V = P nrv P = P V. V The process thus appears as
More information1 2 U CV. K dq I dt J nqv d J V IR P VI
o 5 o T C T F 3 9 T K T o C 73.5 L L T V VT Q mct nct Q F V ml F V dq A H k TH TC L pv nrt 3 Ktr nrt 3 CV R ideal monatomic gas 5 CV R ideal diatomic gas w/o vibration V W pdv V U Q W W Q e Q Q e Carnot
More informationChapter 27 Sources of Magnetic Field
Chapter 27 Sources of Magnetic Field In this chapter we investigate the sources of magnetic of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents). Ampere s Law
More informationSolutions to PHY2049 Exam 2 (Nov. 3, 2017)
Solutions to PHY2049 Exam 2 (Nov. 3, 207) Problem : In figure a, both batteries have emf E =.2 V and the external resistance R is a variable resistor. Figure b gives the electric potentials V between the
More informationECE 3209 Electromagnetic Fields Final Exam Example. University of Virginia Solutions
ECE 3209 Electromagnetic Fields Final Exam Example University of Virginia Solutions (print name above) This exam is closed book and closed notes. Please perform all work on the exam sheets in a neat and
More informationMarch 11. Physics 272. Spring Prof. Philip von Doetinchem
Physics 272 March 11 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272 - Spring 14 - von Doetinchem - 32 Summary Magnetic
More informationExam 2 Fall 2014
1 95.144 Exam 2 Fall 2014 Section instructor Section number Last/First name Last 3 Digits of Student ID Number: Show all work. Show all formulas used for each problem prior to substitution of numbers.
More informationMAGNETIC EFFECT OF CURRENT
MAGNETIC EFFECT OF CURRENT VERY SHORT ANSWER QUESTIONS Q.1 Who designed cyclotron? Q.2 What is the magnetic field at a point on the axis of the current element? Q.3 Can the path of integration around which
More informationUniversity Physics (Prof. David Flory) Chapt_31 Tuesday, July 31, 2007
Name: Date: 1. Suppose you are looking into one end of a long cylindrical tube in which there is a uniform electric field, pointing away from you. If the magnitude of the field is decreasing with time
More informationChapter 30. Sources of the Magnetic Field Amperes and Biot-Savart Laws
Chapter 30 Sources of the Magnetic Field Amperes and Biot-Savart Laws F B on a Charge Moving in a Magnetic Field Magnitude proportional to charge and speed of the particle Direction depends on the velocity
More informationA) 4 B) 3 C) 2 D) 5 E) 6
Coordinator: Saleem Rao Monday, January 01, 2018 Page: 1 Q1. A standing wave having three nodes is set up in a string fixed at both ends. If the frequency of the wave is doubled, how many antinodes will
More informationPHY 131 Review Session Fall 2015 PART 1:
PHY 131 Review Session Fall 2015 PART 1: 1. Consider the electric field from a point charge. As you move farther away from the point charge, the electric field decreases at a rate of 1/r 2 with r being
More information10/24/2012 PHY 102. (FAWOLE O.G.) Good day. Here we go..
Good day. Here we go.. 1 PHY102- GENERAL PHYSICS II Text Book: Fundamentals of Physics Authors: Halliday, Resnick & Walker Edition: 8 th Extended Lecture Schedule TOPICS: Dates Ch. 28 Magnetic Fields 12
More informationPH 1120 Term D, 2017
PH 1120 Term D, 2017 Study Guide 4 / Objective 13 The Biot-Savart Law \ / a) Calculate the contribution made to the magnetic field at a \ / specified point by a current element, given the current, location,
More informationPHYS General Physics for Engineering II FIRST MIDTERM
Çankaya University Department of Mathematics and Computer Sciences 2010-2011 Spring Semester PHYS 112 - General Physics for Engineering II FIRST MIDTERM 1) Two fixed particles of charges q 1 = 1.0µC and
More informationPhysics 42 Exam 3 Spring 2016 Name: M T W
Physics 42 Exam 3 Spring 2016 Name: M T W Conceptual Questions & Shorty (2 points each) 1. Which magnetic field causes the observed force? 2. If released from rest, the current loop will move a. upward
More informationExam 3 Topics. Displacement Current Poynting Vector. Faraday s Law Self Inductance. Circuits. Energy Stored in Inductor/Magnetic Field
Exam 3 Topics Faraday s Law Self Inductance Energy Stored in Inductor/Magnetic Field Circuits LR Circuits Undriven (R)LC Circuits Driven RLC Circuits Displacement Current Poynting Vector NO: B Materials,
More informationMagnets. Domain = small magnetized region of a magnetic material. all the atoms are grouped together and aligned
Magnetic Fields Magnets Domain = small magnetized region of a magnetic material all the atoms are grouped together and aligned Magnets Ferromagnetic materials domains can be forced to line up by applying
More informationFundamental Constants
Fundamental Constants Atomic Mass Unit u 1.660 540 2 10 10 27 kg 931.434 32 28 MeV c 2 Avogadro s number N A 6.022 136 7 36 10 23 (g mol) 1 Bohr magneton μ B 9.274 015 4(31) 10-24 J/T Bohr radius a 0 0.529
More informationPHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism)
PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism) NAME: August 2009---------------------------------------------------------------------------------------------------------------------------------
More informationChapter 30 Sources of the magnetic field
Chapter 30 Sources of the magnetic field Force Equation Point Object Force Point Object Field Differential Field Is db radial? Does db have 1/r2 dependence? Biot-Savart Law Set-Up The magnetic field is
More informationChapter 9 FARADAY'S LAW Recommended Problems:
Chapter 9 FARADAY'S LAW Recommended Problems: 5,7,9,10,11,13,15,17,20,21,28,29,31,32,33,34,49,50,52,58,63,64. Faraday's Law of Induction We learned that e. current produces magnetic field. Now we want
More information(a) zero. B 2 l 2. (c) (b)
1. Two identical co-axial circular loops carry equal currents circulating in the same direction: (a) The current in each coil decrease as the coils approach each other. (b) The current in each coil increase
More informationPHYS 1444 Section 02 Review #2
PHYS 1444 Section 02 Review #2 November 9, 2011 Ian Howley 1 1444 Test 2 Eq. Sheet Terminal voltage Resistors in series Resistors in parallel Magnetic field from long straight wire Ampére s Law Force on
More information14. Magnetic Field III
University of Rhode sland DigitalCommons@UR PHY 204: Elementary Physics Physics Course Materials 2015 14. Magnetic Field Gerhard Müller University of Rhode sland, gmuller@uri.edu Creative Commons License
More informationPhysics 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 informationInduction 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 informationSENIOR_ 2017_CLASS_12_PHYSICS_ RAPID REVISION_1_ DERIVATIONS IN FIRST FIVE LESSONS Page 1
INDIAN SCHOOL MUSCAT Department of Physics Class XII Rapid Revision -1 DERIVATIONS IN FIRST FIVE LESSONS 1) Field due to an infinite long straight charged wire Consider an uniformly charged wire of infinite
More informationLecture 33. PHYC 161 Fall 2016
Lecture 33 PHYC 161 Fall 2016 Faraday s law of induction When the magnetic flux through a single closed loop changes with time, there is an induced emf that can drive a current around the loop: Recall
More informationChapter 29: Magnetic Fields Due to Currents. PHY2049: Chapter 29 1
Chapter 29: Magnetic Fields Due to Currents PHY2049: Chapter 29 1 Law of Magnetism Unlike the law of static electricity, comes in two pieces Piece 1: Effect of B field on moving charge r r F = qv B (Chapt.
More informationLecture 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 informationName (Print): 4 Digit ID: Section:
Physics 11 Sample Common Exam 3: Sample 5 Name (Print): 4 Digit ID: Section: Honors Code Pledge: As an NJIT student I, pledge to comply with the provisions of the NJIT Academic Honor Code. I assert that
More informationThe Steady Magnetic Fields
The Steady Magnetic Fields Prepared By Dr. Eng. Sherif Hekal Assistant Professor Electronics and Communications Engineering 1/8/017 1 Agenda Intended Learning Outcomes Why Study Magnetic Field Biot-Savart
More informationPhysics 1302W.400 Lecture 33 Introductory Physics for Scientists and Engineering II
Physics 1302W.400 Lecture 33 Introductory Physics for Scientists and Engineering II In today s lecture, we will discuss generators and motors. Slide 30-1 Announcement Quiz 4 will be next week. The Final
More informationWhere k = 1. The electric field produced by a point charge is given by
Ch 21 review: 1. Electric charge: Electric charge is a property of a matter. There are two kinds of charges, positive and negative. Charges of the same sign repel each other. Charges of opposite sign attract.
More informationLast Homework. Reading: Chap. 33 and Chap. 33. Suggested exercises: 33.1, 33.3, 33.5, 33.7, 33.9, 33.11, 33.13, 33.15,
Chapter 33. Electromagnetic Induction Electromagnetic induction is the scientific principle that underlies many modern technologies, from the generation of electricity to communications and data storage.
More informationPHYS 241 EXAM #2 November 9, 2006
1. ( 5 points) A resistance R and a 3.9 H inductance are in series across a 60 Hz AC voltage. The voltage across the resistor is 23 V and the voltage across the inductor is 35 V. Assume that all voltages
More informationINGENIERÍA EN NANOTECNOLOGÍA
ETAPA DISCIPLINARIA TAREAS 385 TEORÍA ELECTROMAGNÉTICA Prof. E. Efren García G. Ensenada, B.C. México 206 Tarea. Two uniform line charges of ρ l = 4 nc/m each are parallel to the z axis at x = 0, y = ±4
More informationLecture 18: Faraday s Law & Motional EMF
Outline: Lecture 18: Faraday s Law & Motional EMF More on Faraday s Law. Motional EMF. E = dφ B dt loop E dl = d dt surface B da Iclicker Question A circular loop of wire is placed next to a long straight
More information