Physics 8.02 Exam Two Equation Sheet Spring 2004

Size: px
Start display at page:

Download "Physics 8.02 Exam Two Equation Sheet Spring 2004"

Transcription

1 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 a B ds oi contour through where I through is the current flowing through the open surface bounded by the contour V many pointcharges N i 1 4 r r o q i i B center of circle of radius a oi a C Q V Q V C I through J da open surface ds right-handed wrt da U = 1 C V = Q C I qna wire v drift I J A wire E J qnv drift where is the resistivity J E where 1/ the conductivity V = i R L R A L A 1 R parallel = 1 R R R series = R 1 + R V Pohmic heating iv i R (joules/sec) R q o vrˆ B 4 r 0 U EE dv all space vol F q v B ext df I ds B ext Cross-products of unit vectors: ˆi ˆi ˆjˆjkˆ k ˆ 0 ˆi ˆj k ˆ ˆi kˆ ˆj ˆj kˆ ˆi Useful integrals: d 1/ ( c f ) ( c f ) f d 1 ln( c f ) ( c f ) f d 1 1 c f f c f ( ) ( ) 1/ Useful Small Argument Approximations (1 ) n 1 n for <<1 ln(1 ) for <<1

2 Problem 1 (5 Points) Circle your choice for the correct answer to the eight 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 oi a dl 4 b oi a 3 / a dl 4 a b oi b dl 4 b oi a 3 / b dl 4 a b oi dl 4 a b Page

3 A: Eight parallel wires cut the page perpendicularly at the points shown. All the wires carry the same magnitude of current I 0, but some carry current into the page and some carry current out of the page. For wires 1 to 4, the current flows up out of the page; for the rest, the current flows down into the page. If we valuate B d s along the closed path (see figure) in the direction indicated by the arrowhead, we get (a) 4 o I o (b) 3 o I o (c) o I o (d) oio (e) 0 (f) oio (g) o I o (h) 3 o I o (i) 4 o I o F: A wire loop carries current I 1, and is located near an infinite wire carrying current I. The currents flow in the directions shown. The net force on the wire loop due to the presence of the infinite wire is (a) upwards (b) downwards (c) 0 (d) to the left (e) to the right G: The coil below has current flowing clockwise as seen from above. It sits in an external magnetic field shown by the field lines below. The coil will feel a magnetic force that is Page 3

4 (a) Upwards (b) Downwards (c) Zero Page 4

5 Problem (5 points): A Bainbridge mass spectrometer is shown in the figure. A charged particle with mass m, charge q and speed V enters from the bottom of the figure and traces out the trajectory shown in the fields shown. The only electric field is in the region where the trajectory of the charge is a straight line. (a) Is the sign of the charge positive or negative? To get credit for your answer you must give a logical reason to justify it. (b) When the particle is moving through the first (straight-line) segment of its trajectory, what is its speed V, in terms of E and B? Justify your answer. Page 5

6 (c) When the charge is moving through the second (curved) segment of its trajectory, derive a relation between the radius r of the arc through which it moves, its charge q, its speed V, and B o. To get credit for your answer, you must show the details of your derivation. (d) The charge hits the left wall of the spectrometer at a vertical distance h above where it entered the upper region and a horizontal distance L to the left of where it entered the upper region (see sketch). Given this information and your result from above, what is the speed of the particle in terms of h, L, q, m, and B o? Page 6

7 Problem 3 (5 points): A wire segment is bent into the shape of an Archimedes spiral (see sketch). The equation that describes the curve in the range 0 (see sketch) is b r( ) a, for 0 where is the angle from the x-axis in radians ( radians is 180 degrees). The point P is located at the origin of our xy coordinate system. The vectors e ˆ r and e ˆ are the unit vectors in the radial and azimuthal directions, respectively, as shown. The wire segment carries current I, flowing in the sense indicated. (a) A infinitesimal line segment ds of the spiral is located at a distance r from the origin and at an angle from the x-axis. What is the magnetic field db at the point P due to this current carrying segment of the wire? You may use the expression ds dr eˆ r d eˆ. Give both the magnitude and direction. r Page 7

8 (b) What is the total magnetic field B at point P due to the entire Archimedes spiral segment between 0? You will find useful one of the integrals on the formula sheet. (c) Suppose the distance b goes to zero. What does your expression above become in this limit? Is this what you expect? Justify your answer. You will find useful one of the small argument approximations given on the formula sheet. Page 8

9 Problem 4 (5 points): A coaxial cable consists of a solid inner conductor of radius a, surrounded by a concentric cylindrical tube of inner radius b and outer radius c. The conductors carry equal and opposite currents I 0 distributed uniformly across their crosssections. Determine the magnetic field at a distance r from the axis for the following ranges of radii. On the figure below, draw the amperean loop you use in each case. (a) r < a (b) a < r < b Page 9

10 (c) b < r < c (d) Plot your answers for the magnitude of B above on the graph below. Label your vertical axis or you will lose points. Page 10

11 Problem (5 points): A current I flows around a continuous path that consists of portions of two concentric circles of radii R and R/, 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 ds shown in the sketch. Indicate on the sketch the vector rˆ you use and the direction of db. Give the magnitude of db in terms of I, R, dl, and o. (b) Using your expression in (a), find the magnetic field at P due to the larger circle segment only. Give its magnitude and direction. (c) What is the total field B at P? Give its magnitude and direction. Page 11

12 Problem 4 (5 Points) Circle your choice for the correct answer to the five questions below. A: A particle with known charge q and known mass m is performing circular motion in a uniform magnetic field of known magnitude B (as usual, the orbit is perpendicular to the magnetic field). With q, m, and B known, examine the following statements: (a) The radius R of the orbit can be determined uniquely. (b) The speed v of the particle can be determined uniquely. (c) The angular velocity ω of the particle can be determined uniquely. Circle the one correct statement below 1. Only (a) is correct.. Only (b) is correct. 3. Only (c) is correct 4. Only (a) and (b) are correct. 5. Only (a) and (c) are correct. 6. Only (b) and (c) are correct. 7. All are correct. 8. None is correct B: Consider an infinitely long cylindrical solenoid of radius R with n turns per unit length and a current I. The magnetic field due to this solenoid satisfies: 1. B 0 for r < R and B 0nI for r > R.. B 0nI for r < R and B 0 for r > R B 0nI for r < R and B 0 for r > R B 0 for r < R and B 0nI for r > R. 5. B 0nI for all r. Page 1

13 C: Consider a charged circular loop of radius R and linear charge density λ (charge per unit length) glued down to the loop. Suppose the loop is rotating with angular velocity ω about the axis normal to the loop and going through its center. The loop acts as a magnetic dipole with magnetic dipole moment given by R R R 3 R R 3 D: An infinitely long wire carries a current I. What is the magnitude B of the magnetic field a distance r away from the wire? 1. 0I B r. I 0 B r 3. I 0 B r 4. None of the above. A: A charged particle of mass m and charge q has a speed v and moves in a circular orbit in a magnetic field of strength B. 1. a noticeable force and no noticeable torque. no noticeable force and a noticeable torque 3. a noticeable force and a noticeable torque 4. no noticeable force and no noticeable torque B: 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, 6. The magnitude of the magnetic field is constant. 7. The magnitude of the magnetic field varies as 1/r 8. The magnitude of the magnetic field varies as r 9. The magnitude of the magnetic field varies as 1/r 10. The magnitude of the magnetic field varies as r Page 13

14 C: A segment of a wire of length L carries a current I (see sketch above). The magnitude of the magnetic field a distance z from the center of the wire segment along its perpendicular bisector (see sketch) is given by the expression oi 4 oi 4 I o 4 oi 4 oi 4 L / L / 3 / x dx x z x dx L / L / x z z dx L / L / 3 / x z z dx L / L / x z dx L / L / x z I. The sketch shows a current carrying element of wire. The element has length ds, cross-sectional area A, and carries current I. It sits in a constant external magnetic field B ext. The charge carriers in the wire have number density per unit volume n, positive charge q > 0, and drift speed v drift. Starting from the Lorentz force law for the force on a single charge carrier, F q v drift B ext, derive an expression for the total magnetic force on this current carrying line element in terms of I, ds, and B ext. You must show the steps you use in arriving at this formula to be given credit. Page 14

15 II. The sketch shows a resistor with resistance R, length L and cross-sectional area A. It is made out of material with resistivity. Starting from Ohm s Law in microscopic form, E = J, derive the relationship between R, L, A, and You must show the steps you use in arriving at this formula to be given credit. III. The sketch shows two co-axial current-carrying rings. The rings have current flowing in them in the same sense, as shown (clockwise as viewed from the top). Are these rings attracted to each other, repelled by each other, or do they feel no mutual force? You must explain how you arrived at this answer to be given credit. Page 15

16 E: Two wires run parallel to the z-azis, which is out of the page. The wire on the right carries a current I 1 > 0 out of the page. The wire on the left carries a current of I = I 1 / also out of the page. 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. (a) (b) (c) (d) Page 16

17 Problem 3 (5 points): For a finite wire carrying a current I the contribution to the magnetic field at point P is 0 Br () (cos1 cos ) r where B is the magnitude of the magnetic field and 1 and are the angles indicated in the figure: Consider a current I on a piece of wire of length a: (see figure below). (a) Find the magnitude B of the magnetic field at point P located a distance r away from the wire and equidistant from the endpoints of the wire. On the above diagram indicate with an or whether the field points in or out of the page. Page 17

18 Consider a square loop of side a lying on the (x, y) plane as illustrated on the figure below (corners at (x, y) = ( a, a) and ( a, a) ). We are interested in the magnetic field at the point P on the z axis, a distance z from the origin. (b) What is the magnitude B 1 of the magnetic field at P contributed separately by each of the sides of the loop. Give your answer in terms of a, z, and other constants ( 0, I,,...) [You may wish to use the result of (a).] Page 18

19 (c) Find the magnitude B t of the total magnetic field at P. What direction does point? B t (d) Calculate the leading value of the magnetic field B t far away from the loop, namely, when z >> a. Write this magnetic field in terms of z and the dipole moment m of the current loop (as well as constants 0,, ). Page 19

20 Problem 4 (5 points): A long cylindrical cable consists of a conducting cylindrical shell of inner radius a and outer radius b. The current density J in the shell is out of the R page (see sketch) and varies with radius as Jr () Jo for a r b and is zero outside r of that range. Find the magnetic field in each of the following regions, indicating both magnitude and direction. Show your work and your Amperean loops. (a) r < a (b) a < r < b Page 0

21 (c) r > b. Give also B( r b), the value of the magnetic field at r b. (d) Plot your previous answers for the magnitude of B on the graph below. Page 1

22 Problem 1: Three Short Questions (5 points total): Page

23 Problem : Biot-Savart Law and Magnetic Dipole Moment (5 points) A current I flows around a continuous path that consists of portions of two concentric circles of radii R and 3R, respectively, and two straight radial segments, as shown. The point P is at the common center of the two circle segments. (a) What is the magnitude and direction of the magnetic field B at P due to the outer circle segment? Use the Biot-Savart Law to calculate this field. Show your work. (b) What is the magnitude and direction of the magnetic field B at P due to the two straight line segments of the current loop? Use the Biot-Savart Law to calculate this field. Show your work. (c) What is the magnitude and direction of the magnetic field B at P due to the inner circle segment? (d) What is the total field B at the point P due to the entire current loop. Be sure to specify the direction of B. (e) What is the magnetic dipole moment of this current loop? Give its magnitude and direction. Page 3

Physics 8.02 Exam Two Mashup Spring 2003

Physics 8.02 Exam Two Mashup Spring 2003 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

More information

1. 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 information

B r Solved Problems Magnetic Field of a Straight Wire

B 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

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2013 Exam 3 Equation Sheet. closed fixed path. ! = I ind.

MASSACHUSETTS 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 information

Homework 6 solutions PHYS 212 Dr. Amir

Homework 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 information

Chapter 30 Sources of the magnetic field

Chapter 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 information

1-1 Magnetism. q ν B.(1) = q ( ) (2)

1-1 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

Magnetic Fields Due to Currents

Magnetic 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 information

A) 4 B) 3 C) 2 D) 5 E) 6

A) 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 information

Magnetic Fields; Sources of Magnetic Field

Magnetic 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 information

MAGNETIC EFFECT OF CURRENT

MAGNETIC 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 information

Physics 2401 Summer 2, 2008 Exam III

Physics 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 information

Tridib s Physics Tutorials. NCERT-XII / Unit- 4 Moving charge and magnetic field

Tridib s Physics Tutorials. NCERT-XII / Unit- 4 Moving charge and magnetic field MAGNETIC FIELD DUE TO A CURRENT ELEMENT The relation between current and the magnetic field, produced by it is magnetic effect of currents. The magnetic fields that we know are due to currents or moving

More information

Handout 8: Sources of magnetic field. Magnetic field of moving charge

Handout 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 information

Homework # Physics 2 for Students of Mechanical Engineering. Part A

Homework # Physics 2 for Students of Mechanical Engineering. Part A Homework #9 203-1-1721 Physics 2 for Students of Mechanical Engineering Part A 5. A 25-kV electron gun in a TV tube fires an electron beam having a diameter of 0.22 mm at the screen. The spot on the screen

More information

ELECTRO MAGNETIC FIELDS

ELECTRO MAGNETIC FIELDS SET - 1 1. a) State and explain Gauss law in differential form and also list the limitations of Guess law. b) A square sheet defined by -2 x 2m, -2 y 2m lies in the = -2m plane. The charge density on the

More information

Set 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 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 information

Physics 2212 G Quiz #4 Solutions Spring 2018 = E

Physics 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 information

PHY 131 Review Session Fall 2015 PART 1:

PHY 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 information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2014 Final Exam Equation Sheet. B( r) = µ o 4π

MASSACHUSETTS 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 information

Ch. 28: Sources of Magnetic Fields

Ch. 28: Sources of Magnetic Fields Ch. 28: Sources of Magnetic Fields Electric Currents Create Magnetic Fields A long, straight wire A current loop A solenoid Slide 24-14 Biot-Savart Law Current produces a magnetic field The Biot-Savart

More information

Multiple Choice Questions for Physics 1 BA113 Chapter 23 Electric Fields

Multiple Choice Questions for Physics 1 BA113 Chapter 23 Electric Fields Multiple Choice Questions for Physics 1 BA113 Chapter 23 Electric Fields 63 When a positive charge q is placed in the field created by two other charges Q 1 and Q 2, each a distance r away from q, the

More information

1) in the direction marked 1 2) in the direction marked 2 3) in the direction marked 3 4) out of the page 5) into the page

1) in the direction marked 1 2) in the direction marked 2 3) in the direction marked 3 4) out of the page 5) into the page Q1) In the figure, the current element i dl, the point P, and the three vectors (1, 2, 3) are all in the plane of the page. The direction of db, due to this current element, at the point P is: 1) in the

More information

/20 /20 /20 /60. Dr. Galeazzi PHY207 Test #3 November 20, I.D. number:

/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 information

Physics 1308 Exam 2 Summer 2015

Physics 1308 Exam 2 Summer 2015 Physics 1308 Exam 2 Summer 2015 E2-01 2. The direction of the magnetic field in a certain region of space is determined by firing a test charge into the region with its velocity in various directions in

More information

PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism)

PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism) PHYSICS 3204 PUBLIC EXAM QUESTIONS (Magnetism &Electromagnetism) NAME: August 2009---------------------------------------------------------------------------------------------------------------------------------

More information

4. An electron moving in the positive x direction experiences a magnetic force in the positive z direction. If B x

4. An electron moving in the positive x direction experiences a magnetic force in the positive z direction. If B x Magnetic Fields 3. A particle (q = 4.0 µc, m = 5.0 mg) moves in a uniform magnetic field with a velocity having a magnitude of 2.0 km/s and a direction that is 50 away from that of the magnetic field.

More information

Question Bank 4-Magnetic effects of current

Question 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 information

Physics 3211: Electromagnetic Theory (Tutorial)

Physics 3211: Electromagnetic Theory (Tutorial) Question 1 a) The capacitor shown in Figure 1 consists of two parallel dielectric layers and a voltage source, V. Derive an equation for capacitance. b) Find the capacitance for the configuration of Figure

More information

Exam II. Solutions. Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points. The wires repel each other.

Exam II. Solutions. Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points. The wires repel each other. Exam II Solutions Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points. 1.! Concerning electric and magnetic fields, which of the following is wrong?!! A

More information

Magnetic Fields due to Currents

Magnetic Fields due to Currents Observation: a current of moving charged particles produces a magnetic field around the current. Chapter 29 Magnetic Fields due to Currents Magnetic field due to a current in a long straight wire a current

More information

Q1. Ans: (1.725) =5.0 = Q2.

Q1. 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 information

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

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 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 information

Class XII- Physics - Assignment Topic: - Magnetic Effect of Current

Class XII- Physics - Assignment Topic: - Magnetic Effect of Current LJPS Gurgaon 1. An electron beam projected along +X axis, experiences a force due to a magnetic field along +Y axis. What is the direction of the magnetic field? Class XII- Physics - Assignment Topic:

More information

Homework (lecture 11): 3, 5, 9, 13, 21, 25, 29, 31, 40, 45, 49, 51, 57, 62

Homework (lecture 11): 3, 5, 9, 13, 21, 25, 29, 31, 40, 45, 49, 51, 57, 62 Homework (lecture ): 3, 5, 9, 3,, 5, 9, 3, 4, 45, 49, 5, 57, 6 3. An electron that has velocity: moves through the uniform magnetic field (a) Find the force on the electron. (b) Repeat your calculation

More information

Physics 212 Question Bank III 2006

Physics 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 information

Chapter 12. Magnetism and Electromagnetism

Chapter 12. Magnetism and Electromagnetism Chapter 12 Magnetism and Electromagnetism 167 168 AP Physics Multiple Choice Practice Magnetism and Electromagnetism SECTION A Magnetostatics 1. Four infinitely long wires are arranged as shown in the

More information

Final Exam: Physics Spring, 2017 May 8, 2017 Version 01

Final Exam: Physics Spring, 2017 May 8, 2017 Version 01 Final Exam: Physics2331 - Spring, 2017 May 8, 2017 Version 01 NAME (Please Print) Your exam should have 11 pages. This exam consists of 18 multiple-choice questions (2 points each, worth 36 points), and

More information

week 8 The Magnetic Field

week 8 The Magnetic Field week 8 The Magnetic Field General Principles General Principles Applications Start with magnetic forces on moving charges and currents A positive charge enters a uniform magnetic field as shown. What is

More information

Magnetostatics III. P.Ravindran, PHY041: Electricity & Magnetism 1 January 2013: Magntostatics

Magnetostatics 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 information

Louisiana State University Physics 2102, Exam 3 April 2nd, 2009.

Louisiana 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 information

General Physics (PHYC 252) Exam 4

General 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 information

Physics 2220 Fall 2010 George Williams THIRD MIDTERM - REVIEW PROBLEMS

Physics 2220 Fall 2010 George Williams THIRD MIDTERM - REVIEW PROBLEMS Physics 2220 Fall 2010 George Williams THIRD MIDTERM - REVIEW PROBLEMS Solution sets are available on the course web site. A data sheet is provided. Problems marked by "*" do not have solutions. 1. An

More information

Exam 2, Phy 2049, Spring Solutions:

Exam 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 information

Physics 212 Question Bank III 2010

Physics 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 information

Physics 1402: Lecture 17 Today s Agenda

Physics 1402: Lecture 17 Today s Agenda Physics 1402: Lecture 17 Today s Agenda Announcements: Midterm 1 distributed today Homework 05 due Friday Magnetism Trajectory in Constant B Field Suppose charge q enters B field with velocity v as shown

More information

P202 Practice Exam 2 Spring 2004 Instructor: Prof. Sinova

P202 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 information

Physics 202, Lecture 13. Today s Topics. Magnetic Forces: Hall Effect (Ch. 27.8)

Physics 202, Lecture 13. Today s Topics. Magnetic Forces: Hall Effect (Ch. 27.8) 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 information

Physics 42 Exam 3 Spring 2016 Name: M T W

Physics 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 information

Physics 169. Luis anchordoqui. Kitt Peak National Observatory. Monday, March 13, 17

Physics 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 information

Electrodynamics Exam 3 and Final Exam Sample Exam Problems Dr. Colton, Fall 2016

Electrodynamics 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 information

The Steady Magnetic Field LECTURE 7

The 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 information

Lecture 29. PHYC 161 Fall 2016

Lecture 29. PHYC 161 Fall 2016 Lecture 29 PHYC 161 Fall 2016 Magnetic Force and Torque on a Current Loop Let s look at the Net force and net torque on a current loop: df Idl B F IaB top and bottom F IbB sides But, the forces on opposite

More information

Force between parallel currents Example calculations of B from the Biot- Savart field law Ampère s Law Example calculations

Force between parallel currents Example calculations of B from the Biot- Savart field law Ampère s Law Example calculations Today in Physics 1: finding B Force between parallel currents Example calculations of B from the Biot- Savart field law Ampère s Law Example calculations of B from Ampère s law Uniform currents in conductors?

More information

Exam IV, Magnetism May 1 st, Exam IV, Magnetism

Exam IV, Magnetism May 1 st, Exam IV, Magnetism Exam IV, Magnetism Prof. Maurik Holtrop Department of Physics PHYS 408 University of New Hampshire March 27 th, 2003 Name: Student # NOTE: There are 4 questions. You have until 9 pm to finish. You must

More information

Physics 4B Chapter 29: Magnetic Fields Due to Currents

Physics 4B Chapter 29: Magnetic Fields Due to Currents Physics 4B Chapter 29: Magnetic Fields Due to Currents Nothing can bring you peace but yourself. Ralph Waldo Emerson The foolish man seeks happiness in the distance, the wise man grows it under his feet.

More information

CH 19-1 Magnetic Field

CH 19-1 Magnetic Field CH 19-1 Magnetic Field Important Ideas A moving charged particle creates a magnetic field everywhere in space around it. If the particle has a velocity v, then the magnetic field at this instant is tangent

More information

CHAPTER 4: MAGNETIC FIELD

CHAPTER 4: MAGNETIC FIELD CHAPTER 4: MAGNETIC FIELD PSPM II 2005/2006 NO. 4 4. FIGURE 3 A copper rod of mass 0.08 kg and length 0.20 m is attached to two thin current carrying wires, as shown in FIGURE 3. The rod is perpendicular

More information

PHYS102 Previous Exam Problems. Induction

PHYS102 Previous Exam Problems. Induction PHYS102 Previous Exam Problems CHAPTER 30 Induction Magnetic flux Induced emf (Faraday s law) Lenz law Motional emf 1. A circuit is pulled to the right at constant speed in a uniform magnetic field with

More information

Magnetic Force on a Moving Charge

Magnetic Force on a Moving Charge Magnetic Force on a Moving Charge Electric charges moving in a magnetic field experience a force due to the magnetic field. Given a charge Q moving with velocity u in a magnetic flux density B, the vector

More information

SENIOR_ 2017_CLASS_12_PHYSICS_ RAPID REVISION_1_ DERIVATIONS IN FIRST FIVE LESSONS Page 1

SENIOR_ 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 information

(a) zero. B 2 l 2. (c) (b)

(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 information

March 11. Physics 272. Spring Prof. Philip von Doetinchem

March 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 information

PSI AP Physics C Sources of Magnetic Field. Multiple Choice Questions

PSI AP Physics C Sources of Magnetic Field. Multiple Choice Questions PSI AP Physics C Sources of Magnetic Field Multiple Choice Questions 1. Two protons move parallel to x- axis in opposite directions at the same speed v. What is the direction of the magnetic force on the

More information

Physics 1308 Exam 2 Summer Instructions

Physics 1308 Exam 2 Summer Instructions Name: Date: Instructions All Students at SMU are under the jurisdiction of the Honor Code, which you have already signed a pledge to uphold upon entering the University. For this particular exam, you may

More information

Biot-Savart. The equation is this:

Biot-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 information

Chapter 27 Sources of Magnetic Field

Chapter 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 information

Name (Print): 4 Digit ID: Section:

Name (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 information

TIME 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 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 information

The Steady Magnetic Fields

The 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 information

CPS lesson Magnetism ANSWER KEY

CPS lesson Magnetism ANSWER KEY CPS lesson Magnetism ANSWER KEY 1. Two wire strips carry currents from P to Q and from R to S. If the current directions in both wires are reversed, the net magnetic force of strip 1 on strip 2: * A. remains

More information

Ampere s Law. Outline. Objectives. BEE-Lecture Notes Anurag Srivastava 1

Ampere 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 information

ds around the door frame is: A) T m D) T m B) T m E) none of these C) T m

ds around the door frame is: A) T m D) T m B) T m E) none of these C) T m Name: Date: 1. A wire carrying a large current i from east to west is placed over an ordinary magnetic compass. The end of the compass needle marked N : A) points north B) points south C) points east D)

More information

10/24/2012 PHY 102. (FAWOLE O.G.) Good day. Here we go..

10/24/2012 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 information

Exam 3 November 19, 2012 Instructor: Timothy Martin

Exam 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 information

Magnetostatics: Part 1

Magnetostatics: Part 1 Magnetostatics: Part 1 We present magnetostatics in comparison with electrostatics. Sources of the fields: Electric field E: Coulomb s law. Magnetic field B: Biot-Savart law. Charge Current (moving charge)

More information

MAGNETIC PROBLEMS. (d) Sketch B as a function of d clearly showing the value for maximum value of B.

MAGNETIC PROBLEMS. (d) Sketch B as a function of d clearly showing the value for maximum value of B. PHYS2012/2912 MAGNETC PROBLEMS M014 You can investigate the behaviour of a toroidal (dough nut shape) electromagnet by changing the core material (magnetic susceptibility m ) and the length d of the air

More information

1. The figure shows two long parallel wires carrying currents I 1 = 15 A and I 2 = 32 A (notice the currents run in opposite directions).

1. The figure shows two long parallel wires carrying currents I 1 = 15 A and I 2 = 32 A (notice the currents run in opposite directions). Final Eam Physics 222 7/29/211 NAME Use o = 8.85 1-12 C 2 /N.m 2, o = 9 1 9 N.m 2 /C 2, o/= 1-7 T m/a There are additional formulas in the final page of this eam. 1. The figure shows two long parallel

More information

Physics 227 Final Exam December 18, 2007 Prof. Coleman and Prof. Rabe. Useful Information. Your name sticker. with exam code

Physics 227 Final Exam December 18, 2007 Prof. Coleman and Prof. Rabe. Useful Information. Your name sticker. with exam code Your name sticker with exam code Physics 227 Final Exam December 18, 2007 Prof. Coleman and Prof. Rabe SIGNATURE: 1. The exam will last from 4:00 p.m. to 7:00 p.m. Use a #2 pencil to make entries on the

More information

PHYSICS ASSIGNMENT ES/CE/MAG. Class XII

PHYSICS ASSIGNMENT ES/CE/MAG. Class XII PHYSICS ASSIGNMENT ES/CE/MAG Class XII MM : 70 1. What is dielectric strength of a medium? Give its value for vacuum. 1 2. What is the physical importance of the line integral of an electrostatic field?

More information

Chapter 28 Magnetic Fields Sources

Chapter 28 Magnetic Fields Sources Chapter 28 Magnetic Fields Sources All known magnetic sources are due to magnetic dipoles and inherently macroscopic current sources or microscopic spins and magnetic moments Goals for Chapter 28 Study

More information

Physics 2135 Exam 3 April 18, 2017

Physics 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 information

Physics 42 Exam 3 Fall 2013 PRINT Name:

Physics 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 information

CHAPTER 30. Answer to Checkpoint Questions. 1. (a), (c), (b) 2. b, c, a 3. d, tie of a and c, then b 4. (d), (a), tie of (b) and (c) (zero)

CHAPTER 30. Answer to Checkpoint Questions. 1. (a), (c), (b) 2. b, c, a 3. d, tie of a and c, then b 4. (d), (a), tie of (b) and (c) (zero) 800 CHAPTER 30 AMPERE S LAW CHAPTER 30 Answer to Checkpoint Questions. (a), (c), (b). b, c, a 3. d, tie of a and c, then b. (d), (a), tie of (b) and (c) (zero) Answer to Questions. (c), (d), then (a) and

More information

Chapter 30. Sources of the Magnetic Field Amperes and Biot-Savart Laws

Chapter 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 information

Lorentz Force. Velocity Selector

Lorentz Force. Velocity Selector Lecture 9-1 Lorentz Force Let E and denote the electric and magnetic vector fields. The force F acting on a point charge q, moving with velocity v in the superimosed E fields is: F qe v This is called

More information

Physics 212 / Summer 2009 Name: ANSWER KEY Dr. Zimmerman Ch. 26 Quiz

Physics 212 / Summer 2009 Name: ANSWER KEY Dr. Zimmerman Ch. 26 Quiz Physics 1 / Summer 9 Name: ANSWER KEY h. 6 Quiz As shown, there are three negatie charges located at the corners of a square of side. There is a single positie charge in the center of the square. (a) Draw

More information

Do not fill out the information below until instructed to do so! Name: Signature: Section Number:

Do not fill out the information below until instructed to do so! Name: Signature:   Section Number: Do not fill out the information below until instructed to do so! Name: Signature: E-mail: Section Number: No calculators are allowed in the test. Be sure to put a box around your final answers and clearly

More information

1. A ring of radius α has a charge distribution on it that varies as λ(θ) = λ 0 sin(θ), where λ 0 > 0, as shown in the figure.

1. A ring of radius α has a charge distribution on it that varies as λ(θ) = λ 0 sin(θ), where λ 0 > 0, as shown in the figure. EACH OF THE LECTURE QUESTIONS 1-22 IS WORTH 5 POINTS I. COULOMB S LAW 1. A ring of radius α has a charge distribution on it that varies as λ(θ) = λ 0 sin(θ), where λ 0 > 0, as shown in the figure. What

More information

Concept Questions with Answers. Concept Questions with Answers W11D2. Concept Questions Review

Concept 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 information

Downloaded from

Downloaded from Question 4.1: A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil? Number of turns

More information

AP Physics C Mechanics Objectives

AP Physics C Mechanics Objectives AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph

More information

f n+2 f n = 2 = = 40 H z

f n+2 f n = 2 = = 40 H z Coordinator: Dr.I.M.Nasser Monday, May 18, 2015 Page: 1 Q1. Q2. One end of a stretched string vibrates with a period of 1.5 s. This results in a wave propagating at a speed of 8.0 m/s along the string.

More information

Exam 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. 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 information

Q1. A wave travelling along a string is described by

Q1. A wave travelling along a string is described by Coordinator: Saleem Rao Wednesday, May 24, 2017 Page: 1 Q1. A wave travelling along a string is described by y( x, t) = 0.00327 sin(72.1x 2.72t) In which all numerical constants are in SI units. Find the

More information

Physics 208, Spring 2016 Exam #3

Physics 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 information

Louisiana State University Physics 2102, Exam 3, November 11, 2010.

Louisiana 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 information

The Steady Magnetic Field

The Steady Magnetic Field The Steady Magnetic Field Prepared By Dr. Eng. Sherif Hekal Assistant Professor Electronics and Communications Engineering 1/13/016 1 Agenda Intended Learning Outcomes Why Study Magnetic Field Biot-Savart

More information

Sources of Magnetic Field

Sources of Magnetic Field Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 28 Looking forward

More information

Electricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017

Electricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017 Electricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017 1. a. Find the capacitance of a spherical capacitor with inner radius l i and outer radius l 0 filled with dielectric

More information