8.02 ELECTRICITY & MAGNETISM                                                     M I T. Physic Dept.
February 1, 2000
SPRING 2000                                                                            Hale Bradt, Lecturer
George Koster, Admin.

Assignment 1:
Reading:     Charge and Matter, Ch 27; Electric Field, Ch 28
                   Special Mathematics Supplement, pp. 1-18, up to Triple integrals
(Do problems A1,2 and B1,2,3,5)

Lectures                                                                                                     Recitations*

1A:         Wed 2/2            Static electricity                                                    Tu: Discuss Math Suppl.
                                        Charging and induction
                                        Coulomb's law
                                        Preview Section 27-4**

1B         Fri 2/4                Electric fields                                                       W/Th: Discuss Asmt 1
                                        Field lines
                                        Charge distributions
                                        Forces on charges
                                        Preview: 28-(1-3)

* The plan for the use of the Recitation is given here. The student is expected to arrive prepared. Preparation for the discussion sessions consists of a preview of the material, e.g. perusing the text and doing part (a) of each problem. Preparation for the quizzes should consist of having done the homework problems. The homework will not be collected or graded; the recitation quizzes will suffice for our evaluation of your understanding.

**Lecture preview consists of reading the text section indicated before lecture. Doing this will greatly increase the utility of the lecture for you. See notes under Organization below for more on the Assignments, Recitation Quizzes, etc.

Assignment 2: Reading:         Gauss's Law, Ch. 29-(Sections 1-6) (Charges beget E fields!)
                       Electric Potential. Ch. 30-(1-6)

Lectures:                                                                                                   Recitations:

2A         Mon 2/7          Flux                                                                       M/Tu: Quiz. on Asmt 1
                                    Gauss's Law
                                     Metals
                                    Preview: 29-(2-3)

2B        Wed 2/9          Applications of Gauss's law                                    W/Th: Discuss Asmt 2
                                    Electric potential defined
                                   Preview: 30-(1-3)

2C         Fri 2/11          Electric potential, cont.
                                    Various charge configurations
                                    Electric dipole
                                    Preview: 30-(4-6)

Assignment 3:
Reading: Electric Potential, Ch. 30-(7-11); Capacitors, Ch. 31-(1-4)

Lectures:                                                                                               Recitations:

3A         Mon 2/14       Potential Energy                                                   M/Tu: Quiz Asmt 2
                                    E = – grad V
                                    Metals
                                    Electrostatic Accelerators
                                    Preview: 30-(7-9)

            Weds 2/16      Review Test #1                                                    W/Th: Discuss Asmt 3
                                                                                                               (Probs 3-1, 3-2)
                                                                                                               Review for Test.

        Fri 2/18         TEST #1: Covers Assmts 1, 2 and a bit of 3. (Chs. 27 to 30-8 and including Problems 3-1 and 3-2.)

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Mon 2/21 HOLIDAY - Monday classes meet on Tuesday; Tues. sections get a holiday (sort of)
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3B    Tue 2/22!      High voltage breakdown                                          Tu: (Monday sections)
                                Capacitance                                                           Discuss Asmt 3
                                       Fields and charges
                                       Stored energy
                                       Parallel and series capacitors
                                Preview: 30-(1-2)

Assignment 4:
Reading: Capacitors and dielectrics, Ch. 31-(5-7)

Lectures:                                                                                                 Recitations:
4A     Weds 2/23    Dielectrics and Capacitors                                          W/Th: Quiz on Asmt 3
                               Charge and Polarization
                                     Atomic view
                                     Polarization and displacement vectors
                                     Gauss's law modified
                               Preview: 31-(5-6)

Assignment 5:
Reading:    Current and Resistance, Ch. 32-(1-6); [Optional: 32-(7-8)]
                  EMF and Circuits, Ch. 33; Magnetic Fields, Ch. 34-1, 2, 3

Lectures:                                                                                                    Recitations:
5A     Fri 2/25         Conductors
                               Ohm's Law
                               Energy losses
                               Preview: 32-(1-3)

5B     Mon 2/28      Electromotive Force (EMF)                                           M/Tu: Discuss Asmts 4,5
                               Batteries
                               Circuits: examples
                               Preview: 33-(1-2)

5C     Wed 3/1       Magnetic fields                                                               W/Th: Quiz on Asmts 4,5
                                   Magnetic field vector, B                                             (Approx. concurrent w. last
                                   Force on a moving charge                                          lecture covering assmt.)
                                   Particle accelerators
                              Preview: 34-(1-2)

Assignment 6:
Reading:     Magnetic Field, Ch. 34-(4-7)
                   Ampere's Law, Ch. 35-(1-6)
                         (Currents beget magnetic fields!)

Lectures:                                                                                               Recitations:
6A     Fri 3/3         Magnetic force on a current
                             Torque on a current loop
                             Electrical measurement instruments
                             Preview: 34-5

6B     Mon 3/6       Ampere's law                                                             M/Tu: Discuss Asmt 6
                             Symmetry requirements
                             Solenoids
                             Preview: 35-(5-6)

6C     Wed 3/8     Applications of Ampere's law                                        W/Th: Quiz on Asmt 6
                            Biot-Savart law
                            Preview: 35-(1-2)

Assignment 7:
Reading:     Faraday's Law of Induction, Ch. 36-(1-4)
                   (Changing magnetic flux begets currents!)

Lectures:                                                                                                 Recitations:
7A    Fri 3/10         Moving coils
                              Faraday's law of induction
                              Lenz's Law
                              Preview: 36-1,2

Mon     3/13           REVIEW for Test                                                      M/Tu: Review for Test

Wed 3/15         TEST 2. Covers Assmts 1-6 with
                              emphasis on 3–6 (Ch. 30-9-35)                             W/Th: Discuss Assmt 7

Fri 3/17 Special Lecture: Studies of Neutron Stars & Black Holes from Space

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SPRING VACATION: ENJOY IT; YOU DESERVE IT!

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Assignment 8:
Reading:     Faraday's law, cont., Ch. 36-(5-6); 36-7 optional; Inductance, Ch. 38-(1-4)
                   (We do Ch. 37 next week.)

Lectures:                                                                                                  Recitations:

8A     Mon 3/27     Faraday's Law (more)                                                 M/Tu: Quiz on Asmt 7
                                    Changing magnetic fields
                                    The Betatron
                                    Relative motion
                                    Preview: 36-5

8B     Wed 3/29     Inductance                                                                  W/Th: Discuss Asmt 8
                              LR circuits
                              Preview: 38-(1-2)

8C     Fri 3/31        Magnetic energy density
                              Mutual Inductance
                              Preview: 38-4

Assignment 9:
Reading:     Magnetic Properties of Matter, Ch. 37-(1-4); [Optional: 37-5]
                   Electromagnetic Oscillations, Ch. 38-(5-7) up to "Forced Oscillations" p. 834

Lectures:                                                                                               Recitations:
9A    Mon 4/3       Magnetic poles/dipoles                                               M/Tu: Quiz on Asmt 8
                             Gauss's Law for magnetism
                             Four kinds of magnetism
                             Preview: 37-1

9B   Wed 4/5       Three magnetic vectors: B, M, H                              W/Th: Discuss Asmt 9
                            Boundary conditions (not in text)
                            Preview: 37-3

9C   Fri 4/7           Free (LC) oscillations
                             RCL circuit
                             Preview: 38-(5-6)

Assignment 10: Assignment #10 consists of review problems for Ch. 35 - 38; it is optional.

Assignment 11A:
Reading:     Alternating Currents, Ch. 38-7; Ch. 39-(1-4); [Optional: 39-5]

Lectures:                                                                                              Recitations:
11A     Mon 4/10    Alternating currents                                                M/Tu: Quiz on Asmt 9
                               Driven RCL Circuit
                               Power in RCL Circuits
                               Preview: 39-(1-2)

11B    Wed 4/12     Alternating currents                                                W/Th: Discuss Asmt 11A
                                      Resonance                                                       (in lieu of quiz)
                                       Rectifiers                                                        Review for Test
                               Preview: 38-7, 39-3

Assignment 11B:
Reading:     Maxwell's Equations, Ch. 40-(1-2)         (Changing E field begets B field!)

Lectures:                                                                                          Recitations:

11C    Fri 4/14        REVIEW for Test

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Mon/Tu 4/17-18 -HOLIDAY
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      Weds 4/19   TEST #3. Covers entire course                         W/Th: Discuss Asmt 11B
                            through Ch. 39 with emphasis upon
                           Chapters 36-39. Less emphasis on Ch. 37.

Fri 4/21              Induced Magnetic fields
                          Displacement current
                          Preview: 40-2

Assignment 12:
Reading:     Maxwell's Equations, Ch. 40-3; [Optional: 40-4] (Pulling it all together)
                   Electromagnetic Waves, Ch. 41. (41-5 is required)

Lectures:                                                                                             Recitations:
12A     Mon 4/24     MAXWELL'S FOUR EQUATIONS -               M/Tu: Quiz on Asmt 11B
                                      WE DID IT!
                                Preview: 40-3

12B     Wed 4/26     EM waves consistent with Max. Eqs.                  W/Th: Discuss Asmt 12
                                Coax transmission line (not in text)
                               Preview: 41-3

12C     Fri 4/28        Energy and Momentum of Light
                                Preview: 41-(4-5)

Assignment 13:
Reading:     Differential versions of Maxwell's equations; in Notes Assignment 13
                   Wave equation; in Notes Assignment 13
                   Full use of M.E. to obtain EM waves; in Notes Assignment 13
                   Nature of Light, Ch. 42 (optional reading)

Lectures:                                                                                           Recitations:
13A    Mon 5/1   Advanced Maxwell's equations                                M/Tu: Quiz on Asmt 12
                          Differential form
                          Wave Equation
                         Preview: Notes pp. 13-2,3,4

13B Wed 5/3     Radiation by Accel. Charge                                     W/Th: Discuss Asmt. 13
                          Moving sources; special relativity                             (Do problems 13-1,2,3)
                          Preview: None

13C Fri 5/5         Full Use of Maxwell's Equations
                           to obtain the wave properties.
                          Preview: Notes pp. 13-7 to 13-11

Final Week:
    Mon 5/8         REVIEW for Final Exam pt. 1                                 M/Tu: Discuss Asmt 13
                                                                                                         Begin review for final exam.

    Wed 5/10       REVIEW for Final Exam pt. 2                                 W/Th: Review

THE FINAL EXAM will be a 2 hour exam (with 3 hours allowed). There will probably be six
problems of which 3 or 4 will cover the material of Chapters 27-39. The others will be based on
Chapters 40-41 and the Notes of Assignment 13.