Th 8-25

1 - Mathematical Review

1.1 Vector Algebra

Syllabus

Chapter Handout 1

Tu 8-30

1.2 Differential Calculus

notebook 12

notebook 14

notebook 15

Th 9-1

curls

1.3 Line and surface integrals

Chapter Handout 1: problems 3, 5, 7, 8, 9, 10

Text Book: 1.13, 1.15, 1.18

(1.18 is ok to turn in next week)

answer

Tu 9-6

1.3 Integral Theorems (Gauss, Stokes)

Th 9-8

1.4 Curvilinear Coordinates

notebook for example 30

1.5 Dirac delta function

Text Book:

(1.18 if you did not last week)

1.21  (lots of work)

1.28 line integral

1.31 check line integral grad

1.57 Stoke’s theorem

( 1.53 divergence theorem -- this one is okay to turn in next week)

Handout:

1.19 div grad

answers

Tu 9-13

2 – Electrostatics

2.1-2 Coulomb force and electric field

Problem set 1 issued

Th 9-15

2.2 –Electric field – Gauss law, examples

notebook for examples 4 and 5

2.3 –Electric Potential

( 1.53 book  divergence theorem – if you did not receive credit last week)

Handout: 1-36

Book: 1.37(spherical unit vectors), 1.44 (delta function), 1.62 (div, rot, delta), 1.48 (delta 3d), 2.4 (E square loop)

answers

Consultations F, M and Tu

Sign Up in Google Calendar

Tu 9-20

2.3 –Electric Potential

Consultations F, M and Tu

Sign Up in Google Calendar

Th 9-22

2.3 – Electrostatic potential – examples, boundary conditions

Text book 2.10 (flux through side of cube – there is a hard way and an easy way to solve this problem)

Text book 2.13 (field of long wire)

answers

Problem set 1 due

PS1 quiz answers

PS1 problem answers

Tu 9-27

2.4 Work and energy

Th 9-29

Work and energy

2.5 Conductors in Equilibrium

Book:

2.26 (potential difference cone),

2.30 (boundary conditions on cylinder)

2.31 (energy of point charge square)

2.46 (from potential to field and charge distribution)

answers

Tu 10-4

Surface charges and capacitance

Problem set 2 issued

Th 10-6

3 – Special Techniques

3.1 Laplace Equation – boundary conditions and uniqueness

Method of Relaxation

3.2 Method of Images

example 3-2

2.34 (Energy of concentric shells with charge)

2.36 (Suface charges on conductor with cavities)

2.39 (capacitance of concentric cylinders)

2.50 (given E, searching charge density)

2.27  (potential and field on the axis of a solid cylinder -- try to set the integral up correctly and solve in Mathematica.)

answers

Please sign up for consultations Friday, Monday or Tuesday

Tu 10-11

3.3 Separation of Variables

example 3-5

3.4 Multipole Expansion

example 3-6

Please sign up for consultations Friday, Monday or Tuesday

Th 10-13

3.5 Electric dipoles

 potential

Handout:

Problem 3.1e relaxation method

Book:

3.6 image charge problem: point charges above plane

answer

Problem set 2 due

solutions

quiz answers

Tu 10-18

Fall break

Th 10-20

Electric field of dipole

4 – Electric Fields in Matter

4.1 Polarization Dipole Interaction

Book:

3.9 image charge problem: line charges in neighborhood of conducting plane

3.10 image charge problem: point charges  in corner

3.27 Multipole expansion square of charge

3.31 dipole and charge

answers

Tu 10-25

4.2 Electric Field of a Polarized Object

4.3 Electric Displacement

mess-up polarized sphere -- all new and shiny

Th 10-27

5 – Magnetostatics

5.1 Magnetic force and charge in motion

4.4 charge and polarizable atom

4.10 polarized sphere

4.15 thick polarized shell (charge density, D, E)

answers

Tu 11-1

5.2 Current densities, Biot-Savart law

Th 11-3

5.3 Divergence and Curl of B

Chapter handout, problem 5-3: trajectory in B and E;

Book 5.4: force on square loop in B(z)

Book 5.6: phonograph and solid sphere

Book 5.8: B of square loop

answers

notebook for 5.3

Tu 11-8

5.4 Magnetic Vector Potential

Problem set 3 issued

Th 11-10

5.5 Magnetostatic Boundary conditions

5.6 Magnetic Dipoles

5.9 Biot Savart for differently shaped wires

5.11 field of solenoid (juggle angles)

5.14 field in thick slab

answers

Please sign up for consultations Friday, Monday or Tuesday

Tu 11-15

6. Magnetic Fields in Matter

6.1 Magnetization

6.2 Field of a magnetized object

Please sign up for consultations Friday, Monday or Tuesday

Th 11-17

6.3 Auxiliary Field

6.4 Susceptibility and permeability

PS3 - quiz solutions

Problem set 3 due

problem set 3, solutions

Tu 11-22

7 Electrodynamics

7.1 Ohm’s Law,

Tu 11-29

motional EMF

Th 12-1

7.2 Electromagnetic induction

7.3 Maxwell’s Equations

5.58 mag moment solid sphere

5.55 dipole in uniform field

5.61 thin glass rod

6.6 magnetic materials

6.8 field of magnetized cylinder

6.12 another cylinder

7.6 wire loop in E field

answers

Tu 12-6

Induction and inductance

Final problem set issued

Th 12-8

8 Maxwell’s equations and

Electromagnetic Waves

7.11 falling loop

7.16 Alternating current in co-ax setting

7.20 Inductance

7.22 self-inductance

Consultation Schedule Monday/Tuesday

Consultations are optional

Final

Wednesday 12-14-11,  3 pm

Final Problem set due