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Physics 320

Symmetries and Idealizations

Fall 2009

Class schedule

Day Topics Readings/handouts
(main, alternate, deep)
Homework
1
Monday
9/28
  • Potentials
    • Paradigms/Course intro
    • Potentials for and
    • Coulomb's Law
  • Fields
  • Zero of potential

GEM ix-xv
GEM 2.3.2
GEM 1.1.4
Website information
Working in groups

HW 0 due
solutions

2
Tuesday
9/29
  • Superposition
  • Small group activities

Introduction to Maple
Visualizing potentials

3
Wednesday
9/30
  • Distance between two points
  • Charges away from the origin
  • Dot products

RHB 7.2
RHB 7.6
Dot product
GEM 1.1.1-1.1.2

HW 1 due
solutions

4
Thursday
10/1
  • Power series
    • Definition
    • Coefficients
    • Theorems
  • Approximations using power series
    • Adding up terms
    • Exploiting symmetry

RHB 4.5
Boas 1
RHB 4.6
Power series reading
Approximating functions with a power series
Power series coefficients
Important series

5
Friday
10/2
  • Two point charges
    • Superposition of discrete sources
    • Dipoles
    • Near and far limits

Electric potentials from two charges

HW 2 due
solutions

6
Monday
10/5
  • Two point charges, continued
7
Tuesday
10/6
  • Integrating charge densities
  • Curvilinear coordinates
    • Definitions
  • Vector differential
  • Integrating charge densities
    • Line, surface and volume densities
  • Cross and triple products

RHB 10.9
Curvilinear coordinates reading
GEM 1.1.4
RHB 10.10
GEM 1.4
Calculating line elements in spherical and cylindrical coordinates
Solutions for potential due to 2 point charges
GEM 2.1.4
Densities
RHB 7.6
Cross product
Triple product
GEM 1.1.1-1.1.3

8
Wednesday
10/7
  • Total charge
    • Line, surface and volume integrals
  • Superposition of continuous sources
    • Finite line
  • Green functions

RHB 11
GEM 1.3.1
Line integrals
Surface integrals
Volume integrals
Boas 6.8
Total charge

HW 3 due
solutions

9
Thursday
10/8
  • Superposition of continuous sources
    • Continuous charge distributions
  • The ring
    • Limits near and far

RHB 11.1
RHB 11.5-11.6
GEM 2.3.4, MT 5.1-5.2

10
Friday
10/9
  • Charges that extend to infinity
    • Infinite line

HW 4 due
solutions

11
Monday
10/12
  • Quantifying change
    • Partial derivatives
    • Gradients

RHB 5.1-5.2
Partial derivatives
Boas 6.6
RHB 10.7, GEM 1.1.1-1.1.2
Boas 6.7
Schey IV
Navigating a hill

12
Tuesday
10/13
  • Electric and gravitational fields
    • from gradients
    • of a ring

TM 5.3, GEM 2.1
MT 5.4

13
Wednesday
10/14
  • Electric and gravitational field of continuous distributions

HW 5 due
solutions

14
Thursday
10/15
  • Electrostatic energy
  • Energy and VEUF square

GEM 2.4

15
Friday
10/16
  • Review
  • Study session with Alex, 6-8PM

HW 6 due
solutions

16
Saturday
10/17
  • Study session with Alex, 1-3PM
17
Monday
10/19
  • Final exam: 7:00 PM