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Static Fields
 
Winter 2020

Syllabus

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading   (GSF Book)
  (Main, Alternate,  Deep)
Due Dates
1
Mon
1/6
Introduction
  Syllabus
Dot Products
Distance Formula
  Star Trek
Vectors
  Vectors
  Position Vectors
Power Series Review
  Mathematica: Approximations
Monday Evening Office Hour:
Power Series
  Coefficients
  Activity: Power Series Coefficients
  Theorems
  Mathematica: Power Series Approximations
Griffiths pp. xii-xviii
Introduction
Griffiths 1.1.1-1.1.2
Boas pp. 101-102
Dot Products
 
Vectors
Position Vectors
 
 
Boas 1.2, RHB 4.5
RHB 4.6
Power Series Definitions
Finding Coefficients
Memorize Common Power Series
Approximations
Theorems
Adding up terms
Convergence
Quiz 1
                
2
Tue
1/7
Electric Potential Due to Charged Particles
  Coulomb's Law
  Scalar Fields
Superposition
  Activity: Two Charged Particles
Dimensions
Potential
Voltmeters
Scalar Fields
Superposition
Two Point Charges
HW0
     
3
Wed
1/8
Limiting Cases
  Activity: Two Particles--Limiting Cases
  Power Series Dimensions
Two Point Charges--Limiting Cases
Series Dimensions
HW1
Solutions
4
Thu
1/9
Visualization of Potentials
  Activity: Visualizing Equipotential Surfaces
  Mathematica: Visualize Scalar Fields
  PhET: Visualize Potentials
  Surfaces
Visualizing Equipotentials
 
Visualizing w/ Technology
 
    
5
Fri
1/10
Compare Series and Visualization
  Activity: Compare Algebra and Physics
 
 
HW2
Solutions
6
Mon
1/13
Curvilinear coordinates
  Definitions
ds
  Activity: Line Elements
Curvilinear Basis Vectors
Vector differential
  Activity: dr in Curvilinear Coords
Griffiths 1.1.4, 1.4
Boas 10.8, RHB 10.9
RHB 10.10
Definition
Scalar Line Elements
Basis Vectors
Griffiths 1.4
Definition
Polar Coords
Cylindrical/Spherical
Cylindrical/Spherical Hint
Quiz 2
        
7
Tue
1/14
Use What you Know
Densities
Scalar Line Integrals
Scalar Surface Integrals
Volume Integrals
Total Charge
  Activity: Line, surface, and volume integrals
 
Densities
Scalar Line Integrals
Surface Elements
Cylinders/Spheres
Scalar Surface Integrals
Volume Integrals
Griffiths 1.3.1
Boas 5.2, 5.3 & pp. 258-261, RHB 11
Total Charge
         
8
Wed
1/15
Electric Potential
  Mathematica: Potential Due to a Charged Ring
Griffiths 2.3.4
Ring
Griffiths 2.3.4, MT 5.1-5.2
RHB 11.1, 11.5-11.6
   
9
Thu
1/16
Ring Limits
  Activity: Ring Limiting Cases
VEUF
Electric Field due to a point charge
Limiting Cases
 
 
HW3
Solutions
 
10
Fri
1/17
More Continuous Sources
  Finite Charged Line
  Infinite Charged Line
  Multipoles
Finite Line
Infinite Line
 
HW4
Solutions
 
11
Mon
1/20
MLK--No Class
 
 
12
Tue
1/21
Electric Field Due to a Charged Ring
  Mathematica: E Field Due to a Charged Ring
Griffiths 2.1, MT 5.4
 
13
Wed
1/22
Partial Derivatives
Gradients
  Curvilinear coordinates
  Mathematica: Visualizing Gradient
Electric Field
  Vector Fields
  Coulomb's Law
  Visualizing Electric Fields
Electric Field from Electric Potential
 
Gradient
Schey IV
Directional Derivatives
Vector Fields
 
 
Curvilinear Coords
Use What You Know
HW5
Solutions
      
14
Thu
1/23
Electric Flux
  Definition
Products of Vectors
  Cross Product
  Activity: Flux through a Cone
  Cross & Triple Products
TM 5.3
Electric Fields
Griffiths 1.3.1, 2.2.1
RHB 11.5
Flux
Griffiths 1.1.1-1.1.3
RHB 7.6
Cross Product
      
15
Fri
1/24
Vector Surface Elements
Visualizing Flux
  Mathematica: Visualizing Flux
Triple Product
Surface Elements
Cylinders/Spheres
Cylinders/Spheres Hint
Cube
Cube Hint
HW6
Solutions
    
16
Mon
1/27
Delta Functions
Delta Functions
Quiz 3
17
Tue
1/28
Gauss's Law and Symmetry
  Introduction
Gauss's Law
 
18
Wed
1/29
Gauss's Law and Symmetry
  Applications
Griffiths 2.2.3
Gauss's Law Applications
Gauss's Law Hint
HW7
Solutions
 
19
Thu
1/30
Derivatives of Vector Fields
  Divergence
  Activity: Divergence & Curl
  Mathematica: Visualizing Divergence
  Vector Fields
Divergence Theorem
  Divergence Theorem
  The Divergence Theorem
  Differential Form of Gauss's Law
Griffiths 1.2.4
Griffiths 1.5
Divergence
Curvilinear Coords
Visualizing Divergence
Visualize Hint
Griffiths 1.3.4
Griffiths 2.2.2, Griffiths 5.3.2
Maxwell's Eqns
Divergence of Point Charge
        
20
Fri
1/31
Total Current
Current Density
Derivatives of Fields
  Circulation
  Curl
Griffiths 5.1.3, 5.2.1
Current
 
Curl
Griffiths 1.2.5, RHB 10.7.3, Schey p. 75-91
Griffiths 1.4, RHB 10.9
HW8
Solutions
  
21
Mon
2/3
Visualize Curl
  Mathematica: Visualizing Curl
Stokes' Theorem
  Differential Form of Ampere's Law
Griffiths 1.2.5, RHB 10.7.3, Schey p. 75-91
Griffiths 1.4, RHB 10.9
Stokes' Thm.
Griffiths 1.3.5
Maxwell's Eqns.
Griffiths 2.2.4, 5.3.1
 Quiz 4
 
22
Tue
2/4
Lorentz Force Law
Conservative Fields
Vector Line Integrals
Work, Fields, and Potentials
Changes in Electric Potential
Ampère's Law
  Applications
 
Conservative Fields
Vector Line Integrals
Boas 6.8
 
Potential from E
B from plane
Ampere Symmetry
Griffiths 5.3.3
       
23
Wed
2/5
Conductors
  Conductors GEM
Boundary Conditions
Applications
 
 
 
HW9
Solutions
 
24
Thu
2/6
Magnetic Vector Potential
  Infinite line
More Vector Potential
  Activity: Spinning Ring
  Mathematica: Spinning Ring
Magnetic Fields
  Biot-Savart Law
Product Rules
Integration by Parts
Biot-Savart
  Derivation
B Fields
  Mathematica: Spinning Ring
Vector Potential
Griffiths 5.4.1
 
Spinning Ring
 
 
Product Rules
Griffiths 1.2.6
Integration by Parts
Biot-Savart Law
 
         
25
Fri
2/7
Griffiths Triangle
Griffiths Triangle
Review
  Review Pages
  Exam Equation Sheet
Electric Energy (Discrete Charges)
Electrostatics Summary (Griffiths p. 87)
Magnetostatics Summary (Griffiths 5.4.2)
 
 
Griffiths 2.4
HW10
Solutions
   
26
Mon
2/10
Final Exam
  7-9 PM
 
 

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