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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
Vector Surface Elements
Visualizing Flux
  Mathematica: Visualizing Flux
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
Triple Product
Surface Elements
Cylinders/Spheres
Cylinders/Spheres Hint
Cube
Cube Hint
            
15
Fri
1/24
Delta Functions
 
 
HW6
Solutions
16
Mon
1/27
Derivatives of Vector Fields
  Divergence
  Activity: Divergence & Curl
  Mathematica: Visualizing Divergence
  Vector Fields
  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
Quiz 3
      
17
Tue
1/28
Gauss's Law
Gauss's Law and Symmetry
  Introduction
  Applications
Divergence of Point Charge
Gauss's Law
Griffiths 2.2.3
Gauss's Law Applications
Gauss's Law Hint
     
18
Wed
1/29
Conservative Fields
Vector Line Integrals
Work, Fields, and Potentials
Changes in Electric Potential
 
Vector Line Integrals
Boas 6.8
 
 
HW7
Solutions
  
19
Thu
1/30
Conductors
Electric Energy (Discrete Charges)
 
Griffiths 2.4
  
20
Fri
1/31
Derivatives of Fields
  Circulation
  Curl
  Mathematica: Visualizing Curl
Total Current
Current Density
 
Curl
Griffiths 1.2.5, RHB 10.7.3, Schey p. 75-91
Griffiths 1.4, RHB 10.9
Griffiths 1.2.5, RHB 10.7.3, Schey p. 75-91
Griffiths 1.4, RHB 10.9
Griffiths 5.1.3, 5.2.1
Current
HW8
Solutions
   
21
Mon
2/3
Magnetic Vector Potential
  Infinite line
More Vector Potential
  Activity: Spinning Ring
  Mathematica: Spinning Ring
Vector Potential
Griffiths 5.4.1
 
Spinning Ring
 
Quiz 4
   
22
Tue
2/4
Magnetic Fields
  Biot-Savart Law
Force and Torque on Current loop
 
 
  
23
Wed
2/5
Stokes' Theorem
B Fields
  From A
Biot-Savart
  Derivation
B Fields
  Mathematica: Spinning Ring
Stokes' Thm.
Griffiths 1.3.5
 
Biot-Savart Law
 
HW9
Solutions
  
24
Thu
2/6
Ampère's Law
  Applications
Ampère's Law
  Cont. Applications
  Differential Form of Ampere's Law
Product Rules
Integration by Parts
B from plane
Ampere Symmetry
Griffiths 5.3.3
 
Maxwell's Eqns.
Griffiths 2.2.4, 5.3.1
Product Rules
Griffiths 1.2.6
Integration by Parts
      
25
Fri
2/7
Griffiths Triangle
Griffiths Triangle
Review
  Review Pages
  Exam Equation Sheet
Electrostatics Summary (Griffiths p. 87)
Magnetostatics Summary (Griffiths 5.4.2)
 
 
HW10
Solutions
  
26
Mon
2/10
Final Exam
  7-9 PM
 
 

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