## Fall 2022 Static Fields

##### Homework

1 1/3 Mon

Introduction

IRB intake

Review on your own
(as necessary):
Basic Calculus
Exponentials & Logarithms

Introduction to the Lorentz Force Law
GSF: The Lorentz Force Law
GEM 5.1, 5.3.4
Taylor 2.5

Vectors
GSF: Vectors
GSF: Bases
GSF: Unit Vectors
GEM 1.1.1-1.1.2
Taylor 1.2

2 1/4 Tues

Vector Fields

Electrostatic & Gravitational Potential

Visualization of Potentials

• ##### Quiz 1b(PDF)

3 1/5 Wed

Position Vector
GSF: The Position Vector
GEM 1.1.4

The Distance Formula
GSF: The Distance Formula
GEM 1.1.2, 1.1.4

• ##### HW 01(PDF)Solution(PDF)

4 1/6 Thurs

Dot Product
GSF: The Dot Product
GEM 1.1.1

Superposition

Power Series Review
Notation

Guessing Power Series
GMM: Power Series: Exploration

Power Series Approximations
GMM: Approximations Using Power Series

More Power Series Information

Limiting Cases
GSF: Power Series for Two Point Charges

5 1/7 Fri

Compare Series and Visualization

• ##### HW 02(PDF)Solution(PDF)

6 1/10 Mon

Curvilinear Coordinates

Curvilinear Basis Vectors

Zapping with d
Prep Review how to find total differentials
Watch some short video:
Rules for Differentials
Product Rule
Chain Rule
GSF: Leibniz vs. Newton
GSF: Differentials
GSF: Rules for Differentials
GSF: Properties of Differentials
GSF: The Multivariable Differential
GSF: Differentials: Summary

7 1/11 Tues

Vector Differential

Scalar Line, Surface, Volume Elements
GEM 1.3.1, 1.4

Densities
• accessibility_new Acting Out Charge Densities
GSF: Densities
GEM 2.1.4

Total Charge
GSF: Total Charge

• ##### Quiz 2b(PDF)

8 1/12 Wed

Electrostatic Potential in Curvilinear Coords
• group Electrostatic Potential Due to a Ring of Charge

• ##### HW 03(PDF)Solution(PDF)

9 1/13 Thurs

Proportional Reasoning

Use What You Know

Electric Field Due to a Point Charge
GSF: Electric Field of a Point Charge

Superposition for Electric Fields

Electric Fields from Continuous Charge Distributions

10 1/14 Fri

Limiting Cases

• ##### HW 04(PDF)Solution(PDF)

11 1/17 Mon

MLK (No Class)

12 1/18 Tues

Other Continuous Sources

Review of Derivatives

Partial Derivatives
GEM 1.2.1

The Multivariable Differential
GMM: The Multivariable Differential

• ##### Quiz 3b(PDF)

13 1/19 Wed

GSF: Properties of the Gradient

GSF: Visualizing the Geometry of the Gradient
GSF: Using Technology to Visualize the Gradient
GEM 1.2.2-1.2.3
Taylor 4.3, 4.8

Directional Derivatives
GSF: Directional Derivatives

Gradient in Curvilinear Coordinates

• ##### HW 05(PDF)Solution(PDF)

14 1/20 Thurs

Electric Field Due to a Point Charge
GEM 2.1.1-2.1.2

Products of Vectors
Cross Product
Triple Product
GMM: Cross Product
GEM 1.1.1-1.1.3

Vector Surface Elements
GSF: Vector Surface Elements
GEM 1.3.1

Flux Definition
• group Acting Out Flux
GSF: Flux
GSF: Flux of the Electric Field
GEM 1.3.1, 2.2.1

Flux Calculation

15 1/21 Fri

Visualizing Flux
GSF: Flux through a Cube

Gauss's Law in Integral Form

Electric Field Lines
GSF: Electric Field Lines
GEM 2.2.1

• ##### HW 06(PDF)Solution(PDF)

16 1/24 Mon

More Gauss's Law

17 1/25 Tues

Derivatives of Vector Fields

Definition of Divergence

Visualization of Divergence

• ##### Quiz 4b(PDF)

18 1/26 Wed

Divergence Theorem
GSF: The Divergence Theorem
GEM 1.3.4
Taylor 13.7

Differential Form of Gauss's Law

• ##### HW 07(PDF)Solution(PDF)

19 1/27 Thurs

Circulation

Curl
• group Visualization of Curl

20 1/28 Fri

Step Functions
GMM: Step Functions
GEM 1.5.2

Delta Functions
GMM: Delta Functions
GEM 1.5

• ##### HW 08(PDF)Solution(PDF)

21 1/31 Mon

Work

Curl-Free Vector Fields
GSF: Curl-Free Vector Fields
GEM 1.6.2
Taylor 4.4

Electrostatic Energy Due to Discrete Charges
• group Electrostatic Energy of Discrete Charges
GSF: Electrostatic Energy
GSF: Electrostatic Energy
GEM 2.4.1-2.4.2

Relationship of Fields
• group V, $\vec{E}$, U, $\vec{F}$
GSF: The Relationship between $V$, $\vec{E}$, $U$, and $\vec{F}$
GEM 2.3.1-2.3.2
Taylor 4.2

Divergence and Curl in Curvilinear Coordinates
• ##### HW 06 redo(PDF)Solution(PDF)

22 2/1 Tues

Current Density
Total Current
• accessibility_new Acting Out Current Density
GSF: Current
GEM 5.1.3, 5.2.2

Magnetic Vector Potential
GSF: Magnetic Vector Potential
GEM 5.4.1

Product Rule
Integration by Parts
Second Derivatives
Laplace's Equation

Magnetic Field $\vec{B}$ from Magnetic Vector Potential $\vec{A}$
GEM 5.4.1

Biot Savart Law

• ##### Quiz 5b(PDF)

23 2/2 Wed

Lorentz Force Law
• group Lorentz Force and Work Done on a Rectangular Loop

• ##### HW 09(PDF)Solution(PDF)

24 2/3 Thurs

Ampère's Law
GSF: Ampère's Law

Ampère's Law in Integral Form
• group Ampère's Law in Symmetric Situations

25 2/4 Fri

Stokes' Theorem
GSF: Stokes' Theorem
GEM 1.3.5

Differential Form of Ampère's Law

Review
GSF: Review
GEM 2.3.5, 5.4.2
GEM 5.3.4

• ##### HW 10(PDF)Solution(PDF)

26 2/7 Mon
FINAL EXAM 7 PM
Exam Equation Sheet