PHYS 436 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Schedule

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New Homework assignments will be published on this page on Wednesdays and discussed briefly in the next class meeting (Friday).  They will be due on Fridays of the next week at 1159 pm.  Just to be clear, that is 9 days after the homework is assigned.  You can submit your homework up to two days later (Sunday evening at 1159pm) for 90% credit.  After that late deadline, no credit can be earned.  On Tuesdays at 5 pm we will have an office hour to discuss the assignment due on Friday of that week.  Between the discussion in class on Fridays and the HW office hour on Tuesdays, you should be able to avoid spinning your wheels unproductively.

To hand in HW assignments, we use Gradescope.  If you do your HW on paper, carefully scan your solution pages to produce a clean and legible pdf file.  If you use an electronic tablet for your work, use it to produce a pdf file.  Submitt your file to the Gradescope HW depository.  It is important that your file can actually be read and graded.  Illegible files will not be graded and will result in zero credit.

Starting on Monday Jan 23, 2023, we will use iClickers to poll the class on questions on topics we have are covering in class.  As of right now, we will not grade the responses, but participation in this activity will feed into the classroom participation grade.  You need to register your iClicker for this class using your Gradebook page.

Mediaspace link for lecture recordings:  Lectures.  https://mediaspace.illinois.edu/channel/PHYS+435+2023+Spring/286930562 

Date Lecture Reading Homework Discussion Exams
Wednesday 1/18/2023

Lecture 1
Review Maxwell's Equations from Physcis 212
Gauss:  Flux of E through a closed surface is the charge enclosed/eps-0
Faraday:  Path integral of E around the perimeter of any open surface is (-1) times time derivative of magnetic flux through the open surface

Lecture1.pdf

Griffiths Chapter 1 Divergence Theorem and Stokes Theorem.
Griffiths 2.1 and 2.2
Also, glance at Appendix A
Assign HW1
due Jan 27, 2023 for 100%
Jan 29, 2023 for 90%
HW1 
Solution
   
Thursday
1/19/2023
         
Friday
1/20/2023
Lecture 2
Electric Potential Function for Static Sources
Solution by Superposition
Lecture2.pdf
 
Griffiths Sec.2.3 Introduce HW1    
Monday
1/23/2023
Lecture 3
E-field Interaction Energy
E-field Energy Density
Continuous charge density vs point charges
Lecture3.pdf
Griffiths Sec. 2.4  

Discussion 1 pdf

Solutions1 pdf

 
Tuesday
1/24/2023
    HW1 Homework Office Hour
144 Loomis
5-6pm 
   
Wednesday 1/25/2023 Lecture 4
Conductors and Capacitance
Lecture4.pdf
Griffiths Sec. 2.5

Assign HW2 
due Feb 3 11:59pm 100%
or due Feb 5 11:59 pm 90%

HW2 Solution

   

Thursday
1/26/2023

Curl Subtleties
Path Integrals

Curl_subtleties.pdf

       
Friday
1/27/2023
Lecture 5
Electric Potential Function
Boundary Conditions and Uniqueness
Lecture5.pdf
Griffiths Sec. 3.1

Introduce HW2
HW1 due
due Jan 27, 2023 for 100%

Jan 29, 2023 for 90%

   
Monday
1/30/2023
Lecture 6
E-field and Potential from charges and conductors
Method of Images
Problems with Rectangular Symmetry
Lecture6.pdf
Griffiths Sec. 3.1 and 3.2.1-3  

Discussion 2
pdf

Solutions 2 pdf

 
Tuesday
1/31/2023
    HW2 Homework Office Hour
144 Loomis
5-6pm 
   
Wednesday
2/1/2023
Lecture 7
Method of Images
Problems with Spherical Symmetry
Solution for V(r) Inside and outside a grounded Conducting Sphere
Lecture7.pdf
Griffitrhs Sec 3.2.4 Assign HW3
due
 1159pm Feb 10 100%
or due 1159pm Feb 12 90%
HW3
 Solution
   
Thursday
2/2/2023
         
Friday
2/3/2023
Lecture 8
Separation of Variables for [grad^2]V(r) = 0
Boundary Value Problems with Rectangular Coordinates
Lecture8.pdf
Griffiths Sec 3.3.1 Introduce HW3
HW2 due
due 
1159pm Feb 3 for 100%
or 1159pm Feb 5 for 90%
   
Monday
2/6/2023
Lecture 9
Separation of Variables
Solutions in Rectangular Coordinates
Fourier Series Solutions
Lecture9.pdf
Griffiths Sec. 3.3.1
Notes
 

Discussion 3

pdf

Solutions 3

pdf

 
Tuesday
2/7/2023
    HW3 Homework Office Hour
144 Loomis
5-6pm 
   
Wednesday
2/8/2023
Lecture 10
Separation of Variables in Spherical Coordinates
Legendre Polynomials and Spherical Harmonics
Lecture10.pdf
Griffiths Sec. 3.3.2 Assign HW4
due 1159pm Feb 17 100%
or due 1159pm Feb 19 90%

HW4 Solution
   
Friday
2/10/2023
Lecture 11
Examples of Spherical Problems
Lecture11.pdf
Griffiths 3.3.2

Introduce HW4
HW3 due
due 1159pm Feb 10 for 100%

or 1159pm Feb 12 for 90%

   
Monday
2/13/2023
Lecture 12
Green's Functions Solve All Potential Problems!
Green's Identity
Charges and Boundary Conditions

Lecture12.pdf
Notes Only  

Discussion 4

Solution 4

 
Tuesday
2/14/2023
    HW4 Office Hour
144 LLP
5-6 pm
   
Wednesday
2/15/2023
Lecture 13
Fields from Charges Viewed from Far Away
Expansion of Electric Potential in Multipole Moments

First Example of Hierarchical Approximations
pdf
Griffiths 3.4 Assign HW5
due Feb 24 1159pm for 100%
or Feb 26 1159 pm for 90%
HW5 
Solution

 

 
Thursday
2/16/2023
         
Friday
2/17/2023
Lecture 14
Dipoles
pdf
Griffiths 3.4.1

Introduce HW5
HW4 due
due 1159pm Feb 17 for100% 
due 1159pm Feb 19 for 90% 

   

Monday
2/20/2023

Lecture 15
Introduction to Dielectrics
Polarization Density Vector Field P
Bound Polarization Charge

pdf
Griffiths 4.1 and 4.2  

Discussion 5

Solution 5

 
Tuesday
2/21/2023
    HW5 Office Hour
144 LLP
5-6 pm
   
Wednesday
2/22/2023
Lecture 16
Introduction to Dielectrics
Linear Dielectrics
Susceptibility to Polarization by an Applied E-field
Emergence of Bound Polarization Charge
Self Consistent Solution Required!
pdf
Griffiths 4.4.1 Assign HW6
due by March 10 for 100%
or due by March 12 for 90% 
HW6 Solution

 

 
Thursday
2/23/2023
         
Friday
2/24/2023
Lecture17
The "Displacement" Vector Field D
D is a helper Field

Boundary Conditions:
Matching D-perp and E-parallel at Dielectric Boundaries

Cartesian Coordinate Problems
pdf
Griffiths 4.3

Introduce HW6
HW5 due
due 1159pm  Feb 24 for 100%
or due 1159pm Feb 26 for 90%

   
Monday
2/27/2023
Lecture 18
Boundary Value Problems with Dielectrics
Spherical Problems
pdf
Griffiths 4.2 and 4.3  

Discussion 6

Solution 6

 
Tuesday
2/28/2023
   

MT1 Office Hour
144 LLP
5-6 pm
CANCELLED

   
Wednesday
3/1/2023

MidTerm 1
pdf

Griffiths 4.4    

MidTerm 1 
in class
MT1Exam
MT1Solution

Thursday
3/2/2023
         
Friday
3/3/2023

Lecture 20
Energy and Forces in Problems with Dielectrics
Depolarizing Coefficients
pdf

Griffiths 5.1, 5.2 and 5.3

Reintroduce HW6    
Monday
3/6/2023
Lecture 21
Electric Currents
Ampere's Law
Law of Biot and Savart is Complicated!

​pdf
Griffiths 5.1-3  

Discussion 7

Solution 7

 
Tuesday
3/7/2023
 

 

  HW6 Office Hour
144 LLP
5-6 pm
   
Wednesday
3/8/2023

Lecture 22
Magnetic Vector Potential, A
Gauges, the Coulomb Gauge
Robert Mills (of Yang-Mills) Paper on Gauge Theories

read through section IV.B
pdf

Griffiths 5.4
Griffiths Appendix B

Assign HW7
due March 24 for 100%
HW7 Solution
   
Thursday
3/9/2023
   

 

   
Friday
3/10/2023

Lecture 23
Magnetic Multipoles
pdf

Griffiths 5.4.2 Introduce HW7
HW 6 due
Due Mar 10 11:59 pm 100%
Due 1159pm Mar 12 90%
   
Monday
3/20/2023
Lecture 24
Magnetic Multipoles
Levi Civita Symbol

pdf
Griffiths 5.4.3  

Discussion 8

Solution 8

 
Tuesday
3/21/2023

 

  HW7 Homework Office Hour
144 Loomis
5-6pm 
 
   
Wednesday
3/22/2023

Lecture 25
Magnetic Moments, Torques, Forces, Energy
Boundary Conditions
​pdf

Griffiths 6.1 Assign HW8
due by March 31 1159pm for full credit
HW8 Solution

 

 
Thursday
3/23/2023
         
Friday
3/24/2023
Lecture 26
Magnetic Materials, Magnetization Density, M.
pdf
Griffiths 6.1 Introduce HW8
HW7 due
due March 24 for 100%
or March 26 for 90%
 90% 
   
Monday
3/27/2023
Lecture 27
Bound Currents, Magnetized Objects
​pdf
Griffiths 6.2-3

 

Discussion 9

Solution 9

 
Tuesday
3/28/2023

 

  HW8 Office Hour
144 Loomis
5-6 pm
   
Wednesday
3/29/2023

Lecture 28
The Auxillary Magnetic Field, H
H is a Helper Field
B = mu0(H+M)
Boundary Conditions on B and H

Magnetic SCALAR Potential!

pdf

Griffiths 6.3 Assign HW9
due by April 14, 2023 for full credit
​HW9 Solution

 

 
Thursday
3/30/2023
         
Friday
3/31/2023

Lecture 29

Magnetic BVPs with Linear Paramagnetic Media
pdf

Notes

Introduce HW9
HW8 due
due 1159pm March 31
 100% 
or due 1159pm April 2 for 90%

   
Monday
4/3/2023

Lecture 30
E-Fields in conductors, Electrodynamics, Complex Impedances
pdf

Griffiths 6.3  

Discussion 10

Solution 10

 
Tuesday
4/4/2023

 

  HW9 Office Hour
144 Loomis
5-6 pm
   
Wednesday
4/5/2023

Lecture 31
Electrodynamics
Field energy densitites
Repair Ampere's Law
pdf

Griffiths 7.1 HW10
due April 19 at 1159pmpm for 100%
due April 23 1159pm for 90%
HW10 Solution

 

 
Thursday
4/6/2023
         
Friday
4/7/2023

Lecture 32

Complex Impedances
​Recap of Faraday's Law
pdf

Notes
Griffiths 7.2

HW9 due
due 1159pm April 7
 100% 
or due 1159pm April 9 for 90%
 


 

Monday
4/10/2023
Lecrture 33
Repairing Ampere's LawEnergy in fields
Magnetic Field energy density
Poynting's Vector

pdf
Griffiths 7.3

 

Discussion 11

Solution 11
 
Tuesday
4/11/2023

 

  discuss Midterm 2    
Wednesday
4/12/2023

Lecture 34
How to turn in the exam tonight
Inhomogeneous Wave Equation from Maxwell
Homogeneous Wave Equation

Structure of Electromagnetic Waves
Poynting the way to Intensity of Electromagnetic Waves

pdf

Griffiths 8.1.2
Notes
 

 

Midterm 2
730pm via Zoom
Zoom link to be send out by email to the class by 715 pm
Covers material through lecture 29
Solution

90 minutes long

Thursday
4/13/2023
         
Friday
4/14/2023

Lecture 35
Plane Waves
Polarization of EM radiation

Intensity of EM radiation
Sinusoidal EM Waves
pdf

Notes
Griffiths 9.1-2
HW9 due for full credit 1159pm
due Sunday 4/16 at 1159pm for 90% credit
   
Monday
4/17/2023

Lecture 36
​Superposition of Sinusoidal Waves
Pulses and Bandwidth (uncertainty condition)​
pdf

Griffiths 9.2
Notes
 

 

Discussion 12

Solution 12

 
Tuesday
4/18/2023

 

 

HW10 Homework Office Hour
144 Loomis
5-6pm 

   
Wednesday
4/19/2023

Lecture 37
Propagation of EM waves in Dielectrics
Polarization Current Density
Index of Refraction
pdf

Griffiths 9.2
Notes

 

 

 
Thursday
4/20/2023
         
Friday
4/22/2022

Lecture 38
Reflection and Refraction from Dielectric Interfaces I
​pdf

Griffiths 9.3.2-3
Notes

Introduce HW11
HW10 due
due April 21 1159pm for 100%
or due April 23 1159pm for
 90% 

   
Monday
4/24/2023
Lecture 39
Reflection and Refraction from Dielecrtric Interfaces II
​pdf
Griffiths 9.3.3

Assign HW11
HW11 Solution
Due May 1 at 1159 pm for 100%
  or May 3 1159pm for 90%

Discussion 13

Solution 13

 
Tuesday
4/25/2023

 

  HW11 Homework Office Hour
144 Loomis
5-6pm 
   
Wednesday
4/26/2023

Lecture 40
Propagation of EM waves in Conductors
Reflection of EM waves from Conductors

​pdf

Notes
Griffirths 9.4
 

 

 
Thursday
4/27/2023
         
Friday
4/28/2023

Lecture 41
Reflection of EM waves from Conductors
pdf

Notes      
Monday
5/1/2023
Lecture 42
Review Statics
pdf
  HW11 due
due May 1 1159pm for 100%
due May 3 1159pm for 90%

Discussion 14

Solution 14

 
Tuesday
5/2/2023

 

       
Wednesday
5/3/2023

Lecture 43
Review Dynamics
​pdf

  HW11 due
due May 3 1159pm for 90%

 

 
Thursday
5/4/2023
Reading Day        
Friday
5/5/2023

Exams Start

       
Friday
5/12/2023
Final Exam via Zoom
130-430pm