*assignment*Using Gradescope (AIMS)*assignment*Homework##### Using Gradescope (AIMS)

AIMS Maxwell 2021 (2 years)**Task:***Draw a right triangle. Put a circle around the right angle, that is, the angle that is \(\frac\pi2\) radians.***Preparing your submission:**- Complete the assignment using your choice of technology. You may write your answers on paper, write them electronically (for instance using xournal), or typeset them (for instance using LaTeX).
- If using software, please export to PDF. If writing by hand, please scan your work using the AIMS scanner if possible. You can also use a scanning app; Gradescope offers advice and suggested apps at this URL. The preferred format is PDF; photos or JPEG scans are less easy to read (and much larger), and should be used only if no alternative is available.)
- Please make sure that your file name includes your own name and the number of the assignment, such as "Tevian2.pdf."

**Using Gradescope:**We will arrange for you to have a Gradescope account, after which you should receive access instructions directly from them. To submit an assignment:- Navigate to https://paradigms.oregonstate.eduhttps://www.gradescope.com and login
- Select the appropriate course, such as "AIMS F21". (There will likely be only one course listed.)
- Select the assignment called "Sample Assignment"
- Follow the instructions to upload your assignment. (The preferred format is PDF.)
- You will then be prompted to associate submitted pages with problem numbers by selecting pages on the right and questions on the left. (In this assignment, there is only one of each.) You may associate multiple problems with the same page if appropriate.
- When you are finished, click "Submit"
- After the assignments have been marked, you can log back in to see instructor comments.

*assignment*Symmetry Arguments for Gauss's Law*assignment*Homework##### Symmetry Arguments for Gauss's Law

Static Fields 2023 (5 years)Instructions for 2022: You will need to complete this assignment in a 15 minute appointment on Zoom or in person with one of the members of the teaching team between 1/21 and 10 pm on 1/26. Here is a link to a sign-up page.

You are required to watch a sample video for how to make symmetry arguments here. As demonstrated in the video you should bring with you to the meeting a cylinder, an observer, and a vector.

Use good symmetry arguments to find the possible direction for the electric field due to a charged wire. Also, use good symmetry arguments to find the possible functional dependence of the electric field due to a charged wire. Rather than writing this up to turn in, you should find a member of the teaching team and make the arguments to them verbally.

*face*Introducing entropy*face*Lecture30 min.

##### Introducing entropy

Contemporary Challenges 2021 (4 years)entropy multiplicity heat thermodynamics

This lecture introduces the idea of entropy, including the relationship between entropy and multiplicity as well as the relationship between*changes*in entropy and heat.*assignment*Ideal gas calculations*assignment*Homework##### Ideal gas calculations

Ideal gas Entropy Sackur-Tetrode Thermal and Statistical Physics 2020Consider one mole of an ideal monatomic gas at 300K and 1 atm. First, let the gas expand isothermally and reversibly to twice the initial volume; second, let this be followed by an isentropic expansion from twice to four times the original volume.

How much heat (in joules) is added to the gas in each of these two processes?

What is the temperature at the end of the second process?

Suppose the first process is replaced by an irreversible expansion into a vacuum, to a total volume twice the initial volume. What is the increase of entropy in the irreversible expansion, in J/K?

*face*Equipartition theorem*face*Lecture30 min.

##### Equipartition theorem

Contemporary Challenges 2021 (4 years) This lecture introduces the equipartition theorem.*assignment*Using Canvas Discussions*assignment*Homework##### Using Canvas Discussions

Static Fields 2023 The question is meant to get you used to using the Canvas Discussion Board. Please go to the course Canvas page and find the*Discussions*tab on the left hand side. Find the Discussion titled Random and add one of the following:- A random physics fact.
- One thing you like about physics.
- One question you have for Jeff.

*assignment*Building the PDM: Instructions*assignment*Homework##### Building the PDM: Instructions

PDM Energy and Entropy 2021 (2 years) In your kits for the Portable Partial Derivative Machine should be the following:- A 1ft by 1ft board with 5 holes and measuring tapes (the measuring tapes will be on the
**top**side) - 2 S-hooks
- A spring with 3 strings attached
- 2 small cloth bags
- 4 large ball bearings
- 8 small ball bearings
- 2 vertical clamp pulleys
- A ziploc bag containing
- 5 screws
- 5 hex nuts
- 5 washers
- 5 wing nuts
- 2 horizontal pulleys

- one screw should be put through each hole so that the threads stick out through the top side of the board. Next use a hex nut to secure
**each**screw in place. It is not critical that they be screwed on any more than you can comfortably manage by hand. - After securing all 5 screws in place with a hex nut, put a washer on each screw.
- Slide a horizontal pulley onto screws 1 and 2 (as labeled above).
- On all 5 screws, add a wing nut to secure the other pieces. Again, it does not need to be tightened all the way as long as it is secure enough that nothing will fall off.
- Using the middle wingnut/washer/screw (Screw 4), clamp the shortest of the strings tied to the spring.
- Loop the remaining 2 looped-ends of string around the horizontal pulleys and along the measuring tape.
- Using the string as a guide, clamp the vertical pulleys into place on the edge of the board.
- Through the looped-end of each string, place 1 S-hook.
- Put the other end of each s-hook through the hole in the small cloth bag.

- A 1ft by 1ft board with 5 holes and measuring tapes (the measuring tapes will be on the
*assignment*Photo Permission*assignment*Homework##### Photo Permission

Quantum Fundamentals 2023 (2 years)In the "Quizzes" section of Canvas, please fill out the "Photo Permission Form" to indicate what information you'd like me to post about you on the Physics Department Website.

Faculty & Students use this site to learn who is taking Paradigms and to network.

*assignment*Coffees and Bagels and Net Worth*assignment*Homework##### Coffees and Bagels and Net Worth

Energy and Entropy 2021 (2 years)In economics, the term

*utility*is roughly related to overall happiness. Many things affect your happiness, including the amount of money you have and the amount of coffee you drink. We cannot directly measure your happiness, but we*can*measure how much money you are willing to give up in order to obtain coffee or bagels. If we assume you choose wisely, we can thus determine that your happiness increases when you decrease your amount of money by that amount in exchange for increasing your coffee consumption. Thus money is a (poor) measure of happiness or utility.Money is also a nice quantity because it is conserved---just like energy! You may gain or lose money, but you always do so by a transaction. (There are some exceptions to the conservation of money, but they involve either the Fed, counterfeiters, or destruction of cash money, and we will ignore those issues.)

In this problem, we will assume that you have bought all the coffee and bagels you want (and no more), so that your happiness has been maximized. Thus you are in equilibrium with the coffee shop. We will assume further that you remain in equilibrium with the coffee shop at all times, and that you can sell coffee and bagels back to the coffee shop at cost.

^{*}Thus your savings \(S\) can be considered to be a function of your bagels \(B\) and coffee \(C\). In this problem we will also discuss the prices \(P_B\) and \(P_C\), which you may

*not*assume are independent of \(B\) and \(C\). It may help to imagine that you could possibly buy out the local supply of coffee, and have to import it at higher costs.The prices of bagels and coffee \(P_B\) and \(P_C\) have derivative relationships between your savings and the quantity of coffee and bagels that you have. What are the units of these prices? What is the mathematical definition of \(P_C\) and \(P_B\)?

Write down the total differential of your savings, in terms of \(B\), \(C\), \(P_B\) and \(P_C\).

- Solve for the total differential of your net worth. Your net worth \(W\) is the sum of your total savings plus the value of the coffee and bagels that you own. From the total differential, relate your amount of coffee and bagels to partial derivatives of your net worth.

*assignment*Syllabus and Schedule*assignment*Homework##### Syllabus and Schedule

Static Fields 2023 (6 years)Find the course syllabus and schedule on Canvas. Read through them carefully and bring your questions to the second day of class.

- Quantum Fundamentals 2023 Submit your video on Canvas. After you submit your video, complete the reflection questions for the course on Gradescope.