*assignment*Current in a Wire*assignment*Homework##### Current in a Wire

Static Fields 2023 (4 years) The current density in a cylindrical wire of radius \(R\) is given by \(\vec{J}(\vec{r})=\alpha s^3\cos^2\phi\,\hat{z}\). Find the total current in the wire.*group*Establish Classroom Norms*group*Small Group Activity60 min.

##### Establish Classroom Norms

Theoretical Mechanics (4 years) In this hour-long activity, students establish classroom norms for being respectful when working in small groups. This is particularly helpful in the first course a cohort of students encounters.*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.

*assignment*Ring Table*assignment*Homework##### Ring Table

Central Forces 2023 (3 years)Attached, you will find a table showing different representations of physical quantities associated with a quantum particle confined to a ring. Fill in all of the missing entries. Hint: You may look ahead. We filled out a number of the entries throughout the table to give you hints about what the forms of the other entries might be. pdf link for the Table or doc link for the Table

*group*Systems of Equations Compare and Contrast*group*Name the experiment*group*Small Group Activity30 min.

##### Name the experiment

Energy and Entropy 2021 (3 years) Student groups design an experiment that measures an assigned partial derivative. In a compare-and-contrast wrap-up, groups report on how they would measure their derivatives.*face*Central Forces Introduction: Lecture Notes*group*Total Charge*group*Small Group Activity30 min.

##### Total Charge

Static Fields 2023 (6 years)charge charge density multiple integral scalar field coordinate systems differential elements curvilinear coordinates

In this small group activity, students integrate over non-uniform charge densities in cylindrical and spherical coordinates to calculate total charge.*assignment*Derivatives from Data (NIST)*assignment*Homework##### Derivatives from Data (NIST)

Energy and Entropy 2021 (2 years) Use the NIST web site “Thermophysical Properties of Fluid Systems” to answer the following questions. This site is an excellent resource for finding experimentally measured properties of fluids.- Find the partial derivatives \[\left(\frac{\partial {S}}{\partial {T}}\right)_{p}\] \[\left(\frac{\partial {S}}{\partial {T}}\right)_{V}\] where \(p\) is the pressure, \(V\) is the volume, \(S\) is the entropy, and \(T\) is the temperature. Please find these derivatives for one gram of methanol at one atmosphere of pressure and at room temperature.
- Why does it take only two variables to define the state?
- Why are the derivatives above different?
- What do the words isobaric, isothermal, and isochoric mean?

*group*Electrostatic Potential Due to a Pair of Charges (with Series)*group*Small Group Activity60 min.

##### Electrostatic Potential Due to a Pair of Charges (with Series)

Static Fields 2023 (6 years)electrostatic potential multipole charge symmetry scalar field superposition coulomb's Law

Students work in small groups to use the superposition principle \[V(\vec{r}) = \frac{1}{4\pi\epsilon_0}\sum_i \frac{q_i}{\vert\vec{r}-\vec{r}_i\vert}\] to find the electrostatic potential \(V\) everywhere in space due to a pair of charges (either identical charges or a dipole). Different groups are assigned different arrangements of charges and different regions of space to consider: either on the axis of the charges or in the plane equidistant from the two charges, for either small or large values of the relevant geometric variable. Each group is asked to find a power series expansion for the electrostatic potential, valid in their group's assigned region of space. The whole class wrap-up discussion then compares and contrasts the results and discuss the symmetries of the two cases.-
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.