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Lab 7 (Simulation): Electric Flux accounting and Gauss' Law and W7 Problem Set

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I need help with these Lab 7 (Simulation): Electric Flux accounting and Gauss' Law and W7 Problem Set

Lab 7 (Simulation): Electric Flux accounting and Gauss' Law

Canvas link https://gcccd.instructure.com/login/canvas

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marvee.balyos

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Here is the assignment link for the Lab 7 (Simulation): Electric Flux accounting and Gauss' Law https://gcccd.instructure.com/courses/54099/assign...

Here's the assignment below and if you can't understand it just click on the link above.

*(PLEASE MAKE SURE ITS HANDWRITTEN)*

This week we shall use a simulation to estimate the Electric Flux ɸ crossing a cube-shaped "Gaussian surface", first with no charge enclosed (but with an electric field), and then with an enclosed point charge. You will need to be competent with taking a screenshot of an on-screen image, and using a spreadsheet program (e.g. Excel or Google Sheets) with calculate columns to calculate and add up the flux.

Lab briefing recording will be posted here - passcode phyc202!fa

Gauss' Law SimulationLinks to an external site. - We shall use this twice, once with a point charge outside, and once with the point charge enclosed.

Following on from last week, here is a simulation of charge migration to the outside of a conductorLinks to an external site. (in reality this happens very fast!)

Embed your answers in the textbox (make sure to identify them with Part and Question numbers, e.g. "A6.", etc.)

To take a screenshot of a region on screen

  • Windows: Use the Snipping Tool or Snip and Save (just type "screenshot" in the search bar and the options will come up).
  • Mac: Cmd+SHIFT+5, then choose to capture a region. The file will be saved on your Desktop with a name beginning "Screen Shot" and the date and time. You can also use Preview to take a screenshot and save it as an image. Or (better?) use Preview->File->Take Screenshot to have more options.
  • Chromebook or tablet: You're on your own! Find a way.

(Note that using your phone to take a poorly composed picture of your computer screen is NOT acceptable for this activity and will not be graded!). Embed your images at "Medium" size in the text box, next to the numbered part/question.

Set up the simulation:

  1. Open the Gauss' Law SimulationLinks to an external site. in a separate window, and select these options:
    • Show Face Numbers
    • Color Flux (red = out, blue = in).
  2. Play around with the location of the charge. You can also change the cube orientation ( I had to use the CTRL key held down while moving the track pad). Observe the flux vectors with the charge both inside and outside.

Part A: Charge outside the cube

  1. Move the charge to a position just outside the cube. Record its (x, y, z) coordinates.
  2. Rotate the image around (without moving the charge!) to a good angle and take a screenshot. Include this image in the text box at Medium size with the (x,y,z) coordinates of the charge in the "Alternate text".
  3. Now select
    • Number of faces = 96 (or for better results, 150, but that will take longer!)
    • Show surface tiles
  4. Do not move the charge any more! Click on each "tile" of the cube in a methodical manner, until you have highlighted all the faces on all 6 sides. As you click, will see a close-up of each small tile surface with the electric field passing through it. You can select "Surface normal" and "Vector components" if you like.
  5. Below that you will see table growing in a window at the bottom of the web page listing:
    Angle (relative to surface normal) E-field magnitude Area of the square Face #
    Complete your clicking on every square tile of the cube, all 6 faces.
  6. Now click and drag to select the entire contents of the table window in the simulation web page, and copy it (Ctrl-C on Windows, Cmd-C on Mac).
  7. Spreadsheet time! Open your favorite spreadsheet program. Select the first cell in your spreadsheet and PASTE (Ctrl-V on Windows, Cmd-V on Mac) the table into the spreadsheet. You will probably have to line up the column headings, and remove blank columns.
  8. Create a new column titled "delta-phi (Nm2/C)" and create a column formula to compute Δɸ = E · ΔA = E cos(θ) x ΔA where delta-A is the constant area of a small tile in the cube, and θ is the angle between the E-field vector and the tile's surface normal.
  9. Create a new column next to this one titled "Total Flux Phi (Nm2/C)", and use the SUM() column formula to total up the delta-phi column values into one cell.
  10. Title the spreadsheet "Charge outside volume, x=??, y=??, z = ?? m" where you will fill in the coordinates of the charge that you recorded earlier.
  11. a. What is the expected value of the total flux from the +1 nC charge passing through the 1-meter cube? (Hint: Gauss' Law!) b. b. What is the value that you obtained from this procedure?
  12. (Optional) Import the screenshot you took into the spreadsheet so that it is visible to the right of your data, near the top.
  13. Print/Save your spreadsheet as a PDF. Type "Part A spreadsheet" into the text box and link the spreadsheet file to it using the "Documents" [Image unavailable: Screen Shot 2022-10-04 at 5.34.20 PM.png] tab above.

Part B: Charge inside the cube

  1. Reset the simulation (fast way: reload the page and select "Show face numbers" and "Color flux"
  2. Move the charge inside the cube, but obviously offset from its center. All the E-field vectors should now be red (outwards). Record the charge's (x,y,z) coordinates.
  3. As before, orient the cube (with your mouse, or use Ctrl+trackpad) and take a screenshot of the E-field vectors around it, and upload it into the text entry box as a Medium image, with Alternate text containing the coordinates of the charge.
  4. You know what to do! Select "Show surface tiles" and click on the tiles on all 6 sides of the cubes to build a table of E-field magnitudes and directions.
  5. Copy the table into a new spreadsheet, create a column and the formula to calculate the fluxes through each tile. and a cell to SUM them all up. Title the new sheet "Charge inside volume, x=??, y=??, z = ?? m", optionally include your screenshot, and save it as a PDF.
  6. a. What is the expected value of the total flux from the +1 nC charge passing through the 1-meter cube? (Hint: Gauss' Law!) b. What is the value that you obtained from this procedure?
  7. Print/Save your spreadsheet as a PDF. Type "Part B spreadsheet" into the text box and link the spreadsheet PDF to it using the "Documents" [Image unavailable: Screen Shot 2022-10-04 at 5.34.20 PM.png] tab above.

AND YOU ARE ALL DONE! From the lab

W7 Problem Set

Here is the assignment link for the W7 Problem Set https://gcccd.instructure.com/courses/54099/assignments/1399790

Here's the assignment below and if you can't understand it just click on the link above.

*(PLEASE MAKE SURE ITS HANDWRITTEN)*

INSTRUCTIONS

  • Use the Problem Solving Guide as a general guide to your solution.
  • Upload a PDF with your solutions. (watch sig figs and units).
  • Show all your work (show the steps of your solution!)
    • 50% of grade is for seriously attempting all questions
    • 50% of grade comes from one question I choose at random to grade.

QUESTIONS

  1. A molybdenum nucleus (with mass 1.593×10−25 �� & charge 42�) has an initial velocity of �→�=75.0���^. It is inside a uniform E-field given by �→=2.00×10−6���^+2.00×10−6���^.
    (a) find the force vector on the nucleus.
    (b) find the acceleration vector on the nucleus.
  2. Find the electric flux of the electric field �→=(225�^+125�^−325�^)�� through the area defined by �→=(2.00�^+1.50�^)�2
  3. Use Gauss' Law to find the electric field everywhere created by two concentric spherical shells of charge. The inner sphere has a radius of A and a charge of -3Q. The outer sphere has a radius of B and a charge of +3Q.