Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

PHYS 2212 - Test 2 - Fall 2024: Electromagnetism and Physics Problems, Quizzes of Physics

Georgia Institute of Technology - Main CampusPhysics

A comprehensive physics test covering electromagnetism concepts. It includes multiple-choice questions, problem-solving exercises, and detailed instructions for students to demonstrate their understanding of electric fields, magnetic fields, and their interactions. The test is designed to assess students' ability to apply fundamental principles and solve complex problems in electromagnetism.

Typology: Quizzes

2023/2024

Uploaded on 11/23/2024

aguijoncarranza
aguijoncarranza 🇺🇸

1 document

1 / 8

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
PHYS 2212 - Test 2 - Fall 2024
Scan and Upload to Gradescope after finishing test
•This quiz/test/exam is closed internet, books, and notes with the following exceptions:
–You are allowed the formula sheet found on Canvas, blank paper, and a calculator.
–You should not have any other electronic devices open until time is called.
–You are not allowed to access the internet until time is called.
–You must work individually and receive no assistance from any other person or resource.
•Work through all the problems first, and then scan/upload your solutions at your seat after time is called.
–Preferred format is PNG, JPG, or PDF.
–if your image is unable to be read you will receive a zero.
–You can upload a single file containing work for multiple problems as long as you upload the file for
each problem individually
–clearly label your work for each sub-part and box final answers.
•To earn partial credit, your work must be legible and the organization must be clear.
–Your solutions should be worked out algebraically.
–Numerical solutions should only be evaluated at the last step.
–Incorrect solutions that are not solved algebraically will receive an 80 percent deduction.
–You must show all steps in your work, including correct vector notation.
– Correct answers without adequate explanation will be counted wrong.
–Incorrect work or explanations mixed in with correct work will be counted wrong. Cross out anything
you do not want graded
–Include diagrams and show what goes into a calculation, not just the final number,
e.g.: a·b
c·d=(8×10−3)(5×106)
(2×10−5)(4×104)= 5 ×104
–Give standard SI units with your numeric results. Your symbolic answers should not have units.
Unless specifically asked to derive a result, you may start from the formulas given on the formula
sheet, including equations corresponding to the fundamental concepts. If a formula you need is not
given, you must derive it. If you cannot do some portion of a problem, invent a symbol for the
quantity you can not calculate (explain that you are doing this), and use it to do the rest of the
problem.
“In accordance with the Georgia Tech Honor Code,
I have completed this test while adhering to these instructions.”
PRINT your name and GTID on the line above
pf3
pf4
pf5
pf8

Partial preview of the text

Download PHYS 2212 - Test 2 - Fall 2024: Electromagnetism and Physics Problems and more Quizzes Physics in PDF only on Docsity!

PHYS 2212 - Test 2 - Fall 2024

Scan and Upload to Gradescope after finishing test

  • This quiz/test/exam is closed internet, books, and notes with the following exceptions:
    • You are allowed the formula sheet found on Canvas, blank paper, and a calculator.
    • You should not have any other electronic devices open until time is called.
    • You are not allowed to access the internet until time is called.
    • You must work individually and receive no assistance from any other person or resource.
  • Work through all the problems first, and then scan/upload your solutions at your seat after time is called.
    • Preferred format is PNG, JPG, or PDF.
    • if your image is unable to be read you will receive a zero.
    • You can upload a single file containing work for multiple problems as long as you upload the file for each problem individually
    • clearly label your work for each sub-part and box final answers.
  • To earn partial credit, your work must be legible and the organization must be clear.
    • Your solutions should be worked out algebraically.
    • Numerical solutions should only be evaluated at the last step.
    • Incorrect solutions that are not solved algebraically will receive an 80 percent deduction.
    • You must show all steps in your work, including correct vector notation.
    • Correct answers without adequate explanation will be counted wrong.
    • Incorrect work or explanations mixed in with correct work will be counted wrong. Cross out anything you do not want graded
    • Include diagrams and show what goes into a calculation, not just the final number, e.g.: ac··db = (8×^10

− (^3) )(5× 106 ) (2× 10 −^5 )(4× 104 ) = 5^ ×^10

4

  • Give standard SI units with your numeric results. Your symbolic answers should not have units.

Unless specifically asked to derive a result, you may start from the formulas given on the formula sheet, including equations corresponding to the fundamental concepts. If a formula you need is not given, you must derive it. If you cannot do some portion of a problem, invent a symbol for the quantity you can not calculate (explain that you are doing this), and use it to do the rest of the problem.

“In accordance with the Georgia Tech Honor Code, I have completed this test while adhering to these instructions.”

PRINT your name and GTID on the line above

Problem 1 - 15 points

Deep in the bowels of Howey a proton is created and shot across campus with a constant velocityvel⃗. Take Howey to be the origin and the location of a detector at Skiles to ber⃗ (^) obs. This detector can measure the electric and magnetic field at that location. Below is an incomplete code to calculate these fields and display them as arrows at the observation location. At the bottom of the code, please add the functions for finding the electric and magnetic fields and add the missing code to update the fields and arrows at the detector as the proton moves from Howey to Skiles

Web VPython 3.

PHYSICAL CONSTANTS and INITIALIZATION

oofpez = 9e9 #coulombs constant mu0over4pi = 1e-7 #magnetic field constant t = 0 r = vector(0,0,0) #starting position of proton at t = 0 vel = vector(2e6,-2e6,0) #initial velocity of proton in m/s r_obs = vector(220,-335,0) #location of detector in meters proton = sphere(pos=r, velocity=vel, charge=1.6e-16) #create the proton E_arrow = arrow(pos=r_obs, axis=vector(0,0,0),color=color.red) #electric field arrow B_arrow = arrow(pos=r_obs, axis=vector(0,0,0),color=color.yellow) #magnetic field arrow dt = 1e2 #timestep for advancing the proton in seconds

EDIT BELOW with PYTHON SYNTAX TO UPDATE THE FIELDS AND ARROWS

while t <= 1e6: r = r + vel*dt proton.pos = r

Add missing code to update arrows for E & B

t = t+dt

EDIT TO CREATE A FUNCTION FOR THE ELECTRIC FIELD

def Efield( ):

return(E)

EDIT TO CREATE A FUNCTION FOR THE MAGNETIC FIELD

def Bfield( ):

return(B)

  1. [5pts] Find the magnitude and direction of the electric field on the other side of the slab (i.e. E⃗ (x < 0)). If you can write down the answer without additional calculations, you may do so.
  2. [10pts] Determine the magnitude and direction of the net electric field inside the slab (i.e. E⃗ (0 ≤ x ≤ L)).

Problem 3 - 30 points

The outer surface of an in- sulating spherical shell of radius 2R is uniformly cov- ered with a total charge 24 Q with Q > 0. It is placed inside an uncharged, thick metal spherical shell with inner radius 4R and outer radius 6 R as indi- cated in the diagram.

  1. [6pts] Indicate on the diagram the net charge on the metal shell’s inner surface Qi , interior volume QV , and outer surface Qo (as multiples of Q, including signs if necessary)
  2. [8pts] Draw on the diagram the electric field vector at the locations R, 3R, 5R and 8R (marked by x’s). You will be graded on the orientation and (approximate) relative sizes of your vectors. Indicate zero field with “∅”.
  3. [8pts] Sketch the potential V (r) over the range 0 < r < 15 R, with the usual convention that V (∞) = 0. You will be graded on the general shape of your curve (not on the particular values of V , though we have provided an appropriate vertical scale as a hint), but you may find it helpful to calculate values in part 4 first.

Problem 4 - 25 points

  1. [5pts] A long wire carrying current I 1 lies on the x-axis with the current flowing to the right. What is the magnetic field of the wire at the position (d, d, 0) (the position marked with an ×)? Assume that d is much less than the length of the wire.
  2. [10pts] Now in addition to the same wire, there is a positive charge moving with velocityv⃗ located at the position (0, d, 0). What velocityv⃗ will make the net magnetic field at (d, d, 0) zero?
  1. [10pts] Now instead of the moving charge, there is a loop of current I 2 in the xy plane with radius R (R is much less than d), centered at the position (d, −d, 0) in addition to the same wire from part 1. What current I 2 will make the net magnetic field at (d, d, 0) zero? Make sure to give both magnitude and direction.