Midterm Exam in Electromagnetism, Physics 322, Exams of Electromagnetism and Electromagnetic Fields Theory

A midterm exam in electromagnetism for physics 322, held on february 25, 2004 during the winter academic year. The exam consists of 11 questions, each worth a certain number of points. The students are required to write their name, student id, and calculations on the pages. The exam covers topics such as the magnetic field inside a solenoid, energy stored in a solenoid, self-inductance, the effect of materials on the magnetic field, faraday's law of induction, and the current flowing in a loop near a solenoid. The students are not allowed to use notes, calculators, or outside help during the exam.

Typology: Exams

Pre 2010

Uploaded on 03/18/2009

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Name _________
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Electromagnetism, Physics 322 Second midterm 8.20 am, February 25, 2004
Winter 2004 Instructor: David Cobden
You have 60 minutes. End on the buzzer. Answer all 11 questions.
Write your name on every page and your student ID on the first page.
Write all your working on these question sheets. Use this cover page for extra working (you might get credit
for it.)
It is important to show your calculation or derivation. You won’t get full marks just for stating the correct
answer if you don’t show how you get it.
Watch the blackboard for corrections or clarifications during the exam.
This is a closed book exam. No notes. No calculators.
Do not turn this page until Ruth says ‘go’!
All the lines below are perfectly straight!
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Electromagnetism, Physics 322 Second midterm 8.20 am, February 25, 2004 Winter 2004 Instructor: David Cobden

You have 60 minutes. End on the buzzer. Answer all 11 questions.

Write your name on every page and your student ID on the first page.

Write all your working on these question sheets. Use this cover page for extra working (you might get credit for it.)

It is important to show your calculation or derivation. You won’t get full marks just for stating the correct answer if you don’t show how you get it.

Watch the blackboard for corrections or clarifications during the exam.

This is a closed book exam. No notes. No calculators.

Do not turn this page until Ruth says ‘go’!

All the lines below are perfectly straight!

  1. [8] If a cube of diamagnetic ( χm < 0) material, such as wood, of side slightly smaller than a is placed near the end of the solenoid, is it attracted, repelled, or completely uninfluenced? Explain why.
  2. [4] If the same piece of material is placed inside the solenoid, does its inductance (a) increase by a large factor, (b) increase slightly, (c) remain the same, (d) decrease slightly, or (e) decrease by a large fraction?
  3. [10] A similar solenoid is filled instead with a hard ferromagnetic material (ie, one which has remanant magnetization). The current I is made to oscillate slowly with an amplitude I 0 which is sufficient to saturate the magnetisation at a value Msat. Sketch a graph of the variation of B at the center of the solenoid with I over a cycle of the oscillation. Annotate your graph showing sweep direction and indicating in a few words what is going on. Show the scale (ie, magnitude) of B.
  1. [10] State Faraday’s law of induction in both integral form (relating emf and flux) and differential form, and show how the former leads to the latter.
  2. [12] Consider the empty solenoid carrying current I = I 0 cos ωt. A thin circular wire loop of radius s < a and resistance R is located in the center of the solenoid with its plane perpendicular to the axis. What current Iloop flows in the loop?
  3. [12] The solenoid current is now set to a constant value of I 0. The loop is then slowly and carefully removed from the solenoid and placed next to it. Calculate the total charge that flows around the loop during this procedure.

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