Problem Set 5


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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2007 Turn in to boxes at classroom entrance labeled with your name and group (e.g. L01 6B) Problem Set 5 Due: Wednesday, October 10 th at beginning of class (before 10:15/1:15) SAMPLE EXAM The following exam is similar to what you should expect to find on Thursday evening, October 11 th (7:30 – 9:30 pm in 54-100). Please note that the exam is closed notes and that calculators are not allowed. I strongly recommend that you take this sample exam under the same conditions. The exam is out of 100 points. It consists of the following: (1) 5 multiple choice, concept questions (4 pts each, 20 pts total) (2) 1 back of the envelope calculation (5 pts) (3) 3 analytic problems (25 pts each, 75 pts total) Some notes about format: In the multiple choice questions there will often be an answer “I don’t know.” You will get one point for answering this – we’d like to discourage random guessing, so if you don’t know be honest about it (on the other hand, if you can figure it out so much the better). Aside from this there is no partial credit. If you don’t circle any answer you will receive a 0. You must circle some answer. Make your circle clear. In the back of the envelope calculation you must provide both a conceptual explanation of what you are doing (write some words and equations so we know what you are thinking) AND some numerical values that lead to a numerical answer. Remember, no calculators are allowed, so make your numbers nice. Don’t leave π or any physical constants (like ε 0 ) in your answer. If you don’t have the appropriate units it will be considered wrong. Finally, the analytic problems will be graded as per usual for exam problems, with partial credit awarded if you make clear what you are doing (and part of it is correct). One of the problems will involve a number of intermediate steps that we will not lead you through (for example, “Calculate the capacitance of this spherical capacitor.”). In this case you need to show us that you understand the steps that are necessary to do this. USE WORDS. A quick outline at the beginning or an outline as you go will help us know that you know what you are doing. A correct answer without appropriate explanation will receive no credit. You don’t need to write a book (or even as much as I do in the solutions), but make the process clear.
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Physics 8.02 Exam One: PS 5 PRACTICE Fall 2007 23 ˆ 44 oo rr πε == Er qq r G G Circumferences, Areas, Volumes: Circle of radius r : ˆ points source q observer r r= from to r G Area = π r 2 Circumference = 2 π r Sphere of radius r inside o closed surface κ Q ε ⋅= ∫∫ EdA w G G points from inside to outside dA G q = FE b G Surface Area = 4 r 2 Volume = 3 3 r 4 GG Cylinder of radius r
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