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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2008 Label with your name, table number and group. Turn in at the homework box. Problem Set 5 Due: Thursday, October 9 th at 12:00 pm Note: There are two parts of this homework. First is the sample exam to help you practice for the exam on Monday. For your own good finish this part of the homework before the exam. Second part is couple of analytical problems covering the current material. You may attempt this part after the exam. Both parts are due together next Thursday in the homework box. PART 1: SAMPLE EXAM The following exam is similar to what you should expect to find on Monday, October 6 th . 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) 3 analytic problems (25 +30+25 pts = 80 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. 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 qq rr πε == Err G G ˆ points source q observer r r r= from to G inside o closed surface Q κ ε ⋅= ∫∫ EdA G G w points from inside to outside dA G q = FE GG = = b a a b b to a from moving V V V s d E G G 0 = path closed s d E G G WU q V =∆ = ∆ point charge 4 o q V r = = pairs all j i o j i q q U r r G G 4 2 1 2 ov o l UE d V ⎡⎤ = ⎢⎥ ⎣⎦ ∫∫∫ x E x = - V x , E y = - V y , E z = - V z r V E r =− for spherical symmetry Q C V = U = 1 2 C V 2 = Q 2 2C 12 parallel CC C =+ series C = + Circumferences, Areas, Volumes: Circle of radius r : Area = π r 2 Circumference = 2 π r Sphere of radius r Surface Area = 4 r 2 Volume = 3 4 3 r Cylinder of radius r and height h Side surface area = 2 r h End cap surface area = 2 r 2 Volume = r 2 h Definition of trig functions
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