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Sp06-Final-Liphardt-Exam - UNIVERSITY OF CALIFORNIA...

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UNIVERSITY OF CALIFORNIA, BERKELEY Physics Department 7b, Liphardt Spring Term 2006 Final Exam Name __________________________ Disc. Section ____________________ SID ____________________________ #1______ (20) #2______ (20) #3______ (20) #4______ (20) #5______ (20) Total______ The relative weight of each problem is indicated next to the problem number. Most credit will be given for algebraic work. Please do not insert numerical values until you have a final algebraic answer inside a box. If you don’t know a particular constant, use a symbol to get partial credit. It is almost impossible to award partial credit if you insert numbers too early. If you get stuck on one problem, go on to the next and come back to the difficulties later in the exam period. Do not leave early until you have completed everything. Do not quit! Never, never, never quit!! As usual, before you start to manipulate equations and numbers you should think for a moment and make sure that you have a general sense of the important features of a problem. Also, once you have computed something, check to see if your answer has the right units, and if it is in the right ballpark. For example, if your answer to any problem is something like π x 10 P 418 P Kelvin/meters, you should check your work. !!!!!!!!!!!!GOOD LUCK!!!!!!!!!!!
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Problem 1 [20]. A capacitor C = 3 μ F is charged with Q = 4x10 P -4 P C and is connected in series with a wire of length l = 2 m. The wire has a circular cross-section of radius r = 1 mm, a resistivity of 4x10 P -8 P Ω m, a mass of 10 P -4 P kg and a specific heat of 500 J/kgC ˚ . At t = 0, the capacitor begins to discharge through the resistor. k B B B = 1.38*10 P -23 P J/K. ( a ) When does the voltage on the capacitor drop to 23 V?
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