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Unformatted text preview: Felder, Jacob Homework 13 Due: Dec 12 2006, 9:00 pm Inst: Vitaly 1 This printout should have 13 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 3) 10 points An LC circuit is shown in the figure below. The 29 pF capacitor is initially charged by the 8 V battery when S is at position a . Then S is thrown to position b so that the capacitor is shorted across the 18 mH inductor. 18 mH 29 pF 8 V S b a What is the maximum value for the oscil lating current assuming no resistance in the circuit? Correct answer: 0 . 000321109 A. Explanation: Let : C = 29 pF = 2 . 9 10 11 F , L = 18 mH = 0 . 018 H , and E = 8 V . The maximum charge on the capacitor is Q max = C V . The maximum current is I max = Q m = C V , where is the oscillatory frequency given by = 1 LC . Thus I max = r C L V = r 2 . 9 10 11 F . 018 H (8 V) = . 000321109 A . 002 (part 2 of 3) 10 points What is the natural angular frequency of the circuit? Correct answer: 1 . 38409 10 6 rad / s. Explanation: = 1 LC = 1 p (0 . 018 H)(2 . 9 10 11 F) = 1 . 38409 10 6 rad / s . 003 (part 3 of 3) 10 points What is the maximum energy stored in the magnetic field of the inductor? Correct answer: 9 . 28 10 10 J....
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This note was uploaded on 04/03/2009 for the course PHYS 121 taught by Professor Opyrchal during the Fall '08 term at NJIT.
 Fall '08
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