hw13 solution

# hw13 solution - lam (kl9432) hw13 Shneidman (12108) 1 This...

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Unformatted text preview: lam (kl9432) hw13 Shneidman (12108) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 3) 10.0 points An LC circuit is shown in the figure below. The 33 pF capacitor is initially charged by the 5 V battery when S is at position a . Then S is thrown to position b so that the capacitor is shorted across the 17 mH inductor. 17 mH 33 pF 5 V S b a What is the maximum value for the oscil- lating current assuming no resistance in the circuit? Correct answer: 0 . 000220294 A. Explanation: Let : C = 33 pF = 3 . 3 10 11 F , L = 17 mH = 0 . 017 H , and E = 5 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 = radicalbigg C L V = radicalbigg 3 . 3 10 11 F . 017 H (5 V) = . 000220294 A . 002 (part 2 of 3) 10.0 points What is the natural angular frequency of the circuit? Correct answer: 1 . 33511 10 6 rad / s. Explanation: = 1 LC = 1 radicalbig (0 . 017 H) (3 . 3 10 11 F) = 1 . 33511 10 6 rad / s . 003 (part 3 of 3) 10.0 points What is the maximum energy stored in the magnetic field of the inductor? Correct answer: 4 . 125 10 10 J. Explanation: U max,ind = U max,cap = Q 2 max 2 C = 1 2 C V 2 ....
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## This note was uploaded on 04/07/2012 for the course PHYSICS 121 taught by Professor James during the Spring '12 term at University of Texas at Austin.

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hw13 solution - lam (kl9432) hw13 Shneidman (12108) 1 This...

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