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# 13 - kavo(ak22862 – HW13 – Janow –(12121 1 This...

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Unformatted text preview: kavo (ak22862) – HW13 – Janow – (12121) 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) 15.0 points An LC circuit is shown in the figure below. The 28 pF capacitor is initially charged by the 7 V battery when S is at position a . Then S is thrown to position b so that the capacitor is shorted across the 14 mH inductor. 14 mH 28 pF 7 V S b a What is the maximum value for the oscil- lating current assuming no resistance in the circuit? Correct answer: 0 . 00031305 A. Explanation: Let : C = 28 pF = 2 . 8 × 10 − 11 F , L = 14 mH = 0 . 014 H , and E = 7 V . The maximum charge on the capacitor is Q max = C V . The maximum current is I max = ω Q m = ω C V , where ω is the oscillatory frequency given by ω = 1 √ LC . Thus I max = radicalbigg C L V = radicalbigg 2 . 8 × 10 − 11 F . 014 H (7 V) = . 00031305 A . 002 (part 2 of 3) 10.0 points What is the natural angular frequency of the circuit? Correct answer: 1 . 59719 × 10 6 rad / s. Explanation: ω = 1 √ LC = 1 radicalbig (0 . 014 H) (2 . 8 × 10 − 11 F) = 1 . 59719 × 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: 6 . 86 × 10 − 10 J. Explanation: U max,ind = U max,cap = Q 2 max 2 C = 1 2 C V 2 ....
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13 - kavo(ak22862 – HW13 – Janow –(12121 1 This...

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