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AMU Medical AMU Solved Paper-2013

  • question_answer
    A \[1.5\,\mu F\] capacitor is charged to 60 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitor so that LC oscillations occur. Assuming that the circuit contains no resistance, the maximum current in the coil shall be close to

    A)  1.4 A                    

    B)  1.2 A

    C)  0.8 A                    

    D)  0.6 A

    Correct Answer: D

    Solution :

                     Given that          \[C=1.5\mu F=1.5\times {{10}^{-6}}F\]                                 V = 60 V,                                                 \[L=15\,mH=15\times {{10}^{-3}}H\] As                           \[U=\frac{1}{2}C{{V}^{2}}\] and                        \[U=\frac{1}{2}L{{l}^{2}}\]                                 \[\frac{1}{2}L{{l}^{2}}=\frac{1}{2}C{{V}^{2}}\]                                 \[{{l}^{2}}=\frac{C{{V}^{2}}}{L}=\frac{1.5\times {{10}^{-6}}\times 60\times 60}{15\times {{10}^{-3}}}\]                                 \[l=0.6\,A\]


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