CMC Medical CMC-Medical VELLORE Solved Paper-2008

  • question_answer
    A 16\[\mu F\] capacitor is charged to a 20V potential. The battery is then disconnected and pure 40 mH coil is connected across the capacitor, so that LC oscillations are setup. The maximum current in the coil is

    A)  0.2 A                                    

    B)  40 mA

    C)  2 A                                        

    D)  0.4 A

    E)  0.8 A

    Correct Answer: D

    Solution :

                    Energy of charged  capacitor = energy generated across inductor coil Given, \[C=16\mu F=16\times {{10}^{-6}}F,\]\[V=20\,\,\text{volt,}\] \[L=40\,mH=40\times {{10}^{-3}}H\] \[\therefore \]\[\frac{1}{2}\times 16\times {{10}^{-6}}\times {{(20)}^{2}}=\frac{1}{2}\times 40\times {{10}^{-3}}\times {{i}^{2}}\] \[\Rightarrow \]                               \[{{i}^{2}}=\frac{16}{100}\] \[\Rightarrow \]                               \[i=0.4\,A\]


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