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MGIMS WARDHA MGIMS WARDHA Solved Paper-2005

  • question_answer
    In an oscillating LC circuit the maximum                 charge on the capacitor is Q. The charge on the capacitor, when the energy is stored equally between the electric and magnetic field is :

    A)  \[\frac{\theta }{2}\]                                      

    B) \[\frac{\theta }{\sqrt{2}}\]

    C) \[\frac{\theta }{\sqrt{3}}\]                                          

    D) \[\frac{\theta }{3}\]

    Correct Answer: B

    Solution :

    Maximum energy stored in the capacitor \[{{U}_{\max }}=\frac{{{Q}^{2}}}{2C}\] The energy is stored equally in electric and magnetic fields. So, Energy is eleactric field \[E=\frac{1}{2}\left( \frac{{{Q}^{2}}}{2C} \right)\] Now      \[\frac{{{Q}^{2}}}{2C}=\frac{1}{2}\frac{{{Q}^{2}}}{2C}\] \[\therefore \]  \[Q'=\frac{Q}{\sqrt{2}}\]


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