WB JEE Medical WB JEE Medical Solved Paper-2015

  • question_answer
    In the circuit shown below, the switch is kept in position a for a long time and is then thrown to position b. The amplitude of the resulting oscillating current is given by

    A)  \[E\sqrt{L/C}\]

    B)  \[E/R\]

    C)  infinity

    D)  \[E\sqrt{C/L}\]

    Correct Answer: D

    Solution :

     When switch is in position a, then capacitor will be charged, such that Charge on capacitor, \[q=CE\] Energy stored in capacitor, \[U={{q}^{2}}/2C\]When switch is in position b, then circuit becomes an LC oscillator. Let amplitude of current in LC circuit be \[{{I}_{o}}.\]From conservation of energy, maximum electrical energy = maximum magnetic energy \[\frac{{{q}^{2}}}{2C}=\frac{1}{2}LI_{0}^{2}\] \[[\because \,q=CE]\] \[\Rightarrow \]\[\frac{{{C}^{2}}{{E}^{2}}}{C}=LI_{0}^{2}\] \[\therefore \]\[{{I}_{0}}=E\sqrt{\frac{C}{L}}\]


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