Uttarakhand PMT Uttarakhand PMT Solved Paper-2011

  • question_answer
    A circuit has a self-inductance of 1H and carries a current of 2A. To prevent sparking, when the circuit is switched off, a capacitor which can withstand 400v is used. The least capacitance of the capacitor connected across the switch must be equal to

    A)  50 \[\mu F\]           

    B)  25 \[\mu F\]

    C)  100 \[\mu F\]           

    D)  12.5 \[\mu F\]

    Correct Answer: D

    Solution :

     Energy stored in capacitor is equal to energy stored in inductance \[\frac{1}{2}c{{v}^{2}}=\frac{1}{2}L{{I}^{2}}\] \[c=\frac{L{{I}^{2}}}{{{V}^{2}}}\] \[=\frac{1\times {{(2)}^{2}}}{{{(400)}^{2}}}\] \[=25\,\mu F\]


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