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MGIMS WARDHA MGIMS WARDHA Solved Paper-2003

  • question_answer
    A coil having resistance of 50 ohm and an inductance of 10 ohm, is connected to a 100 volt battery. The energy stored in the coil is :

    A) 10J                                         

    B) 20J

    C) 30 J                                                        

    D) 40 J

    Correct Answer: B

    Solution :

    Given: \[R=50\,\Omega ,L=10\,\Omega ,V=100\,\,V\] Energy stored in coil \[U=\frac{1}{2}L{{i}^{2}}\]                 \[=\frac{1}{2}L{{\left( \frac{V}{R} \right)}^{2}}\]                 \[=\frac{1}{2}L.\frac{{{V}^{2}}}{{{R}^{2}}}\]                 \[=\frac{1}{2}\times 10\times \frac{100\times 100}{50\times 50}\]                 \[=20\,J\]


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