MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    A circular coil has 500 turn of wire and its radius is 5 cm. The self-inductance of the coil is

    A) \[25\times {{10}^{-}}^{3}mH\]                                  

    B)  \[25mH\]

    C)  \[50\times {{10}^{-}}^{3}H\]                                     

    D)  \[50\times {{10}^{-}}^{3}mH\]

    Correct Answer: B

    Solution :

    Self-inductance of circular coil is \[L=\frac{{{\mu }_{0}}{{n}^{2}}\pi r}{2}\] \[=\frac{4\pi \times {{10}^{-7}}}{2}\times {{(500)}^{2}}\times \pi (5\times {{10}^{-2}})\] \[=25\times {{10}^{-3}}H\] \[=25mH\]


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