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MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    The inductance of a coil in which a current of 0.2 A is increasing at the rate of 0.5 A/s represents a power flow of 0.5 W, is

    A)  2H

    B)  5H

    C)  10 H                                     

    D)  20 H

    Correct Answer: B

    Solution :

                     \[U=\frac{1}{2}L{{I}^{2}}\] \[\therefore \]  \[P=\frac{dU}{dt}\] Or           \[P=\frac{1}{2}\times L\times (2I)\frac{dI}{dt}\] Or           \[P=LI\frac{dI}{dt}\Rightarrow L=\frac{P}{I\left( \frac{dI}{dt} \right)}\] Or           \[L=\frac{0.5}{0.2\times (0.5)}=5H\]


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