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CMC Medical CMC-Medical VELLORE Solved Paper-2008

  • question_answer
    A current \[I=100\,\sin \,(100\pi t)A\] is passed in coil, which induces a maximum emf 5\[\pi \]volt in second coil. The mutual inductance between the coils is

    A)  10 mH                                 

    B)  15 mH

    C)  25 mH                                 

    D)  20 mH

    E)                  5 mH

    Correct Answer: E

    Solution :

                    From Faradays law of electromagnetic induction \[e=-\frac{Mdi}{dt}\] \[\Rightarrow \]               \[M=-\frac{e}{di\text{/}dt}\] Given, \[e=5\pi \]volt, \[i=10\,\sin \,(100\pi t)A,\] \[{{\left( \frac{di}{dt} \right)}_{\max }}=10\times 1000\,\pi \] \[\therefore \]  \[M=-\frac{5\pi }{10\times 100\pi }\]                 \[=-5\times {{10}^{-3}}H=5\,mH\]


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