BCECE Medical BCECE Medical Solved Papers-2001

  • question_answer
    Coefficient of coupling between two coils of self-inductances \[{{L}_{1}}\] and \[{{L}_{2}}\] is unity. It means:

    A)  50% flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]

    B)  100% flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]

    C)  \[\sqrt{{{L}_{1}}}\] time of flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]

    D)  none of the above

    Correct Answer: B

    Solution :

    Two coils are said to be magnetically coupled, if full or a part of the flux produced by one links with the other. Let \[{{L}_{1}}\] and \[{{L}_{2}}\] be the self-inductances of the coils and M be their mutual inductances, then                 \[k=\frac{M}{\sqrt{{{L}_{1}}{{L}_{2}}}}\] When 100% flux produced by one coil links with the other, then mutual inductance between the two is maximum and is given by                 \[M=\sqrt{{{L}_{1}}{{L}_{2}}}\] In that case, \[k=1\](unity) Note: When there is no common flux between the two coils, they are said to be magnetically isolated. In this case, \[k=O\] and \[M=O\]. In practice k lies between 0 and 1.


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