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BVP Medical BVP Medical Solved Paper-2010

  • question_answer
    Two conducting circular loops of radii \[mg\left[ a+\frac{b}{2} \right]\] and\[mg\left[ \frac{b-a}{2} \right]\] are placed in the same plane with theircentres coinciding. If \[mg\left[ \frac{b+a}{2} \right]\], the mutual inductance M between them will be directly proportional to

    A)  \[i={{i}_{1}}\cos \omega t+{{i}_{2}}\sin \omega t\]                         

    B) \[\frac{{{i}_{1}}+{{i}_{2}}}{2}\]

    C) \[\frac{{{({{i}_{1}}+{{i}_{2}})}^{2}}}{\sqrt{2}}\]                   

    D) \[\frac{1}{\sqrt{2}}\sqrt{i_{1}^{2}+i_{2}^{2}}\]

    Correct Answer: D

    Solution :

                    Magnetic field at the centre of primary coil \[\Omega \] Considering it to be uniform, magnetic flux passing through secondary coil is                 \[t=\infty \] Now      \[\frac{{{e}^{1/2}}}{{{e}^{1/2}}-1}\]                 \[\frac{{{e}^{2}}}{{{e}^{2}}-1}\]


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