VMMC VMMC Medical Solved Paper-2012

  • question_answer
    A thin ring of radius R metre has charge q coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of\[f\]revolution/s. The value of magnetic induction in \[\text{Wb}{{\text{m}}^{-2}}\]at the centre of the ring is

    A) \[\frac{{{\mu }_{0}}qf}{2\pi R}\]

    B)  \[\frac{{{\mu }_{0}}q}{2\pi fR}\]

    C)  \[\frac{{{\mu }_{0}}q}{2fR}\]

    D)  \[\frac{{{\mu }_{0}}qf}{2R}\]

    Correct Answer: C

    Solution :

     The magnetic field at the centre of the circle \[=\frac{{{\mu }_{0}}}{4\pi }\times \frac{2\pi i}{R}=\frac{{{\mu }_{0}}}{2}\frac{(q)}{Rt}\] We have frequency \[f=\frac{1}{T}\] \[\therefore \]The magnetic field \[B=\frac{{{\mu }_{0}}qf}{2R}\]


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