J & K CET Engineering J and K - CET Engineering Solved Paper-2009

  • question_answer
    A charge q coulomb makes n revolutions in one second in a circular orbit of radius r. The magnetic field at the centre of the orbit in \[N{{A}^{-1}}{{m}^{-1}}\]is

    A)  \[\frac{2\pi rn}{q}\times {{10}^{-7}}\]

    B)  \[\left( \frac{2\pi q}{r} \right)\times {{10}^{-7}}\]

    C)  \[\frac{1}{2}({{t}_{1}}+{{t}_{2}})\]

    D)  s\[\frac{{{t}_{1}}{{t}_{2}}}{{{t}_{1}}+{{t}_{2}}}\]

    Correct Answer: D

    Solution :

    \[{{\beta }_{centre}}=\frac{{{\mu }_{0}}I}{2r}\] \[=\frac{{{10}^{-7}}\times 4\pi (nq)}{2r}=\frac{2\pi nq}{r}\times {{10}^{-7}}\]


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