AIIMS AIIMS Solved Paper-2011

  • question_answer
    The resistance of a circular coil of 50 turns and 10 cm diameter is \[5\Omega \]. What must be the potential difference across the ends of the coil so as to nullify the earths magnetic field (H =0.314 gauss) at the centre of the coil? How should the coil be placed to achieve this result?

    A)  0.5 V with plane of coil normal to die magnetic meridian

    B)  0.5 V with plane of coil in the magnetic meridian

    C)  0.25 V with plane of coil normal to the magnetic meridian                 

    D)  0.25 V with plane of coil in the magnetic meridian

    Correct Answer: C

    Solution :

    Given, \[=\frac{5}{5}(1-{{e}^{-5\times 2/10}})\], \[I=(1-{{e}^{-1}})\] \[v=u-gt\] and \[0=u-9.8\times 5\] gauss For circular coil, \[=49m/s\] or     \[h=ut-\frac{1}{2}g{{t}^{2}}\] \[=0-\frac{1}{2}\times 98\times {{(5)}^{2}}\] \[=\frac{245}{2}m\] \[{{v}^{2}}={{u}^{2}}-2gh\] \[0={{u}^{2}}-2gh\] Magnetic field produced due to the coil is normal to the plane of coil so the plane of the coil should be normal to the magnetic meridian. Hence choice  is correct.


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