J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    In using Ampere's law to find the magnetic field of a straight, long solenoid, the loop (Amperian loop) that is taken is

    A)  a circular loop, coaxial with the solenoid

    B)  a  rectangular  loop   in   a  plane perpendicular to the axis of the solenoid

    C)  a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid

    D)  a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid and partly outside it

    Correct Answer: D

    Solution :

    When  a current carrying coil is placed in a uniform magnetic field B, then torque, \[\tau =MB\,\,\sin \theta \] \[\tau =(NIA)\,B\,\sin \,\theta \] \[\tau =10\times 1\times 0.2\times 6\times {{10}^{-4}}\times \sin \,{{30}^{o}}\] \[=10\times 1\times 0.2\times 6\times {{10}^{-4}}\times \frac{1}{2}\] \[=6\times {{10}^{-4}}\,N-m\]


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