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JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Self Evaluation Test - Electromagnetic Induction

  • question_answer
    ABCD is a wire frame in the shape of an isosceles trapezium (i.e., length AB = length CD) enter a magnetic field with flux density B at t=0 as shown in the figure. If the total resistance of wire frame is R. What is the value of the induced current in the wire frame after t seconds, assuming that the frame has to entered the field completely by then? [v=Velocity of frame]

    A) zero

    B) \[\frac{Bv}{R}(2vt\,\sin \,\theta +\ell )\]

    C) \[\frac{Bv}{R}\left( \frac{2vt\,}{\tan \,\theta }+\ell  \right)\]

    D) \[\frac{B}{v}\]

    Correct Answer: C

    Solution :

    [c] Total effective length crossing the flux lines \[=\frac{2vt}{\tan \,\phi }+l\]        Current\[=\frac{B\left( \frac{2vt}{\tan \,\phi }+l \right)v}{R}\]


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