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JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Critical Thinking

  • question_answer
    A square metallic wire loop of side 0.1 m and resistance of 1W is moved with a constant velocity in a magnetic field of 2 wb/m2 as shown in figure. The magnetic field is perpendicular to the plane of the loop, loop is connected to a network of resistances. What should be the velocity of loop so as to have a steady current of 1mA in loop

    A)            1 cm/sec                              

    B)            2 cm/sec

    C)            3 cm/sec                              

    D)            4 cm/sec

    Correct Answer: B

    Solution :

                       Equivalent resistance of the given Wheatstone bridge circuit (balanced) is 3W so total resistance in circuit is \[R=3+1=4\Omega \]. The emf induced in the loop \[e=Bvl\].                    So induced current \[i=\frac{e}{R}=\frac{Bvl}{R}\,\,\,\]            \[\Rightarrow \,\,\,{{10}^{-3}}=\frac{2\times v\times (10\times {{10}^{-2}})}{4}\Rightarrow v=2cm/sec.\]


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