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

  • question_answer
    A coil having n turns and resistance \[R\Omega \]. Is connected with a galvanometer of resistance\[4R\,\Omega \]. This combination is moved in time t second from a magnetic flux \[{{\phi }_{1}}\]weber to\[{{\phi }_{2}}\] weber. The induced current in the circuit is

    A) \[-\frac{{{\phi }_{2}}-{{\phi }_{1}}}{5\,Rnt}\]   

    B) \[-\frac{n({{\phi }_{2}}-{{\phi }_{1}})}{5\,Rt}\]

    C) \[-\frac{({{\phi }_{2}}-{{\phi }_{1}})}{\,Rnt}\]   

    D) \[-\frac{n({{\phi }_{2}}-{{\phi }_{1}})}{\,Rt}\]

    Correct Answer: B

    Solution :

    [b] The change in flux \[=n({{\phi }_{2}}-{{\phi }_{1}})\] Total resistance of the circuit\[=4R+R=5R\] Thus induced current, \[i=\frac{\Delta \phi /\Delta t}{R}=\frac{n({{\phi }_{2}}-{{\phi }_{1}})}{5RT}\]


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