JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Static EMI

  • question_answer
    If in a coil rate of change of area is 5 m2/milli second and current become 1 amp from 2 amp in \[2\times {{10}^{-3}}\,sec.\] If magnitude of field is 1 tesla then self inductance of the coil is [RPET 2000]

    A)            2 H

    B)            5 H

    C)            20 H                                         

    D)            10 H

    Correct Answer: D

    Solution :

                       \[N\varphi =Li\Rightarrow \frac{Nd\varphi }{dt}=\frac{Ldi}{dt}\Rightarrow NB\frac{dA}{dt}=\frac{Ldi}{dt}\]            \[\Rightarrow \frac{1\times 1\times 5}{{{10}^{-3}}}=L\times \left( \frac{2-1}{2\times {{10}^{-3}}} \right)\Rightarrow L=10H\]


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