J & K CET Engineering J and K - CET Engineering Solved Paper-2015

  • question_answer
    A \[1m\] long solenoid containing 1000 turns produces a flux density of \[3.14\times {{10}^{-3}}\text{ }T\]. The current in the solenoid will be

    A) \[2.0\text{ }A\]              

    B) \[2.5\,\,A\]

    C) \[3.0\,\,A\]              

    D) \[3.5\,\,A\]

    Correct Answer: B

    Solution :

    Given, \[L=1\text{ }m,\text{ }N=1000\] Number of turns per unit length \[n=\frac{N}{L}=\frac{1000}{1}=1000\] Magnetic field inside a long solenoid \[B={{\mu }_{0}}nI\] \[\Rightarrow \] \[3.14\times {{10}^{-3}}=4\times 3.14\times {{10}^{-7}}\times 1000\times I\] \[\Rightarrow \] \[10=4\times I\] \[\Rightarrow \] \[I=25\,A\]


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