J & K CET Medical J & K - CET Medical Solved Paper-2000

  • question_answer
    When the number of turns in a coil is doubled without any change in the length of the coil, its self-inductance becomes :

    A)  4 times                                

    B)  2 times

    C)  halved                                

    D)  remains unchanged

    Correct Answer: A

    Solution :

                    The self-inductance of a solenoid of length\[I,\] number of turns N and area A is \[L=\frac{{{\mu }_{0}}{{N}^{2}}A}{l}\] where\[{{N}^{2}}=2\text{ }N,\]then                 \[{{L}_{2}}=\frac{{{\mu }_{0}}{{(2N)}^{2}}A}{l}=4L\] Hence, self-inductance becomes four times.


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