JCECE Medical JCECE Medical Solved Paper-2002

  • question_answer
    A solenoid of length\[l\]metre has self-inductance L henry. If number of turns are doubled, its self inductance:

    A)  remains same

    B)  becomes 2 L henry

    C)  becomes 4 L henry

    D)  becomes\[\frac{L}{\sqrt{2}}\] henry

    Correct Answer: C

    Solution :

     The self-inductance (L) of a coil having N number of t.3ums is given by \[L=\frac{{{\mu }_{0}}{{N}^{2}}A}{l}\] \[\Rightarrow \] \[\frac{{{L}_{1}}}{{{L}_{2}}}=\frac{N_{1}^{2}}{N_{2}^{2}}\]              Given, \[{{L}_{1}}=L,\,{{N}_{1}}=N,\,{{N}_{2}}=2N\] \[\therefore \] \[{{L}_{2}}=4L\]


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