Uttarakhand PMT Uttarakhand PMT Solved Paper-2007

  • question_answer
    If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of solenoid will be

    A)  remain unchanged

    B)  be halved

    C)  be doubled

    D)  becomes four times

    Correct Answer: D

    Solution :

     \[L=\frac{{{\mu }_{0}}{{n}^{2}}A}{l}\] When \[n=\]doubled then \[L=\frac{{{\mu }_{0}}{{(2n)}^{2}}A}{l}\] \[\Rightarrow \] \[L=\frac{{{\mu }_{0}}\times 4{{n}^{2}}A}{l}\] \[\Rightarrow \] \[L=\frac{4{{\mu }_{0}}{{n}^{2}}A}{l}\] \[\Rightarrow \] \[L=4L\]


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