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12th Class Physics Electro Magnetic Induction Question Bank MCQ - Electromagnetic Induction

  • question_answer
    When the number of turns of the coil is increased twice and the length is reduced by 4, what will be the self inductance of the coil?

    A) increased by 4       

    B) decreased by 4

    C) remain the same            

    D) increased by 2

    Correct Answer: C

    Solution :

    (c) remain the same We know that, \[L={{\mu }_{0}}{{n}^{2}}Al\] \[n'=2n\] and \[l'=\frac{l}{4}\] \[\therefore L'={{\mu }_{0}}{{(2n)}^{2}}A\left( \frac{l}{4} \right)\]             \[={{\mu }_{0}}4{{n}^{2}}A\left( \frac{l}{4} \right)={{\mu }_{0}}{{n}^{2}}Al=L\]


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