JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Static EMI

  • 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 [MP PMT 1986; CBSE PMT 1992; Pb PET 2000]

    A)            Four times                            

    B)            Doubled

    C)            Halved                                    

    D)            Unchanged

    Correct Answer: A

    Solution :

               \[L\propto {{N}^{2}}\ i.e.\frac{{{L}_{1}}}{{{L}_{2}}}={{\left( \frac{{{N}_{1}}}{{{N}_{2}}} \right)}^{2}}\Rightarrow {{L}_{2}}={{L}_{1}}{{\left( \frac{{{N}_{2}}}{{{N}_{1}}} \right)}^{2}}=4{{L}_{1}}\]


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