AIIMS AIIMS Solved Paper-2015

  • question_answer
    While keeping area of cross-section of a solenoid same, the number of turns and length of solenoid one both doubled. The self inductance of the coil will be

    A) halved

    B) doubted

    C) \[{{l}_{2}}\] times the original value

    D) unaffected

    Correct Answer: B

    Solution :

     The magnetic field inside the solenoid\[=\frac{v'}{v}=\frac{v/2}{v}=\frac{1}{2}=0.5\] Flux,           \[\phi =BnlA={{\mu }_{0}}{{n}^{2}}lAi\]where, A = area of cross-section. As,          \[\text{C}{{\text{H}}_{\text{3}}}\text{C}{{\text{H}}_{\text{2}}}\text{CON}{{\text{H}}_{\text{2}}}\] Here, n = number of turns per unit length \[\text{C}{{\text{H}}_{\text{3}}}NCO\] When N and \[\text{C}{{\text{H}}_{\text{3}}}\text{CON}{{\text{H}}_{2}}\] are doubled, then \[L'={{\mu }_{0}}\frac{{{(2N)}^{2}}}{2l}A=2{{\mu }_{0}}\frac{{{N}^{2}}A}{l}=2L\]


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