JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Morning)

  • question_answer The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to: [JEE Main 9-4-2019 Morning]

    A) \[1/{{L}^{2}}\]

    B)               \[1/L\]

    C) \[L\]                            

    D) \[{{L}^{2}}\]

    Correct Answer: B

    Solution :

    \[\phi =NBA=LI\]           \[N{{\mu }_{0}}nI\pi {{R}^{2}}=LI\] \[N{{\mu }_{0}}\frac{N}{\ell }I\pi {{R}^{2}}=LI\] \[N\And R\]constant self inductance\[(L)\propto \frac{1}{\ell }\propto \frac{1}{length}\] Option

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