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

  • question_answer
    The self-inductance L of a solenoid of length I and  area of cross-section A, with a fixed number of turns N increases as

    A) I and A increase.

    B) I decreases and A increases.

    C) I increases and A decreases.

    D) both I and A decrease.

    Correct Answer: B

    Solution :

    Option [b] is correct.
    Explanation: As we know that,
    \[\operatorname{L}={{\mu }_{r}}{{\mu }_{0}}\frac{{{\operatorname{N}}^{2}}A}{l}\]
    As L is constant for a coil,
    \[\operatorname{L}=\propto \] A and L\[\propto -\]
    As \[{{\mu }_{r}}\] and N are constant here so, to increase L for a coil, area A must be increased and l must be decreased. So answer [b] is correct.
    Impotant Point: The self and mutual inductance of capacitance and resistance depend on the geometry of the devices as well as permittivity/ permeability of the medium.


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