The total number of turns and cross-section area in a solenoid is fixed. However,its length L is varied by adjusting the seperation between windings. The inductance of solenoid will be proportional to :

 

  • Option 1)

    L

  • Option 2)

    L^{2}

  • Option 3)

    1/L^{2}

  • Option 4)

    1/L

 

Answers (1)

As we know :

 Self inductance, L

\frac{L}{l}=\mu _{0}n^{2}\pi r^{2}=\frac{\mu _{0}N^{2}}{l^{2}}\pi r^{2}

L=\frac{\mu _{0}N^{2}\pi r^{2}}{l}             (N,r are const.as given in question )

   L\propto \frac{1}{l}

 


Option 1)

L

Option 2)

L^{2}

Option 3)

1/L^{2}

Option 4)

1/L

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