Try this! 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 :

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)

S solutionqc

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)

$1/L$