The formula for the inductance of a solenoid is given by:
$L = \frac{\mu_0 N^2 A}{l}$
where:
$\mu_0$ is the permeability of free space ($4\pi \times 10^{-7} \text{ T}\cdot\text{m/A}$)
$N$ is the number of turns
$A$ is the cross-sectional area of the solenoid
$l$
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