A $37\mathrm{.}5$ mA current is carried by a uniformly wound air$-$core solenoid with $410$ turns, a $13\mathrm{.}0$ mm diameter, and $11\mathrm{.}5$ cm length.

$($a$)$ Compute the magnetic field inside the solenoid.

$T$

$($b$)$ Compute the magnetic flux through each turn.

$T*m^2$

$($c$)$ Compute the inductance of the solenoid.

$mH$

$($d$)$ Which of these quantities depends on the current? $($Select all that apply.$)$

magnetic field inside the solenoid

magnetic flux through each turn

inductance of the solenoid