A $65\mathrm{.}9$ mH inductor is connected as in the figure to an ac generator with $\backslash (\backslash$varepsilon$\_\{\backslash$mathrm$\{$m$\}\}=40\mathrm{.}0\backslash$mathrm$\{$~V$\}\backslash ).$ What is the amplitude of the resulting alternating current if the frequency of the emf is $($a$)1\mathrm{.}11$ kHz and $($b$)8\mathrm{.}88$ kHz $?$

$($a$)$ Number Units

$($b$)$ Number Units