Answer
The maximum value of the current is $~~5.22~mA$
Work Step by Step
We can find the maximum value of the current:
$I_L = \frac{V_L}{X_L}$
$I_L = \frac{V_L}{\omega_d~L}$
$I_L = \frac{25.0~V}{(377~rad/s)(12.7~H)}$
$I_L = 5.22~mA$
The maximum value of the current is $~~5.22~mA$