A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s=100 \sin(w_t) \: V$ where $\omega = 100\pi \text{ rad/s}$, and $L=31.83 \: mH$. The initial value of inductor current is zero. Switch $S$ is closed at $t=2.5 \: ms$. The peak value of inductor current $i_L$ (in $A$) in the first cycle is ________.
