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A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s$=100 sin($w_t$) $V$ where $ω$ = $100\pi$ $rad/s$, 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 ________.

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