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In the circuit shown, the voltage $V_{IN}(t)$ is described by: $$V_{IN}(t)=\begin{cases} 0, &  \text{for } t< 0 \\ 15 \text{Volts} & \text{for } t\geq 0 \end{cases}$$

where $t$ is in seconds. The time (in seconds) at which the current $I$ in the circuit will reach the value $2$ Amperes is ___________.

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