A circuit consists of an ideal battery with an emf of \(\varepsilon = 12\text{ V}\), an open switch, a resistor of resistance \(R\), and an inductor of self-inductance \(L\) connected in series.

At time \(t = 0\), the switch is closed, and the current \(I\) in the circuit is recorded as a function of time \(t\), as shown in the graph. A dashed tangent line to the curve at \(t = 0\) is drawn, along with a dashed horizontal line indicating the steady-state current.

Based on the graph, what is the self-inductance \(L\) of the inductor?