A circuit contains an ideal battery of electromotive force \(\varepsilon = 12.0\text{ V}\), a resistor \(R_1 = 100\text{ }\Omega\), an unknown resistor \(R_2\), an uncharged capacitor of capacitance \(C\), and a switch \(S\). As shown in the circuit schematic, \(R_1\) is in series with the battery loop, while \(R_2\) and \(C\) form parallel branches. The switch is closed at time \(t = 0\), and the potential difference across the capacitor \(V_C\) as a function of time \(t\) is recorded in the graph. Based on the circuit setup and the graph, what is the capacitance \(C\)?