Two separate circuits each contain an ideal battery of electromotive force \(\mathcal{E}\), an open switch, a resistor of resistance \(R\), and an initially uncharged parallel-plate capacitor. Capacitor 1 has capacitance \(C_1\) and Capacitor 2 has capacitance \(C_2\). At time \(t = 0\), both switches are closed, and the potential difference \(V(t)\) across each capacitor is recorded as a function of time \(t\), as shown in the graph. Which of the following statements correctly compares the capacitances of the two capacitors and their initial displacement currents \(I_d = \varepsilon_0 \dfrac{d\Phi_E}{dt}\) at \(t = 0\)?