An ideal battery with electromotive force \(\varepsilon = 24 \text{ V}\) is connected to a circuit consisting of two parallel vertical branches and a horizontal cross-branch. The left branch contains resistor \(R_1 = 2.0 \text{ }\Omega\) and resistor \(R_2 = 6.0 \text{ }\Omega\) in series, with node \(X\) located between them. The right branch contains resistor \(R_3 = 5.0 \text{ }\Omega\) and resistor \(R_4 = 7.0 \text{ }\Omega\) in series, with node \(Y\) located between them. The cross-branch connects node \(X\) and node \(Y\), containing resistor \(R_5 = 4.0 \text{ }\Omega\) and an uncharged capacitor \(C = 10 \text{ }\mu\text{F}\) in series. After the circuit has been connected for a long time and reached steady state, what is the potential difference \(\Delta V_C\) across the capacitor?