A circuit contains three vertical branches connected in parallel by ideal conducting wires at top and bottom junctions, as shown. The left branch contains a battery of emf \(\mathcal{E}_1 = 12\text{ V}\) oriented with its positive terminal toward the top junction, connected in series with a resistor \(R_1 = 3.0\ \Omega\). The middle branch contains a resistor \(R_2 = 6.0\ \Omega\). The right branch contains a battery of emf \(\mathcal{E}_2 = 3.0\text{ V}\) oriented with its positive terminal toward the top junction, connected in series with a resistor \(R_3 = 3.0\ \Omega\). What are the magnitude and direction of the electric current passing through resistor \(R_2\)?