Find the potential difference V_a - V_b between nodes a and b for the circuit labeled (c) in the provided figure.

Step-by-step solution

In the circuit labeled (c), let the potential at the bottom middle node b be V_b = 0 . The left battery has an electromotive force of 2 V with its positive terminal facing right. The potential at the node between the left battery and the left 2 F capacitor is V_a - 2 . The right battery also has an electromotive force of 2 V with its positive terminal facing right (indicated by the longer line). The potential at the node between the right battery and the right 2 F capacitor is V_a + 2 . Let the capacitance of the m