Final answer:
Without a circuit diagram or specific resistance and battery voltage values, it's not possible to provide accurate current and potential difference calculations for the described circuit problem.
Step-by-step explanation:
The student's question involves calculating the current leaving each battery and the potential difference between two points (A and B) in a circuit with imperfect batteries and resistors. To solve this, you need to understand concepts like Ohm's Law, Kirchhoff's Voltage Law, and how to calculate equivalent resistance, as well as how current divides in parallel circuits. However, without a detailed diagram or specific values for the resistances and battery voltages, I cannot provide an accurate answer to the problem given. The question seems to be about circuit analysis, which often involves calculating currents, potential differences, and power dissipation in various components. Understanding these electrical principles is essential for solving complex circuit problems in physics.