1. The problem statement, all variables and given/known data What i may ask may seem simple, but it is casuing me a lot of headaches. What is the effective potential difference across a resistor if it is connected to a parrallel connection of batteries. Lets quantify the variables. Battery one has an e.m.f. of 2 V while battery 2 has an e.m.f. of 6V. Resistor has a resistance of 7ohms. 2. Relevant equations Kirchoff's spotential difference law 3. The attempt at a solution Ok, according to kirchoff's second law, for any closed loop, the algebraic sum of potential difference is 0. But for both closed loops, the potential difference across the resistor is different. So what really happens in this case? Will the potential difference across the resistor be 5V and the 2V battery does not release a current at all? Please help. Surely this is not the case.