So I was doing a circuit with some friends, and the circuit breaks down such that There is what looks like a parallel circuit, with one branch containing just the wire, and the other branch containing a resistor. The answer to the question shows that the electrons will not flow through this resistor(R2). Why is this the case? Is there literally no electrons going throug the resistor? How do they know not to take that path? So the answer R = R1 + R3 Mathematically how do we know this is being discluded? Or are we just assuming nothing will go through the resitor R2?