00:01
So here we're looking for the voltage across the resistor r on top of this diagram.
00:07
And so here i have the diagram from the problem, and i also have drawn in the currents.
00:13
These are going to be the directions of the currents in this problem.
00:17
We know that currents leave the positive ends of batteries and go into the negative ends of batteries.
00:22
And so this is the only way that makes sense for the currents to flow with that rule in mind.
00:27
So the way we're going to solve this is we're first going to find i3, or the current going through the resistor we're looking at.
00:36
And then we'll use that to find the voltage.
00:38
So first, we're going to use the junction rule at this junction here.
00:43
The current going into the junction is i1 plus i2, and that's equal to the current going out of the junction, which is i3.
00:54
And next we're going to do the loop rule on this big loop here.
01:03
So starting with the battery, we have emf1, but then we have an internal resistance...