Recall that resistors add differently depending on how they are arranged. Series: Rtot = R1 + R2 +... for resisters which are all in a single series (that is they all have the same current because the flow of current has no choice). Parallel: - R1 RZ 1 + +... for resistors which are all in a single parallel structure (that is that the current has to choose between the resistors). Consider the following circuit, where each resistor is identical with resistance R: 1. Progressively reduce the circuit according to the highlighted areas. a. = KI b. RC. Q = Kit 2. In terms of Vo and R, what is the total current flowing through the battery? What power is the battery providing? 3. Two students are considering the following circuit: 300 0 100 0 200 0 19 V 12 Student 1: "Ok, so in order to figure out how much current goes through the battery, we need to reduce the circuit so we know what the total resistance is. That way we can use Ohm's law." Student 2: "Sure, so I know how to combine the resistors, because they are in parallel, but how do we combine the batteries?" How would you resolve this discussion? Address the following points: Are the resistors really all in parallel? -How can a battery be "packaged" with another battery in parallel? How about in series? Can you do this if resistors and batteries are mixed in parallel and series