A circuit is constructed with five resistors and one real battery as shown above right. We model. The real battery as an ideal emf V = 12 V in series with an internal resistance r as shown above left. The values for the resistors are: R1 = R3 = 59 Ω, R4 = R5 = 79 Ω and R2 = 140 Ω. The measured voltage across the terminals of the batery is Vbattery = 11.61 V.
What is r, the internal resistance of the battery?
2. Relevant equations
Vb = Vo((R/r)/(1+R/r))
Vb= voltage across battery terminals
Vo= Internal voltage
r= internal resistance
R= external resistance
Total ext. resistance in parallel: 1/Rt= 1/r1 + 1/r2
total ext. resistance in series: Rt = r1 + r2
3. The attempt at a solution
Taking total resistance dividing by the amperage.