Halliday, Resnick & Walker — Circuits: Problem 58

58 Figure 27-55 shows a circuit of four resistors that are connected to a larger circuit. The graph below the circuit shows the electric potential \(V(x)\) as a function of position \(x\) along the lower branch of the circuit, through resistor 4; the potential \(V_A\) is \(15.0\text{ V}\). The graph above the circuit shows the electric potential \(V(x)\) versus position \(x\) along the upper branch of the circuit, through resistors 1, 2, and 3; the potential differences are \(\Delta V_B = 2.00\text{ V}\) and \(\Delta V_C = 5.00\text{ V}\). Resistor 3 has a resistance of \(200\text{ }\Omega\). What is the resistance of (a) resistor 1 and (b) resistor 2?