A fixed \(1.0\text{k}\Omega\) resistor and a \(4.0\text{k}\Omega\) potentiometer are connected in series across a 5V battery of negligible internal resistance. Calculate the maximum and minimum values of \(V_{AB}\) based on possible potentiometer settings. (See Subsection 11.4.2 for an explanation of potentiometers.)
Calculate values and directions for all unknown currents in Figure 2.9.7. Please use the mesh method as it is likely the shortest path to the solution. [UPDATED SINCE ASSIGNED SP25]