1. Wire with three different conductivities A wire is made from three different metals with conductivities 01, 02, and 03 (02 > 01, 03). The three segments have the same radius R. When a current of magnitude / passes to the right through the wire, a thin layer of charge appears at each boundary between the two different metals (surface charge density S, and $2, respectively). The segments have lengths LI, L2, and L3 respectively. See the figure below. 1 01 JZ 3 Surface charge Surface charge density, S, density, S,{all Find the surface charge density 31 and 8'2 [to avoid confusion with conductivity!) of the thin layer of charge at each boundary. Determine the signs of the surface charge densities. What is the resistance of the entire wire?l Consider a special case in which the middle metal shows a very high conductivity {o2 4.- oo). Find the surface charge densities [31, 5'2} for two boundaries from the results of part [a] in the extreme limit. Check if the relation between the electric eld and surface charge density at each boundary looks similar to what we previously observed in a conductor in electrostatic equilibrium. Explain briey why this is the case