Review In this prelab, you will calculate the resistance for current flowing through and along a cylinder made of two materials: one material for the inside and outside, and one material that fills a small gap between the inside and outside. This is practice for the geometry you will be simulating in lab. The system consists of an inner portion (a cylinder composed of material 1 with resistivity p1 and radius ri) and an outer portion [a cylindrical annulus composed of the same material 1, with inner radius ri+t and outer radius r0), separated by a thin cylindrical shell (made from material 2 with resistivity p2 and thickness t, in blue in the diagrams). The entire cylindrical sandwich has a length L. You will calculate the resistance between the inner and outer portions under two different sets of assumptions: one where you assume only the sandwich layer (material 2) contributes, and one where you assume only material 1 contributes. Simplify your results assuming that the thickness t is very small compared to the inner and outer radii. V Part A - R through Assume that material 1 is a very good conductor ([1] :0), so that the only contribution to resistance comes from current flowing through the thin cylindrical shell (material 2). Calculate the resistance between the two red wires on the left in the diagram, which are attached to the inner and outer portions of the object. Az'b-Oi? V Part B R along Now assume that material 2 is a very poor conductor ([32:00), so that all current must flow down the inner cylinder, around the end, and then back up the outer annulus; that is, no current flows across the barrier between the inner and outer portions. To make this work, assume there's a path for current to loop around from inner to outer: the wire appended to the end of the cylinder on the right. Assume t is very small. Calculate the resistance between the two red wires on the left in the diagram, which are attached to the inner and outer portions of the object. Imam muest Answer V Part C R along bis Now assume that the outside portion is very large. That is, take ro-m in your previous answer. Calculate the resistance between the two red wires on the left in the diagram, which are attached to the inner and outer portions of the object. ANDMOl? R_equest