Problem 2: 20 pts Consider the recursive network shown in the gure below. It has several interesting properties. R1 R5 j Rles a) Find an expression

Consider the recursive network shown in the figure below. It has several interesting properties. 

Please refer to the attachment!

Problem 2: 20 pts Consider the recursive network shown in the figure below. Ithas several interesting properties. R1R5 j Rles a) Find an expression for the resistance seen at the left terminal of each of the R1 resistors labeled Rs in the resistive ladder shown in the circuitbelow in terms of R5, R1, and R2. [4] b) Find the resistance on the left of the ladder network shown below. Whatwould be the result for an infinite connection of R1 and R2 segments? [4) c) Solve the recursive equation that you found in a) in terms of Rs. [6] d) One special case of the network described occurs for R2 = R1 = R.Calculate the resistance Rs that would be seen. This is a special numbercalled the golden ratio. [2) e] Another special case of this is the R-ZR ladder which occurs when R2 =2R1. Calculate the resistance Rs seen at the terminal for the R-ZR ladderunder this condition. If Rs = 1 kOhm, find R1 and R2. [4)