1: In this problem, we consider some issues associated with power loss (as heat) in high-voltage transmission lines. In particular, we consider the transmission of power from Page, Arizona (located near the Navajo Generating Station and the Glen Canyon Dam), to the Phoenix metropolitan area. This is a distance of about 260 miles. For this problem, we assume that the high voltage transmission lines have a resistance of 0.05/mile; the resistance in the 260 mile transmission line is 13. We model this system using the following circuit: The voltage source VS models the power generating facilities. The 13 resistor models the power transmission lines. RL models the load (users in the Phoenix metro area). Note that by controlling the amount of power dissipated by the load and by using transformers to step voltages up or down (which we will not discuss in detail in this class), the value of RL used to model the load can be varied. In this problem, assume that you can choose RL to be whatever is necessary to solve the problem. (a) Suppose first that VS = 400kV, and that the source should supply 800MW to the circuit. 5 points each i. Find the