1.) The figure below shows a circuit consisting of 2 batteries and three resistors. The resistance values, voltages, and the current through resistor 2 are given in the figure. a. Write down a system of 3 independent equations in terms of i1, i2, and i3 using both the node rule and the loop rule. Indicate the initial guess of the direction of the currents through resistors 1 and 3, as well as the direction of the loops. b. Determine the current through resistor 1. c. Determine the current through resistor 2. 3 Ry = 2000 0 R3 = 6000 node R2= 8000 0 5.0 V 12 = 0.6658 mA 10 V