2. Consider the circuit shown containing 2 batteries and 4 resistors. Let us propose (guess) that the currents flowing through the resistors have the directions shown. a.) Write down Kirchoff's Loop Rule applied to the loop a+b+c+h+g dea, in that order, starting point a. Give your answer in a form that includes R's and I's. Remember to express. 6.) Write down Kirchhoff's Junction Rule applied to junction e. c.) Assume that V =a9V, V = 6V, R = 278, R = 10R, R3 = 825, and R = 3951. Determine the magnitude and the actual direction (up or down of the current flowing through R3. Hint, to avoid solving multiple equations with multiple unknowns: What is the simplest loop including this resistor? R. a I, V. I, d C e Rz f 9 Vz h