Intro to ECE – Homework (74 points) Problem 1: (20 points) a Use Node Method to solve for VA, VB, VC b What will be changed if R5 is inserted (Figure 1.1 b) Figure 1.1 Explanation (5 points): Set of equations: (2 points) Result of equations (2 points) Explanation (5 points): Final result: VA = (2 points) VB = VC = Result when inserting the R5: (2 points) Explanation ( points): Problem 2: Use KVL, KCL to find out I1, I2, I3 (12 points) Figure 2.1 Explanation (6 points): Set of equations: (3 points) Final result: I1 = (3 points) I2 = I3 = Problem 3: Use KVL, KCL to find out i and u0 by E and α (12 points) Figure 3.1 Explanation (6 points): Set of equations: (3 points) Final result: i= (3 points) u0 = Problem 4: Use KVL, KCL to find out U0, Ix (12 points) Figure 4.1 Explanation (6 points): Set of equations: (3 points) Final result: Ix = (3 points) U0 = Problem 5: (8 points) a Find Eth and Rth so that Circuit A equivalent to Circuit B b Find I from circuit B Figure 5.1 Explanation (5 points): Result: Rth = (3 points) Eth = I= Problem 6: (10 points) Find the values (Ia and Ra) for the Norton equivalent for the circuit below Figure 6.1 Explanation (7 points): Result: (3 points) Ra = Ia =