1. Twelve 1 Ω resistors are arranged on the edges of a cube, and terminals a and b are connected to diagonally opposite corners of the cube. The problem is to find the resistance between the terminals. Approach the problem this way: Assume that 1 A of current enters terminal a and exits through terminal b. Then, the voltage between terminals a and b is equal to the unknown resistance. By symmetry considerations, we can find the current in each resistor. Then, using KVL, we can find the voltage between a and b. (15 points)
2. Find the values of v and i for the circuit below. (15 points)
3. Find the equivalent resistance for the infinite network shown in figure below (10 points)
4. Solve for the node voltages v1 and v2 shown in Figure below (20 points)
5. The following network has two ports and three resistors. The resistor values R1, R2 and R3 are unknown. (20 points)
Using the results of the following two experiments performed on the network, find the unknown values of the three resistors.
6. The voltage across a 2-H inductance is shown in Figure below. The initial current in the inductance is iL(0)=0. Sketch the current, power, and stored energy to scale versus time. (20 points)
