1. A network that is implemented with three resistors and a voltage source as shown below. Its terminal characteristics are also given graphically below. (3 x 4 = 12 points)
(a) From the graphical data given above, determine numerical values for the parameters of the Thevenin equivalent of the network.
(b) Determine numerical values for the parameters VS and R that characterize the implementation of the network shown above.
(c) The network is connected to an external current source and resistor as shown below. Determine the value of its terminal voltage v given the external connection.
2. Determine the current i in the network below. (8 points)
3. Find the equivalent resistance between terminals a and b in Figure below ( 5 points)
4. The equivalent resistance between terminals a and b in Figure below is 23 ohms. Determine the value of R. (5 points)
5. Given R1=15 Ω, R2=5 Ω, R3=20 Ω, R4=10 Ω, R5=8 Ω, R6=4 Ω and Is=5 A, solve for the node voltages shown in Figure. (10 points)
6. Starting from the Norton equivalent circuit (current source In in parallel with Rt) with a resistive load attached (RL), find an expression for the power delivered to the load in terms of In, Rt and RL. Assuming that In, Rt are fixed values and that RL is variable, show that maximum power is delivered for RL = Rt. Find an expression for maximum power delivered to the load in terms of and In, Rt. (10 points)
7. A 100 capacitance is initially charged to 1000 V. At t=0 it is connected to a 1-kΩ resistance. At what time t2 has 50 percent of the initial energy stored in the capacitance been dissipated in the resistance? (10 points)
8. Derive an expression for vc(t) in the circuit below and sketch vc(t) to scale versus time. (Note that switch was closed before t=0 and becomes an open after t=0) (15 points)
9. Determine the maximum value of IL (10 points)
10. The circuit shown in Figure has been set up for a long time prior to t=0 with the switch closed. Find the value of vC prior to t=0. Find the steady-state value of vC after the switch has been opened for a long time. (15 points)
