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Homework 9
Due: Wednesday, September 14
(a) For the circuit of Figure 1, R 1 = 3 kΩ, R 2 = 15 kΩ, R 3 = 12 kΩ, Is = 100 mA and gm = 1.2 mS. Find I 1 and Vx by writing two equations in the two unknowns I 1 and Vx. The first equation is the usual loop equation and the second determines the relationship of I 1 and Vx.
(b) Given your answer to (a), find the equivalent resistance, Req, seen by the inde- pendent source.
(c) Find the power delivered by the dependent source.
Figure 1: Model circuits for Problem 1.
The circuit of Figure 2(a),(b) represents two non-ideal batteries Vs 1 = 7 V and Vs 2 = 8 V with internal resistances R 1 = 10 Ω and R 2 = 40 Ω (faulty connection) respectively connected in parallel to supply power to a load of R 3 = 40 Ω. The panels (a) and (b) of Figure 2 correspond to the same circuit redrawn with different loop currents. The point of this problem is to verify that different sets of independent loop equations produce the same element currents and branch voltages.
(a) Write the loops equations and find I 1 and I 2 for the circuit of Figure 2(a), and then find the voltage across and the power consumed by R 3.
(b) Write the new loop equations and find I 1 and I 2 for the circuit of Figure 2(a), and then find the voltage across and the power consumed by R 3.
mber 11, 2011
Figure 2: Model circuit for Problem 2.
3
The mesh equations for the circuit of Figure 3 are
i 1 i 2 i 3
v 1 −v 2 0
Find R 1 , R 2 , R 3 , R 4 , and rm.
