Homework 9 Due Wednesday September 14 1 a For the circuit of Figure 1 R1 3 k R2 15 k R3 12 k Is 100 mA and gm 1 2 mS Find I1 and Vx by writing two equations in the two unknowns I1 and Vx The first equation is the usual loop equation and the second determines the relationship of I1 and Vx b Given your answer to a find the equivalent resistance Req seen by the independent source c Find the power delivered by the dependent source Figure 1 Model circuits for Problem 1 1 ember 11 2011 2 The circuit of Figure 2 a b represents two non ideal batteries Vs1 7 V and Vs2 8 V with internal resistances R1 10 and R2 40 faulty connection respectively connected in parallel to supply power to a load of R3 40 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 I1 and I2 for the circuit of Figure 2 a and then find the voltage across and the power consumed by R3 b Write the new loop equations and find I1 and I2 for the circuit of Figure 2 b and then find the voltage across and the power consumed by R3 Figure 2 Model circuit for Problem 2 3 The mesh equations for the 20 15 5 circuit of Figure 3 are 40 5 i1 v1 65 25 i2 v2 25 35 i3 0 Find R1 R2 R3 R4 and rm 2 1 Figure 3 Model circuit for Problem 3 nday September 11 2011 3
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