Homework 9Due: Wednesday, September 141(a) For the circuit of Figure 1, R1= 3 kΩ, R2= 15 kΩ, R3= 12 kΩ, Is= 100 mAand gm= 1.2 mS. Find I1and Vxby writing two equations in the two unknowns I1and Vx. The first equation is the usual loop equation and the second determines therelationship of I1and 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.Sunday, September 11, 2011Figure 1: Model circuits for Problem 1.12The circuit of Figure 2(a),(b) represents two non-ideal batteries Vs1= 7 V andVs2= 8 V with internal resistances R1= 10 Ω and R2= 40 Ω (faulty connection)respectively connected in parallel to supply power to a load of R3= 40 Ω. The panels(a) and (b) of Figure 2 correspond to the same circuit redrawn with different loopcurrents. The point of this problem is to verify that different sets of independentloop equations produce the same element currents and branch voltages.(a) Write the loops equations and find I1and I2for the circuit of Figure 2(a), andthen find the voltage across and the power consumed by R3.(b) Write the new loop equations and find I1and I2for the circuit of Figure 2(b),and then find the voltage across and the power consumed by R3.Sunday, September 11, 2011Figure 2: Model circuit for Problem 2.3The mesh equations for the circuit of Figure 3 are20 −40 −5−15 65 −25−5 −25 35i1i2i3=v1−v20(1)Find R1, R2, R3, R4, and rm.2Sunday, September 11, 2011Figure 3: Model circuit for Problem
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