ECE 201 Spring 2010 Homework 9 Solutions Problem 37 a The following loop equation can be written I1 0 75 200 300I1 I1 0 1 500 0 I1 0 1 A P VI Ps1 200 0 75 0 1 0 75 97 5 W Ps2 500 0 1 0 1 0 1 10 W b Again writing the loop equation and comparing the equation obtained with that given in the problem I1 0 4 R1 600I1 I1 0 1 R2 0 R1 R2 600 I1 0 4R1 0 1R2 R1 R2 1400 4R1 R2 600 R1 400 R2 1000 1 Problem 42 a The following loop equations can be written 21 20I1 80 I1 I2 0 24 80I2 80 I1 I2 0 I1 0 15 A I2 0 075 A VR3 I1 I2 R3 0 225 80 18 V PR3 18 0 225 4 05 W b Again writing the loop equations 21 I1 I2 20 80I2 24 0 21 I1 I2 20 80I1 0 I1 0 225 A I2 0 075 A VR3 I1 R3 0 225 80 18 V PR3 18 0 225 4 05 W Problem 52 a Assume clockwise loop currents I1 and I2 in the two rightmost loops respectively The following equations can then be written for the two loops I1 Is1 R1 rm Ix R2 I1 I2 0 Ix Is1 I1 R2 I2 I1 R3 I2 Vs2 0 2 Putting in matrix form rm R1 R2 R2 I1 R2 R2 R3 I2 rm R1 Is1 Vs2 b Putting the respective literal values 80 40 40 120 I1 40 I2 40 I1 0 4 A I2 0 2 A c VA 1 0 4 100 60 V VB 0 6 40 24 V d Ps1 60 1 60 W Ps2 40 0 2 8 W e Pdep 60 0 6 0 4 14 4 W 3
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