1. 1 Node-Voltage Analysis Use KCL to write a  i in =  i out equation at each node (except the reference node)

2. 2 Node-Voltage Analysis

3. 3 Mesh-Current Analysis Use KVL to write a  v rises =  v drops equation for each mesh mesh – a closed path that contains no other closed paths

4. 4 Mesh-Current Analysis

5. 5 Let’s Try This One

6. 6

7. 7 Delta-Wye Transformations R1R1 R2R2 R3R3

8. 8

9. 9 Thevenin’s Theorem (Chap. 3) V OC I SC ? V OC R TH +_+_ Thevenin Equivalent R TH I SC Norton Equivalent Extra Tools for your Toolbox

10. Thevenin and Norton Equivalents (Chapter 3, Section 3.6) 10 When “looking into” two ports of a circuit, you cannot tell exactly what components make up that circuit. V th = V open ckt I short ckt I n = I short ckt Thevenin Equivalent Norton Equivalent

11. 11 Thevenin Equivalent

12. 12 Source Transformations V OC I SC = Extra Tools for your Toolbox

13. Source Transformations (Chapter 3, Section 3.6.1.) 13 R shunt = R series = 1 k 1 k 5 mA R series VsVs R shunt IsIs

14. 14 Source Transformations