Lecture 21 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001

Lecture 22 Circuit Analysis Techniques While Obeying Passive Sign Convention Ohm’s Law; KCL; KVL Voltage and Current Division Series/Parallel Impedance combinations

Lecture 23 Kirchoff’s Current Law (KCL) The sum of currents entering the node is zero: Analogy: mass flow at pipe junction i 1 (t) i 2 (t)i 4 (t) i 5 (t) i 3 (t)

Lecture 24 Kirchoff’s Voltage Law (KVL) The sum of voltages around a loop is zero: Analogy: pressure drop thru pipe loop + - v(t)1v(t) v(t)2v(t)2 v(t)3v(t)3

Lecture 25 In General: Voltage Division Consider N impedances in series: Source voltage(s) are divided between the resistors in direct proportion to their resistances

Lecture 26 In General: Current Division Consider N impedances in parallel: Special Case (2 resistors in parallel)

Lecture 27 Class Example Extension Exercise E8.12

Lecture 28 Steps of Nodal Analysis 1.Choose a reference node. 2.Assign node voltages to the other nodes. 3.Apply KCL to each node other than the reference node; express currents in terms of node voltages. 4.Solve the resulting system of linear equations.

Lecture 29 Class Example Extension Exercise E8.13

Lecture 210 Steps of Mesh/Loop Analysis 1.Identify mesh (loops). 2.Assign a current to each mesh. 3.Apply KVL around each loop to get an equation in terms of the loop currents. 4.Solve the resulting system of linear equations.

Lecture 211 Class Example Extension Exercise E8.14

Lecture 212 Nodal and Loop Analyses Nodal Analysis Recipe 1&2) Identify and label N nodal voltages plus the ground node (V=0) 3) Apply KCL at N nodes (supernode makes constraint eq.) 4) Solve for the nodal voltages Loop Analysis Recipe 1&2) Identify and label N mesh currents 3) Apply KVL at the N meshes 4) Solve for the mesh currents