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

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

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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)

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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)1 + + - - v(t)2v(t)2 v(t)3v(t)3

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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

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

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Lecture 27 Class Example Extension Exercise E8.12

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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.

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Lecture 29 Class Example Extension Exercise E8.13

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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.

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Lecture 211 Class Example Extension Exercise E8.14

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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

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