EEE 302 Electrical Networks II. Dr. Keith E. Holbert Summer 2001. Circuit Analysis Techniques. While Obeying Passive Sign Convention Ohm’s Law; KCL; KVL Voltage and Current Division Series/Parallel Impedance combinations. Kirchoff’s Current Law ( KCL ). i 1 (t). i 5 (t).
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Lecture 2
i1(t)
i5(t)
The sum of currents entering the node is zero:
Analogy: mass flow at pipe junction
i2(t)
i4(t)
i3(t)
Lecture 2

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


Kirchoff’s Voltage Law (KVL)Lecture 2
Consider N impedances in series:
Source voltage(s) are divided between the resistors in direct proportion to their resistances
Lecture 2
Consider N impedances in parallel:
Special Case (2 resistors in parallel)
Lecture 2
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 2
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 2
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
Nodal and Loop AnalysesLecture 2