lect8.pdf

# Ee201 lecture 8 p 6 are solutions the same look at

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EE201 Lecture 8 P. 6 Are solutions the same? Look at voltage drop across circuit elements. Good choice: V D = 14/9; V A = 23/7 Bad: V B = 217/63; V A = 109/63 But what is drop across 0.2 W resistor? Good choice: V 5 mho = V A - V B = 23/7 - 5 = -12/7 V Bad: V 5 mho = V A - V B = 109/63 - 217/63 = -12/7 V Node voltages are different because the reference nodes are different. It is the voltage difference between nodes that is physical and must be the same regardless of choice of ground.

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EE201 Lecture 8 P. 7 Loop (Mesh) Analysis A circuit analysis technique based on KVL, Ohm’s law, and the existence of circulation currents. R i A -i B i A i B Consider the circuit below. Terminology There are 3 loops and 2 meshes in this circuit. A loop is any closed path around a circuit, but passing through a node only once. A mesh is a loop which contains no other loops.
EE201 Lecture 8 P. 8 i 1 i 2 Mesh currents can be defined within the circuit, as shown below. Basis of Mesh Analysis: Write KVL equations for each mesh, then solve the coupled simultaneous equations. KVL1: V 1 - R 1 i 1 - R 3 (i 1 -i 2 ) = 0 KVL2: -V 2 - R 3 (i 2 -i 1 ) - R 2 i 2 = 0 Once equations are solved for i 1 and i 2 , the behavior of the circuit is known. R 1 R 2 _ _ + + V 1 V 2 R 3

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EE201 Lecture 8 P. 9 Closer inspection of KVL application: choice of sign convention/mesh current direction.
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• Fall '08
• ALL
• Mesh Analysis, Voltage drop, EE201

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