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Chapter 3 - Node Voltage Analysis

Chapter 3 - Node Voltage Analysis - reference node Assign...

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Node Voltage Analysis Chapter 3 – Part 1

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Learning Objectives Why is there a need for more powerful techniques to solve circuits. What is the node voltage method. How do we apply it.
Why do you need a technique  like nodal analysis?   Reduces the number of equations to solve simultaneously.

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Review of basic definitions 1. How many nodes are there in this  circuit? 2. How many essential nodes are there in  this circuit? R3 1 A 2 A R1 R2 R4 R5 2 V + -

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Node Voltage We can define the value of a  voltage at a node if we have a point  of reference. 20 V 10 k 10 k

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Nodal Analysis 1. Select a

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Unformatted text preview: reference node . Assign voltages v 1 , v 2 , ….v n to the remaining n-1 essential nodes. 2. Apply KCL to each essential node. 3. Solve the resulting simultaneous equations to obtain unknown node voltages. What do we do when we have a voltage source between 2 essential nodes? Solving simultaneous equations using Cramer’s rule 1. Write the simultaneous equation in matrix form. 2. Use Cramer’s rule to solve. 3v 1 – 2v 2 – v 3 = 12-4v 1 + 7v 2 –v 3 = 0 2v 1 – 3v 2 + v 3 = 0...
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