# Chapter 3 - Chapter 3 Methods of Analysis SJTU 1 So far we...

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SJTU 1 Chapter 3 Methods of Analysis

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SJTU 2 So far, we have analyzed relatively simple circuits by applying Kirchhoff’s laws in combination with Ohm’s law. We can use this approach for all circuits, but as they become structurally more complicated and involve more and more elements, this direct method soon becomes cumbersome. In this chapter we introduce two powerful techniques of circuit analysis: Nodal Analysis and Mesh Analysis . These techniques give us two systematic methods of describing circuits with the minimum number of simultaneous equations. With them we can analyze almost any circuit by to obtain the required values of current or voltage.
SJTU 3 Nodal Analysis Steps to Determine Node Voltages: 1. Select a node as the reference node(ground), define the node voltages S 1 , S 2 ,… S n-1 to the remaining n-1nodes . The voltages are referenced with respect to the reference node. 2. Apply KCL to each of the n-1 independent nodes. Use Ohm’s law to express the branch currents in terms of node voltages. 3. Solve the resulting simultaneous equations to obtain the unknown node voltages.

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SJTU 4 Fig. 3.2 Typical circuit for nodal analysis
5 R v v i lower higher - = So at node 1 and node 2, we can get the following equations. 3

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Chapter 3 - Chapter 3 Methods of Analysis SJTU 1 So far we...

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