Chapter3 Nodal (1)

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  CHAPTER 3 CHAPTER 3 Methods of AnalysisMethods of Analysis Nodal Analysis -Suitable for the circuits which do not contain voltage sources.-Finding the node voltages  Steps to determine node voltages: 1.Select a node as the reference node, ground. Assign voltages v 1 , v 2 , …., v n-1 to the remaining n-1 nodes. The voltages are referenced with respect to the reference node.2.Apply KCL to each of the n-1 non-reference nodes. Use Ohm’s law to express the branch currents in terms of node voltages3.Solve the resulting simultaneous equations to obtain the unknown node voltages  Note: The reference node is commonly called the ground A reference node is indicated by any of the following three symbols.Once we have selected a reference node, as the second step, KCL is applied to each non-reference node in the circuit.  Node1; I 1 = I 2 + i 1 + i 2 ……………….(1)Node2; I 2 + i 2 = i 3 …………………....(2)Now Ohm’s law is applied to express the unknown currents i 1 ,i 2 and i 3 . The key idea is that current must flow from a higher potential to a lower potential
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