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03-Circuit Analysis Nodal 1

# 03-Circuit Analysis Nodal 1 - Circuit Analysis Introduction...

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1 Circuit Analysis Introduction: Nodal Analysis I © Fred Terry Fall, 2008

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2 Introduction • Objective: – Given a linear circuit, find all the voltage drops or find all the current flows (note that since one can be found from the other, this is everything ) Nodal and Mesh Analysis Provide Straight-Forward, Systematic Ways of Doing This by Generating n-equations with n-unknowns (where n is either node voltages or mesh currents, which we will now define and examine) • Both are efficient, systematic methods to combine Element & Connection constraints • Nodal Analysis is more general than Mesh Analysis. It will handle Any Linear Circuit and is the Standard Method Used in Circuit Simulators (such as Spice). • We will not bother with Mesh Analysis this semester
3 Nodal Analysis • Define one node of the circuit as the reference node or Ground. Consider this voltage as zero. Call it node 0. • Label the non-ground nodes 1 to n-1 (for an n-node circuit). We will calculate the Node Voltages (the potential differences between each of these nodes and ground. • Use KCL and Ohm’s Law to write KCL equations at each of the n-1 non-reference nodes. This generates the n-1 simultaneous equations for the n-1 node voltages • Solve the simultaneous KCL/Nodal Equations for V 1 to V n-1 , the node voltages • Let’s look at a simple example

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03-Circuit Analysis Nodal 1 - Circuit Analysis Introduction...

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