Lecture_5 - Methods of Analysis Nodal Analysis Systematic...

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1 BME 311 Network Theory John X.J. Zhang, UT Austin 1 Methods of Analysis • Nodal Analysis – Systematic application of KCL • Mesh analysis – Systematic application of KVL We can analyze any linear circuit by obtaining a set of simultaneous equations that are then solved to obtain I or V - Cramer’s Rule - Matrix inversion - Substitution - Gaussian elimination - Numerical analysis - MATLAB BME 311 Network Theory John X.J. Zhang, UT Austin 2 Cramer’s Rule
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2 BME 311 Network Theory John X.J. Zhang, UT Austin 3 Matrix Inversion Please review Appendix A in the textbook where BME 311 Network Theory John X.J. Zhang, UT Austin 4 Nodal Analysis • Variables: node voltages v i • 3-step Approach – Select reference node, assign voltages to other nodes – Apply KCL (express i i in terms of v i through Ohm’s law) – Solve the simultaneous equations for v i
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3 BME 311 Network Theory John X.J. Zhang, UT Austin 5 Nodal Analysis • Calculate all the node voltages and currents KCL I 1 =I 2 +i
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Lecture_5 - Methods of Analysis Nodal Analysis Systematic...

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