Week 4: Methods of Analysis | Nodal Analysis
Having understood the fundamental laws of circuit theory (Ohm’s law and Kirchhoff’s laws), we are now prepared to apply these two laws to develop two powerful techniques for circuit analysis: nodal analysis, which is based on a systematic application of Kirchhoff’s current law (KCL), and mesh analysis, which is based on a systematic application of Kirchhoff’s voltage law (KVL).
With the two techniques to be developed, we can analyze any linear circuit by obtaining a set of simultaneous equations that are then solved to obtain the required values of current or voltage. One method of solving simultaneous equations involves Cramer’s rule, which allows us to calculate circuit variables as a quotient of determinants.
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