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# lesson03 - Lesson 3 Kirchhoffs Laws(Sections 2-2 and...

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Lesson 3 – Kirchhoff’s Laws (Sections 2-2 and 2-3) (CLO 2-2) There is a lot to cover in this lesson: Kirchhoff’s Laws, Combining Element and Connection constraints, assigning reference marks and solving circuits using the combined constraints – a huge effort resulting in 2N equations in 2N unknowns where N is the number of elements in the circuit. Connection Constraints Start this lecture by reminding them that Circuits consists of the study of two sets of constraints – element and connection – both of which must be satisfied. Last lecture we discussed some element constraints ( R , V and I , open, shorts and switches). The next topic is on connection constraints. These constraints do not care what is connected to what but rather how those things are connected. These constraints were developed by Gustav Kirchhoff (two h ’s and two f ’s). They are based on conservation laws: a. Kirchhoff’s Current Law (KCL) is based on the conservation of charge. Point out that this law can be defined in one of several ways all being ultimately the same: The sum of currents entering a node is equal to zero. The sum of the currents leaving a node is equal to zero. The sum of the currents entering a node is equal to the sum leaving that node. Most texts use the first definition. The second definition is useful for node voltage analysis when

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lesson03 - Lesson 3 Kirchhoffs Laws(Sections 2-2 and...

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