15 Kirchoff's Laws

# An important property of circuit elements connected

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Unformatted text preview: 12 In the above topologies the resistors R1 , R2 and R3 are connected in series. An important property of circuit elements connected in series is that the same current goes through all of them. Parallel connection of two‐terminal lumped elements = = all of the top terminals are wired together and all of the bottom terminals are wired together. e.g. In the above topologies the resistors R1 , R2 , R3 are connected in parallel. An important property of circuit elements connected in parallel is that they all have the same voltage drop. Node = = the connection point of one or more circuit elements e.g. 15.13 Branch = = a generic term that describes a two‐terminal element. It is drawn as a line segment in place of the circuit element it describes. e.g. This diagram of branches represents the connection of circuit elements to the left. Closed path = = a connection of two‐terminal circuit elements that ends and begins at the same node. e.g. are all closed paths. After this we are ready to state Kirchhoff’s laws: The A B E F A A B C D E F A A B C E F A E B C D E E B C E B 15.14 • Kirchhoff’s Current Law (KCL) The total current that enters a node equals the total current that leaves the node at every time t e.g. i1 i4 i5 i2 i3 There are many other ways to state the same thing (most of them are more complex). E.g. (Alternate expression of KCL): The algebraic sum of the currents entering a node is zero at every time t. In this language “algebraic sum” means that all currents entering the node are taken...
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