Unit 1.5 KCL and KVL_edited

Unit 1.5 KCL and KVL_edited - Kirchhoff's Voltage and...

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1 1 Unit 1: Basic Circuit Theory Unit 1.5 - Kirchhoff’s Voltage and Current Laws 2 Kirchhoff’s Voltage and Current Laws f In this lecture, you will learn about: ± The interconnection of circuit elements into electrical circuits. ± The basic terminology that allows us to talk about circuits. ± The fundamental laws of physics as they apply to circuit analysis. • Conservation of mass • Conservation of energy 3 Electrical Schematic: Lights 4 Final Circuit f How do I determine actual values of current, voltage, and power? f Kirchhoff’s Laws are the basis for the tools we need to perform circuit analysis 5 Circuit Terminology f The Ideal Basic Circuit Element ± It has only two terminals. ± It is described mathematically in terms of current and voltage at its terminals. ± It cannot be subdivided into other circuit elements. + i v 1 2 - 6 Circuit Terminology f Branch: any portion of a circuit with two terminals connected to it. A branch may consist of one or more circuit elements * . * This definition differs from that of your book. This is a more general definition.
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2 7 Circuit Terminology f Node: the point of connection between two or more branches f Nodes connected via a wire (short circuit) constitute a single node The interconnections between elements are ideal (no resistance). 8 Circuit Terminology f Node: the point of connection between two or more branches This is one node! 9 Circuit Terminology f Path: route through connected elements such that it passes through a node only once f Loop: A closed path; a path that begins and ends at the same node. 10 Circuit Terminology f Path: route through connected elements such that it passes through a node only once f Loop: A closed path; a path that begins and ends at the same node. Is this a loop? 11 Kirchhoff’s Current Law 12 Gustav Robert Kirchhoff f Gustav Robert Kirchhoff (1824-87) was a Prussian physicist who published his circuit laws in 1845 while still a student. He also established the correct relationship between current and electrostatics. f He later made fundamental contributions to the study of black body radiation and spectral analysis of solar radiation.
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3 13 Kirchhoff’s Current Law (KCL) f An informal statement of KCL: ± All of the current that enters a node must leave the node instantaneously.
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This note was uploaded on 08/27/2009 for the course EE 16200 taught by Professor Williamneal during the Fall '08 term at University of Texas.

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Unit 1.5 KCL and KVL_edited - Kirchhoff's Voltage and...

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