EE203-SUNYBuffalo-07-Chapter09-05

EE203-SUNYBuffalo-07-Chapter09-05 - SMALL for Big Things...

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Unformatted text preview: SMALL for Big Things University at Buffalo SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Nanobio Sensors & MicroActuators Learning Lab The State University of New York Source Transformation in the Frequency Domain EE 203 Circuit Analysis 2 Lecture 07 Chapter 9.7 Source Transformations and Thevenin-Norton Equivalent Circuits Kwang W. Oh, Ph.D., Assistant Professor SMALL (Nanobio Sensors & MicroActuators Learning Lab) Department of Electrical Engineering University at Buffalo, The State University of New York 215E Bonner Hall, SUNY-Buffalo, Buffalo, NY 14260-1920 Tel: (716) 645-3115 Ext. 1149, Fax: (716) 645-3656 kwangoh@buffalo.edu, http://www.SMALL.Buffalo.edu EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 1/11 EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 2/11 SMALL for Big Things University at Buffalo SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Nanobio Sensors & MicroActuators Learning Lab The State University of New York Example 9.9 Example 9.9 Or use “voltage division” V0 = EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 3/11 Z0 (10 − j19) (36 − j12) = 36.12 − j18.84 V V= ZTotal (12 − j16) EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 4/11 SMALL for Big Things University at Buffalo SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Nanobio Sensors & MicroActuators Learning Lab The State University of New York Example 9.10 - 1 Example 9.10 - 2 KCL: Is1 = Vs1 120 = = 10 A Z s1 12 10 12 60 = 12 × 60 = 10 Ω 12 + 60 Vs2 = Is2 Z s2 = 10 × 10 = 100 V EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 5/11 EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 6/11 SMALL for Big Things University at Buffalo SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Nanobio Sensors & MicroActuators Learning Lab The State University of New York Example 9.10 - 4 Example 9.10 - 3 12 60 = Recall Chapter 4 Step 1: Deactivate all independent sources 12 × 60 = 10 Ω 12 + 60 A voltage source is deactivated by replacing it with a short circuit A current source is deactivated by replacing it with an open circuit All dependent sources are remained as they are, and then apply either a test voltage source or a test current source to the Thevenin terminal a, b. Step 2: Calculate the resistance seen looking into the network at the designated terminal pair Thevenin resistance equals to the ratio of the voltage voltage across the test source to the current delivered by the test source. EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 7/11 EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 8/11 SMALL for Big Things University at Buffalo SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Nanobio Sensors & MicroActuators Learning Lab The State University of New York Recall: Ch 4. Node-Voltage Method EE 203 Circuit Analysis 2 Lecture 07 Chapter 9.8 Node-Voltage Method Kwang W. Oh, Ph.D., Assistant Professor SMALL (Nanobio Sensors & MicroActuators Learning Lab) Department of Electrical Engineering University at Buffalo, The State University of New York 215E Bonner Hall, SUNY-Buffalo, Buffalo, NY 14260-1920 Tel: (716) 645-3115 Ext. 1149, Fax: (716) 645-3656 kwangoh@buffalo.edu, http://www.SMALL.Buffalo.edu EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 9/11 SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Example 9.11 Node 1: KCL Node 2:KCL Ix: EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 07 | Chapter 09 | 5/7 | 11/11 Step 1: Determine the number of nodes (Nodes 1, 2, and ▼) 3 (2 equations) i1 i3 i2 i4 Step 2: Select one node as a reference (Node ▼). Assign voltage designations to each unknown node (Node ▼: Ground, Node 1: v1 and Node 2: v2). 2 unknowns at Node 1 and 2 equations need 2 Step 3: Assign currents into and out of each node except the reference node node Step 4: Apply KCL at each node where currents are assigned Step Step 5: Express the current equations in terms of the voltages and solve for the unknown voltages using Ohm’s law Step 6: Solve the equations EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Node 1: -i1 + i2 + i3 = 0 Node 2: -i3 + i4 – 2 = 0 Lecture 07 | Chapter 09 | 5/7 | 10/11 ...
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This note was uploaded on 10/19/2011 for the course EE 203 taught by Professor Staff during the Spring '08 term at SUNY Buffalo.

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