5 - ECE Fundamental Resistive Networks and Equivalent Models

5 - ECE Fundamental Resistive Networks and Equivalent...

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ELEC300V – Fundamental of lectro obotics Electro-Robotics Fall 2008 Lecture 5 CE fundamental ECE fundamental Resistive Networks and Equivalent Models
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omplex Circuit Complex Circuit Complex circuits will have different ways to connect different components together o analysis the behavior of the circuits we need to have To analysis the behavior of the circuits, we need to have systematic way to reduce the complexity of the circuit •E quivalent model – a simplified model that has the same behavior/functionality of the original one – Equivalent circuit – a simplified model of any network with just o terminals containing voltage sources current sources and two terminals containing voltage sources, current sources and resistors • Tools for analyzing circuits and creating equivalent circuit – Ohm’s Law KCL/HVL
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Equivalent circuit – resistors network only • Equivalent resistances esistance in series Resistance in series total V V V 2 1 R 1 R 2 I ++ -- R eq I +- eq IR IR IR 2 1 V 1 V 2 2 1 R R R eq R In general n eq R R R R 2 1 1 R 2 R n In general: Note than R eq is larger than any of R n and hence connecting the resistances in series results in a higher resistance Voltage divider using resistance in series R V V IR V V 1 1 1 R 1 V R V V R V n m i j j im n n i j j i 1 1 + - V R 1 R 2 I V 1 V R R R V R R R V R R 2 1 2 2 1 1 1 2 1 ) 1 ( + - V R 2 I V 1 V 2 V R R R R R V g e R R n n i j j j j ...
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5 - ECE Fundamental Resistive Networks and Equivalent...

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