Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Electronic Circuits Fall 2005 Homework 2 Handout F05 015 Issued 9 15 2005 Due 9 23 2005 Helpful Readings for this Homework Agarwal Lang Chapter 2 4 3 1 3 3 3 5 3 6 Exercise 2 1 Determine the resistance of each network shown below as viewed from its port R1 R2 R1 R2 R1 R3 R2 R3 Network A R1 R2 R3 R3 Network B Network C Network D Exercise 2 2 For both networks shown below find the voltage across each resistor Hint make use of the results of Exercise 2 1 V R1 R2 I R3 R2 R1 Network A R3 Network B Exercise 2 3 Following the node method develop a set of simultaneous equations for the network shown below that can be used to solve for the three unknown node voltages in the corresponding network Express these equations in the form e1 G e2 S e3 where G is a 3 x 3 matrix of conductance terms and S is a 3 x 1 vector of terms involving the sources You need not solve the set of equations for the node voltages over e1 R2 R5 R1 e 2 R4 e 3 R3 R6 V I Exercise 2 4 Determine the power consumed by the 15 ohm resistor in the network shown below Hint Use the series parallel simplification method shown in Section 2 4 of the course notes 4 10V 5 5 15 Problem 2 1 Find the Thevenin and Norton equivalents of the following networks and graph their i v relations as viewed from their ports Hint Use superposition for Network B i R2 v R2 i R1 V v R1 I Network A Problem 2 2 Do problem 3 9 in Agarwal Lang page 187 Network B V
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