Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Circuits Electronics Fall 2007 Homework 2 Handout S07 015 Helpful readings for this homework Chapter 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 nd 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 at the top of the following page that can be used to solve for the three unknown node voltages Express these equations in the form e1 G e2 S e3 1 where G is a 3x3 matrix of conductance terms and S is a 3x 1 vector of terms involving the sources You need not solve the set of equations for the node voltages 1 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY e1 R2 V R5 R1 e 2 R4 e 3 R3 R6 I Exercise 2 4 Determine the power consumed by the 15 resistor in the network shown below Hint use the series parallel simpli cation method shown in Section 2 4 of the course notes 5 4 10V 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 V Network B Network A Problem 2 2 Problem 3 9 from Chapter 3 of A L page 1 87 2 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 2 3 Two networks N 1 and N2 are described graphically in terms of their i v relations and connected together through a single resistor as shown below A Find the Thevenin and Norton equivalents of N1 and N2 B Find the voltages v1 and v2 that result from the interconnection of N1 and N2 R i1 N1 v1 i2 v2 N2 1 v1 v2 V2 I1 i1 I2 i2 V1 b Network 2 N2 a Network 1 N1 3 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY
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