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. 3.3, 3.5-3.6. Exercise 2.1: Determine the resistance of each network shown below as viewed from its p ort. R1 R1 R2 R2 R3 R3R2 R3 R1 R2 R3R1 Network (A) 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.) R2 R3 R1 R2 R3 + -V I R1 Network (A) 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 thr ee unknown node voltages. Express these equations in the form ⎡ ⎤ e1 ⎢ ⎥G ⎣ e2 ⎦ = S, ( ) e3 where G is a 3x3 matrix of conductance terms and S is a 3x vector of terms involving the sources. You need not solve the s et of equations for the node voltages. 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].1111e2 R2 I R4 R5 R3 R6 e3 e1 V -+ R1 Exercise 2.4: Determine the power consumed by the 5Ω resistor in the network shown below. (Hint: use the series/parallel simplification method shown in Section 2.4 of the course notes.) -+10V 4Ω 5Ω 15Ω 5Ω 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: u se superposition for Network B.) iR2 iR2 + vR1 -V -+ R1 V -+Iv + -Network (A) Network (B) Problem 2.2: Problem 3.9 from Chapter 3 of A&L (page 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].11Problem 2.3: Two networks , N 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 N and N2. (B) Find the voltages v1 and v2 that result from the interconnection of N and N2. i2 + v2 − Ri1 + v1 − N 1 N 2 v1 I1 v2 V2 i1 −I2 i2 −V1 (a) Network 1 (N1) (b) Network 2 (N2) 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
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