Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.002 - Electronic CircuitsFall 2005Homework #2Handout F05-015Issued 9/15/2005 - Due 9/23/2005Helpful 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.Exercise 2.2: For both networks shown below, find the voltage across each resistor. Hint: make use of theresults of Exercise 2.1.Exercise 2.3: Following the node method, develop a set of simultaneous equations for the network shownbelow that can be used to solve for the three unknown node voltages in the corresponding network.Express these equations in the formwhere G is a 3 x 3 matrix of conductance terms and S is a 3 x 1 vector of terms involving the sources. Youneed not solve the set of equations for the node voltages.(over)R1R2R3R1R3R2R2R3R1R2R3R1Network (A) Network (B) Network (C) Network (D) R2R3R1R2R3+-VIR1Network (A) Network (B)Ge1e2e3S=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.)Problem 2.1: Find the Thevenin and Norton equivalents of the following networks, and graph their i-vrelations as viewed from their ports. (Hint: Use superposition for Network B)Problem 2.2: Do problem 3.9 in Agarwal & Lang, page 187.e2R2IR4R5R3R6e3e1V-+R1-+10V4Ω5Ω15Ω5ΩR1R2R2V-+R1V-+INetwork (A)Network
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