Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.002 - Electronic CircuitsSpring 2000Homework #1Issued 2/2/2000 - Due 2/9/2000Exercise 1-1: For both networks shown below, find the voltage across and the current througheach element in the network. Be sure to make the polarity of the voltages and currents clear. Also,find the power generated or dissipated by each network element, and show that energy is conservedin total over the network.Exercise 1-2: Beginning with 1Ω resistors, synthesize a resistor of 3/5Ω and a resistor of 5/3Ω.Use no more than four 1Ω resistors in each case.Problem 1-1: Each network shown below has several of its branch voltages or currentsnumerically specified. Several other branch voltages or currents are labeled as unknowns. Find theunknown voltages and currents.+-R1R2R1R3IR2R3V2Vv22Vv11V+-+-+-+-+-1A-2Ai1v2+-4V+-v1-+1V+-2V+-v3+-2Ai2i11Ai32AProblem 1-2: Find the equivalent resistance of the following networks as viewed from theirports.Problem 1-3: Using the node method, analyze the network below and find all node voltagesand then all branch currents. Note the definition of the reference node.Problem 1-4: The following network has two ports and three resistors. The resistor values R1,R2 and R3 are unknown.Using the results of the following two experiments performed on the network, find the values of thethree resistors R1, R2 and R3.2R32---R2R32---R2R32---R2R32---R2R32---R2RR RR RRRRRRRRRRR32---R3RR3RRRIR3Port #2Port #1NetworkR1R2Network#1#2Network#1#2
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