Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Electronic Circuits Spring 2000 Homework 1 Issued 2 2 2000 Due 2 9 2000 Exercise 1 1 For both networks shown below find the voltage across and the current through each 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 conserved in total over the network V R1 R2 R1 I R2 R3 R3 Exercise 1 2 Beginning with 1 resistors synthesize a resistor of 3 5 and a resistor of 5 3 Use no more than four 1 resistors in each case Problem 1 1 Each network shown below has several of its branch voltages or currents numerically specified Several other branch voltages or currents are labeled as unknowns Find the unknown voltages and currents v2 2V 2V 1A 1V v1 i1 4V v1 2A v2 i2 i1 1V 2V 2A v3 2A i3 1A Find the equivalent resistance of the following networks as viewed from their Problem 1 2 ports 3 R 2 R 2R R 2R 3 R 2 R R R R R R 2R 3 R 2 R R 2R 3 R 2 3 R 2 2R 3 R 2 2R R R R R Problem 1 3 Using the node method analyze the network below and find all node voltages and then all branch currents Note the definition of the reference node 3R I R R R 3R Problem 1 4 The following network has two ports and three resistors The resistor values R1 R2 and R3 are unknown Network Port 1 R2 R1 R3 Port 2 Using the results of the following two experiments performed on the network find the values of the three resistors R1 R2 and R3 2V 1 Network 2 1A 3A 11V 1 Network 2 2A
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