MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6 002 Electronic Circuits Fall 2002 Quiz 1 Name Recitation Section Recitation Instructor Teaching Assistant Enter all your work and your answers directly in the spaces provided on the printed pages Make sure that your name is on all sheets Use the backs of the printed pages as scratch paper but we will only grade the work that you neatly transfer to the spaces on the printed pages Answers must be derived or explained not just simply written down The quiz is closed book but calculators are allowed This quiz contains 9 pages including the cover sheet Make sure that your quiz contains all 9 pages and that you hand in all 9 pages Problem Points Grade Grader 1 30 2 40 3 30 Total 100 Name Problem 1 Figure 1 2 30 points For parts A C use the associated branch variables as de ned in Figure 1 Circuit for Problem 1 A 1 B and 1 C A Write element laws for the resistor R1 the current source IA and the voltage source VB B Write a complete set of independent KVL equations expressed only in terms of the branch voltages v1 v2 and v8 C Write a complete set of independent KCL equations expressed only in terms of the branch currents i1 i2 and i8 Name 3 D The same circuit is shown in Figure 2 labeled for node analysis Write out the node equations necessary to solve for the three unknown node voltages e1 e2 and e3 DO NOT SOLVE these equations Figure 2 Circuit for Problem 1 D Name 4 E The current i1 in Figure 3 can be written in the form i1 aVA bVB cIA dIB Determine the coe cients a b c and d in terms of the resistor variables in the circuit Figure 3 Circuit for Problem 1 E a b c d Name 5 Problem 2 40 points Network 1 shown in Figure 4 is described by its v i relationship measured at the terminals Network 2 shown in Figure 5 is described by a schematic diagram of its components A Find the The venin and Norton equivalent circuits that have the same v i relationship as Network 1 Figure 4 Network for Problem 2 A Name 6 B Find the The venin and Norton equivalent circuits that have the same v i relationship as Network 2 Figure 5 Network for Problem 2 B Name 7 C Suppose that the two networks are connected together through a resistor as shown in Figure 6 Find the current i1 and the voltage v1 Figure 6 Network for Problem 2 C i1 v1 Name 8 D Suppose that the two networks are connected together through a resistor as shown in Figure 7 Find the current i2 and the voltage v2 Figure 7 Network for Problem 2 D i2 v2 Name 9 Problem 3 30 points Determine all node potentials in the network shown in Figure 8 in terms of the conductances of the resistors GA GB GC GD GE and GF the current sources IC and IF and the voltage sources VA VB VD and VE Figure 8 Circuit for Problem 3 e1 e2 e3 e4 e5
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