MASSACHUSETTS INSTITUTE OF TECHNOLOGYDepartment of Electrical Engineering and Computer Science6.002 – Electronic CircuitsFall 2002Quiz 1Name:Recitation Section:Recitation Instructor: Teaching Assistant:Enter all your work and your answers directly in the spaces provided on theprinted pages. Make sure that your name is on all sheets. Use the backs of theprinted pages as scratch paper, but we will only grade the work that you neatly transferto the spaces on the printed pages. Answers must be derived or explained, not just simplywritten 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 all9 pages and that you hand in all 9 pages.Problem Points Grade Grader1 302 403 30Total 100Name: 2Problem 1: (30 points) For parts (A)-(C), use the associated branch variables as defined inFigure 1.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 branchvoltages v1, v2, ..., and v8.(C) Write a complete set of independent KCL equations expressed only in terms of the branchcurrents i1, i2, ..., and i8.Name: 3(D) The same circuit is shown in Figure 2, labeled for node analysis. Write out the node equationsnecessary to solve for the three unknown node voltages e1, e2and e3. DO NOT SOLVEthese equations.Figure 2: Circuit for Problem 1(D)Name: 4(E) The current i1in Figure 3 can be written in the form:i1= aVA+ bVB+ cIA+ dIBDetermine the coefficients 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: 5Problem 2: (40 po ints) Network 1, shown in Figure 4, is described by its v-i relationshipmeasured at the terminals. Network 2, shown in Figure 5, is described by a schematic diagram ofits components.(A) Find the Th´evenin and Norton equivalent circuits that have the same v-i relationship as Net-work 1.Figure 4: Network for Problem 2(A)Name: 6(B) Find the Th´evenin and Norton equivalent circuits that have the same v-i relationship as Net-work 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 i1and 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 i2and the voltage v2.Figure 7: Network for Problem 2(D)i2=v2=Name: 9Problem 3: (30 points) Determine all node potentials in the network shown in Figure 8 in termsof the conductances of the resistors (GA, GB, GC, GD, GE,andGF), the current sources (ICandIF), and the voltage sources (VA, VB, VDand VE).Figure 8: Circuit for Problem
View Full Document
Unlocking...