Fall 2007
ENSC 895/ENSC 460: SPECIAL TOPICS: THEORY, ANALYSIS, AND SIMULATION OF NONLINEAR CIRCUITS

Assignment #4:

  • Prepare for Quiz #1.

  • Read again section IV, C "Solution of R Equations" (pp. 25, 26, and 27) of:
    A. N. Willson, Jr., ``Some aspects of the theory of nonlinear networks,'' Proc. IEEE, vol. 61, pp. 1092-1113, Aug. 1973.

  • For each of the two linear resistive three-ports given in the handout:
        (a) Does the three-port possess a short-circuit conductance matrix characterization?
        (b) Does the three-port possess an open-circuit resistance matrix characterization?
        (c) Find a (any) hybrid-matrix characterization.

  • Write an equation of the form: F(v) + Av = b, where F(v) = (f1(v1) f2(v2))^tr for the circuits consisting of two nonlinear resistors, three linear resistors (1 Ohm each), and an independent voltage source (1 V) given in the handout. Assume that the nonlinear functions f1 and f2 are such that their derivatives are nonnegative for any v1 and v2. Does this equation have a unique solution? Explain why.

  • Consider the two circuits that will be analyzed in Lecture #4. Determine whether or not each of these circuits possesses a unique solution for all values of the independent sources E and I. (See page 2 and page 5 of the handout: Lecture #4.)

  • If you have not already done so: Prepare the title and the short description of the proposed final project. Include five references related to the proposed topic.

    Posted: September 27, 2007.
    Due: October 11, 2007 (revised from October 4, 2007).

    Last modified: Saturday September 29 00:35:32 PDT 2007.