EECS 210_________________________PROBLEM SET #7________________________Winter 2001

ASSIGNED: March 2, 2001. Read: Sects. 9.1-9.5 (skip Chaps. 7 & 8) and Appendix B of the text.
DUE DATE: March 9, 2001. In Lab Book: Read Unit #4, Lab Lecture #4 and Lab Experiment #4.
    THIS WEEK: Inductors and capacitors and complex numbers.
  1. Text #6.4. Just apply the integral counterpart to v=L(di/dt), but watch units! Use Matlab for (b).
    Note that inductor current must be continuous at t=0.001 and t=0.002 seconds--a useful check.
  2. Text #6.7. Compute numerical values for A1 and A2. Let x=e5000t in (b)
  3. Text #6.19. Requires a nasty derivative; otherwise easy. You should already know answer to (c).
  4. Text #6.21. Combining inductors in series and parallel. All integers after the beginning.
  5. Text #6.26a-e. Careful on (c) and (d)--the initial currents must match the given values.

  6. Show complex number [5(8+j)(8+j6)(5+j12)(5+j10)]/[26(7+j4)(7+j24)(2+j11)] has magnitude=1.
  7. Use trig identity from Problem Set #1 to show 5cos(3t+30°)+5sin(3t)+5cos(3t-210°)=0 exactly!
    Now use phasor representations of the sinusoids to show it. Plot the phasors in the complex plane.
  8. Ungraded: We are given two unmarked boxes, each with a pair of wires sticking out of it.
    One contains the Thevenin equivalent of a circuit; the other contains its Norton equivalent.
    Explain how to distinguish the Thevenin equivalent box from the Norton equivalent box.
    HINT: This cannot be done using i-v characteristics of the two boxes; need something else.
    "An optimist is an accordion player with a beeper"--Ted Koppel.