EECS 210_________________________PROBLEM SET #5________________________Winter 2001

ASSIGNED: February 09, 2001. Read: Chapter 5 of text and Chapter 1 of Additional Course Notes.
DUE DATE: February 16, 2001. In Lab Book: Read material on the Lab Exam, which is THIS WEEK.
    THIS WEEK: Thevenin and Norton equivalents and maximum power transfer.
  1. Text #4.55. EXTRA: See Additional Course Notes, pages 54-55, for more automobile loads.
  2. Text #4.58. 1 node equation in 1 unknown for each of VOC and ISC. Note (b) is a check on (a).
  3. Text #4.62. HINT: Simplify the leftmost 3 elements and do a Thevenin-to-Norton xform.
  4. Text #4.69. Apply a 1V voltage source and compute current (1 node equation in 1 unknown).
  5. Text #4.71a. The basic idea behind maximum power transfer--what it is and what it isn't.
    Now redo this problem with the 6 Ohm resistor and variable Ro exchanged (Ro is now the load).
  6. For #4.62, what load resistance connected to terminals a-b dissipates the most power?
    1. Why bother with Thevenin equivalents? Try this problem with a nonlinear device:
      We wish to compute the voltage and current for the 96-watt light, which is NOT a resistor!
    2. Compute the Thevenin equivalent of the circuit connected to ("seen by") the light.
    3. Use KVL to obtain a quadratic equation for the current through the light (or its voltage).
    4. Compute the voltage and current for the light. Note there are two correct answers!
      HINT: Regard the 96-watt light as having the nonlinear i-v characteristic i=96/V.

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