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EXAM 1

  1. (25 points)

    tex2html_wrap345

    In the above figure the op amp is ideal except for the fact that it has a nonzero output impedance of value tex2html_wrap_inline299 This means that we can replace the opamp in the above figure with an equivalent circuit of an ideal op amp and an explicit tex2html_wrap_inline299 resistor. This change is shown below:

    tex2html_wrap347

    Answer all of the following questions expressing your answers in terms of tex2html_wrap_inline303 , tex2html_wrap_inline305 , and tex2html_wrap_inline307 .

    1. (5 points) Compute the gain of this circuit tex2html_wrap_inline309

    2. (5 points) Compute the input resistance of this circuit.
    3. (5 points) Compute the output resistance of this circuit

    4. (10 points)

      tex2html_wrap349

      Compute the gain ( tex2html_wrap_inline311 ) of two cascaded stages of identical copies of this circuit as shown in the above figure. As before, each op amp has an output impedance of tex2html_wrap_inline299 .

  2. (25 points) All parts of this question are based on the exponential equation model of the diode.

    1. (10 points) It is found that the current through a particular diode doubles for every 25mV increase in the forward bias voltage. What is the value of n (the emission coefficient) in the model equation?

    2. (10 points) In addition, it is found that the current through the same diode is 1mA when the forward bias voltage is 0.7V. What is the value of tex2html_wrap_inline317 (the saturation current) for this diode?
    3. (5 points) What is the value of tex2html_wrap_inline172 (the small-signal resistance) for this diode when the forward-bias voltage is 0.725V?

  3. (25 points)

    In the following circuit the op amp is ideal in all aspects but the diode will be modelled using the ideal diode and battery model in all parts of this question ( tex2html_wrap_inline321 ). tex2html_wrap351

    1. (2 points) Redraw the above circuit using the ideal diode and battery model ( tex2html_wrap_inline321 ).

    2. (5 points) Assume that the ideal diode is forward biased. What is tex2html_wrap_inline174 as a function of tex2html_wrap_inline176 ? (Don't forget to include the 0.7V battery)

    3. (5 points) For what range of input voltages is the forward biased assumption valid? (Don't forget to include the 0.7V battery)

    4. (5 points) Assume that the ideal diode is reversed biased. What is tex2html_wrap_inline174 as a function of tex2html_wrap_inline176 ? (Don't forget to include the 0.7V battery)
    5. (5 points) For what range of input voltages is the reversed biased assumption valid? (Don't forget to include the 0.7V battery)

    6. (3 points) Combine all of your results from the previous parts to write an expression (or expressions) that defines tex2html_wrap_inline174 for all possible values of tex2html_wrap_inline176 (still assuming the ideal diode and battery model for the diode).

  4. (25 points) Short Answer.

    1. (5 points) Why is it important to design op amp circuits (e.g. the inverting configuration) in such a way so that the overall gain of the circuit is independent of the exact value of A (the open-loop gain of the op amp)?

    2. (5 points) An internally compensated op amp has an open-loop gain of

      displaymath337

      What is the approximate unity gain frequency tex2html_wrap_inline339 of this op amp? (Make sure the units of tex2html_wrap_inline339 are correct!)

    3. (5 points) What important region of operation that exists in all real diodes is not included in the exponential equation model tex2html_wrap_inline343

    4. (5 points) A well-designed voltage regulator should keep its output voltage constant with respect to: (circle a single answer)
      a)
      the amount of ripple on the input.
      b)
      the amount of current drawn by the load.
      c)
      temperature.
      d)
      all of the above.

    5. (5 points) What assumption is made when using the small-signal approximation?


next up previous
Next: EXAM 2 Up: EEL3304: EXAMS Previous: EEL3304: EXAMS

Dr John Harris
Wed Dec 10 08:15:23 EST 1997