MIT EE and cs EEC6.002 Electronic ckt f00 homework4

MIT EE and cs EEC6.002 Electronic ckt f00 homework4 - (over)

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Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 - Electronic Circuits Fall 2000 Homework #4 Handout F00-024 Issued 9/28/2000 - Due 10/5/2000 Read Chapter 4 except Section 4 .4. Exercise 4-1: Exercise 4. 3, Chapter 4 . Exercise 4-2: Exercise 6. 5, Chapter 6 . Problem 4.1: The zener diode in the circuit below has the v-i characteristic shown at the right. 7 k Ω i i i D S D 3 k Ω + v v D -4.5 S - 0.6 v D (volts) a) For the input voltage v S shown below, indicate the time regions where the diode is ON (conducting a current) and OFF (open circuit). Label the boundaries with numerical values. 20 -20 10 20 30 40 v S (t) (volts) t (ms) b) For the input voltage v S shown above, sketch the diode voltage waveform, v D (t) . Label all breakpoint coordinates with values and units. c) Find the value of the current i s for v S = -25.5 volts. Problem 4.2: Problem 4. 3, Chapter 4 . Replace the words “piecewise-linear” with “incremental” in parts c) and d), and use as the operating point v = 3, i = 0.

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Unformatted text preview: (over) ----------------Problem 4.3: Consider the circuit containing a nonlinear element N as shown in Figure 4.3. The i-v relation for a ⎛ –-----v--⎞ the element N is given by i a = ( 10 A ) ⋅ ⎜ 1 – e 5 V ⎟ . ⎝ ⎠ 2 Ω N + -v i + -v a i a a) Write an equation relating the voltage v a to the input voltage v i . b) Solve for the voltage v a for v i = 10 volts. Note: This requires that you solve the equation in part a. itera-tively for v a . Hint: Use the exponential term to solve for v a as a function of v a and iterate. Δ v c) Find the incremental change in v a for a 2% increase in v i and calculate the ratio a . Δ v i d) Find the value for the incremental resistance of the nonlinear element N by linearizing the expression for i a about the operating point when v i = 10 volts. e) Draw the incremental circuit for the circuit in Figure 4.3. Δ v f) Find the ratio a from the incremental circuit and compare with your exact value from part c. Δ v i...
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This homework help was uploaded on 02/20/2008 for the course ECE 6.002 taught by Professor Staff during the Fall '00 term at MIT.

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MIT EE and cs EEC6.002 Electronic ckt f00 homework4 - (over)

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