Name:__________________________________________ Massachusetts Institute of Technology Department of Nuclear Science and Engineering Department of Electrical Engineering and Computer Science 22.071/6.071 – Introduction to Electronics, Signals and Measurement Spring 2006 Quiz 2 • Please write your name on each page of the exam in the space provided • Please verify that there are 11 pages in your exam. • To the extent possible, do your work for each question within the boundaries of the question or on the back side of the page preceding the question. Extra pages are also provided for computation. • Note that the total number of points is 100. • Closed book. No Calculators • Partial credit adds up so make sure that you show your work. 22.071/6.071 Spring 2006 Quiz#2 Page: 1Name:__________________________________________ Problem 1 - (15 points) What is the gain VoVs for the following circuit R1R2VsVoVi+++-- -A Vi 22.071/6.071 Spring 2006 Quiz#2 Page: 2Name:__________________________________________ Problem 2 - (15 points) The circuit below operates in steady state driven by the sinusoidal source Vs. R+-CLVsVo A. Calculate the transfer function ()VoHVsω= B. Graph ()Hω as a function of frequency and indicate how an increase in R will affect your graph. VoVs 22.071/6.071 Spring 2006 Quiz#2 Page: 3Name:__________________________________________ Problem 3 - (15 points) For the following circuit, the capacitor C is known. The circuit operates under sinusoidal steady state conditions. Determine the value of resistors R so that the phase difference between Vo and Vs is 2π−. (2Vo Vsπφφ−=) RRCCVs+-Vo+- 22.071/6.071 Spring 2006 Quiz#2 Page: 4Name:__________________________________________ Problem 4 - (10 points) Tau finds a black box with 3 terminals labeled Χ, Υ, Ζ. Tau, who took 6.071 last year, decides to make resistance measurements across the terminals at DC (0 Hzω=) and at high frequency (ω large). She observes the following results: Resistance (Ω) at Measure resistance across DC High-Freq. Χ – Υ ∞ 40 Υ – Ζ 0 ∞ Χ - Ζ ∞ ∞ Which of the following equivalent circuits is inside Tau’s black box? CLRxyz CLRxyz Circuit A Circuit B CLRxyz CLRxyz Circuit C Circuit D 22.071/6.071 Spring 2006 Quiz#2 Page: 5Name:__________________________________________ Problem 5 - (15 points) Find the impedance Zin across terminals a-b as indicated in the following circuit RLC+ v -AvZinab 22.071/6.071 Spring 2006 Quiz#2 Page: 6Name:__________________________________________ Problem 6 - (15 points) R1 R3R2 Cv+-Is For the circuit above the current Is has the form 00()00ItIs tt>⎧=⎨<⎩ Where 0constantI = A. Determine the voltage v at 0t+= and at t →∞B. Determine the equivalent resistance seen by the capacitor 22.071/6.071 Spring 2006 Quiz#2 Page: 7Name:__________________________________________ Problem 7 - (15 points) The signal Vs(t) is applied to the circuit as indicated in the schematic below Y(t)+-R1kΩ Vs50nF C The Fourier transform of the input signal Vs(t) is shown below. The output signal Y(t) is taken across the resistor. Draw the Fourier transform of the signal Y(t) on the following graph. 22.071/6.071 Spring 2006 Quiz#2 Page: 8Name:__________________________________________ Blank page: For computation 22.071/6.071 Spring 2006 Quiz#2 Page: 9Name:__________________________________________ Blank page: For computation 22.071/6.071 Spring 2006 Quiz#2 Page: 10Name:__________________________________________ Problem Points 1 2 3 4 5 6 7 Total 22.071/6.071 Spring 2006 Quiz#2 Page:
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