Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 – Circuits & Electronics Spring 2007 Quiz #1 13 March 2007 Name: • There are 26 pages in this quiz, including this cover page. Please check that you have them all. • Please wr ite your name in the space provided above, and circle the name of your recitation instructor along with the time of your recitation. • IMPORTANT: The problems in this quiz vary in difficulty; moreover, questions of different levels of difficulty are distributed throughout the quiz. If you find yourself spending a long time on a question, consider moving on to later problems in the quiz, and then working on the challenging problems after you have finished all of the easier ones. • Do your work for each question within the boundaries of that question, or on the back of the preceding p age. When finished, enter your answer to each question in the corresponding answer box that follows the question. • Remember to include the sign and units for all numerical answers. • This is a closed-book quiz, but you may u se a calculator and your double-sided page of notes. • You have 2 hours to complete this quiz. Good luck! • 1. 2. 6. 7. 11. 12. 16. 17. 21. 22. 3. 8. 13. 18. 23. 4. 9. 14. 19. 24. 5. 10. 15. 20. 25. Final Score: 1 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 1: 4 points VO 18 Ω 12 Ω 12 Ω 12 Ω VS VO VS = 1/4 1/3 1/2 2/3 3/4 2 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 2: 4 points 3 Ω 3 Ω 3 Ω 3 Ω IS IO IO IS = 1/4 1/3 1/2 2/3 3/4 3 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Network (B)Problem 3: 4 points iR2 R1 V -+I + -v Graph the above network’s i−v relations as viewed from its port. Clearly label the intercepts and the slope. i v 4 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].� � � � � � Problem 4: 4 points R R R R R (resistor pattern R R R RReq R continues) Req = R/2 R 1+2 √3 R 1 +√3 R 1+2 √5 2R 5 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 5: 4 points Write the node equations for the nodes el and e2 in the box below. Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 6: 4 points Thevenin Thevenin Equivalent Equivalent Circuit Circuit The current i is measured in two experiments which are performed on a Thevenin equivalent circuit as shown. What is the Thevenin equivalent resistance? Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 7: 4 points A battery, which can be modelled by a Thevenin equivalent circuit, has an open circuit voltage of 2 volts. When a 500 Ω resistor is connected to the battery, the terminal voltage drops to 1 volt. How much power is dissipated in the Thevenin equivalent resistance of the battery under this condition? Pdiss = 0.002 W 0.005 W 0.5 W 2 W 5 W 8 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 8: 4 points 1 Ω 1 Ω 1 V 1 V 1 A VO Vo = −3/2 V −1/2 V 0 V 1/2 V 3/2 V 9 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 9: 4 points 2 m Noise in the 2 meter digital channel shown above is added in at the rate of 0.6 V per meter. To correct for that noise, we introdu ce buffers into the channel. The purpose of a buffer is to take a signal, to which n oise has been added so that it no longer meets the output specifications of the static discipline, and clean it up so that it once again meets the outpu t specifications of the static discipline. These buffers, as well as the gates show n, obey the following static discipline: VOL = 1 V VOH = 4 V VIL = 2 V VIH = 3 V What is the minimum number of buffers required to connect between the digital links in order to insure correct operation? 0 1 2 3 4 10 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 10: 4 points B A Z Fill in the truth table for the above digital circuit. A B Z 0 0 0 1 1 0 1 1 11 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].Problem 11: 4 points A C B This gate is equivalent to: C A A C C B B A B A B (a) Circuit A (b) Circuit B (c) Circuit C (d) Circuit D none of A B C D the above 12 C Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded
View Full Document
Unlocking...