MIT 6 002 - Study Guide (10 pages)

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Study Guide



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Study Guide

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Pages:
10
School:
Massachusetts Institute of Technology
Course:
6 002 - Circuits and Electronics
Circuits and Electronics Documents

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE 6 002 Circuits and Electronics Quiz 2 November 15 2005 YOUR NAME SOLUTIONS Recitation Instructor TA General Instructions 1 Please verify that there are 15 pages in your exam booklet 2 Please do all of your work in the spaces provided in this examination booklet In particular try to 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 available at the end of the booklet Place the answer to each question within the appropriate answer box 3 You may use two double sided pages of notes and a calculator while taking this exam For examiner s use only Problem Points Score Grader 1 30 2 30 3 40 Total 100 Problem 1 30 Points For the circuits below please find expressions for the specified voltage or current over the indicated time ranges in terms of the circuit parameters Plot the waveform on the provided axes and clearly identify the key parameters in your graph A Consider the circuit of Fig 1 The switch is closed for t 0 open for 0 t t and closed for t t where t 3L R Find and plot the current i t 1 I DD V 1mA GG 1 3 B 10 2 5V V 1V R 5k L 1mS T L Figure 1 Plot i t over all time indicating important waveform parameters L iL t t 0 0 t I 1 iL t 0 t t1 1 e 2 iL t t t1 t I 1 e 6 e 2 2 1 iL I 1 e 6 2 2 L R 1 L 2R t 3 t 1 R B Consider the circuit of Figure 2 in which 0 The switch is open for t 0 and closed for t 0 v 0 V Find and plot the voltage v t C 0 Figure 2 1 Plot v t over all time indicating important waveform parameters 1 Find the Thevenin equivalent as seen by the capacitor when the switch closes Apply VT IT By KVL around the loop VT R1 1 IT R2 IT VT IT R1 1 R2 REQ R1 1 R2 1 Find the time constant REQC R1 1 R2 C 2 Find V1 at t 0 At t 0 3 Find V1 at t 0 At t 0 V1 0 V1 R1 1 V0 R1 1 R 2 4 Find V1 at t At t V1 0 V1 t t 0 0 V1 t t 0 t Vo R1 1 e R1 1 R2 C R1 1 R2 V1 V0 R1 1 R1 1 R2 t Problem 2



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