Georgia Institute of Technology
School of Electrical and Computer Engineering
Midterm Examination #z
Date: October 13, 2o2S Course: ECE go4o
Section: A
Time: 75 minutes
Name: SO LUT loNS
Guidelines for Midterm #2:
1. Closed book, closed notes. Non-programmable calculators are permitted, no
formula sheets.
z. The work you show on the exam paper itself is the only work which will be
graded. Youmay use the backs of the quiz pages,tf you find you need additional
space.
3. Plots , sketches o;nd diagranns musf be labeled in detail.
4. Answers must include proper urtits, toheneuer applicable, otnd
ueetor quantities must be clearly indicated using the convention adopted
for this course.
S. It is required to show all work in order to receive full credit for your
answers, regardless of whether or not the answers are correct. Incorrect answers
maybe awarded partial credit when appropriate.
6. There are 8 pages to this exam, including the cover sheet. Please make sure you
have not overlooked any problems.
, Problem 1: The Half-Wave Rectifier (20 points)
The capacitor in the circuit below is initially uncharged, and the voltage v1 (t) = 10 sin(120rrt)
Volts is applied starting at time t=o. You can assume that R = 1 Ohm and C = .008 F. You may
use the ideal diode model to answer each of the questions below:
a) 5 pts. Is this a low ripple design? Justify your
+ DI
answer •
.p � 6 C) Ji�
+
c __ R v0 W=--l"2-o1' rJ/s
-
-t '/rte...-=. 1-Z..5 s·' � -¼; w
Nor low r, rple.
) 5 pts. Sketch the output voltage v0 (t) in the
space provided below over the first three
,-
fu_!Lperiods: �T "3T
01--.....--+-----it----...--1----1-----
-10\/
clJ�j ::t:oog-. k (-10
c) 5 pts. What is the peak surge current the instant the diode starts to conduct current for the
first time after the circuit is turned on?
-::+c '5'" 12,Jrt) J
Tfe T/-z.,
=--'· oos-. 1-z.oon- cos GcJ t J -z. :::. c:i. 6 rr A
17
� "30,16 A
d) 5 pts. What is the peak inverse voltage (PIV) for the diode in this circuit?
Co"-s enl ..._+Ive es+; MA../.e.
Bet-I-er e_4;,+)N\� k , \J � ( I +-
-2-
School of Electrical and Computer Engineering
Midterm Examination #z
Date: October 13, 2o2S Course: ECE go4o
Section: A
Time: 75 minutes
Name: SO LUT loNS
Guidelines for Midterm #2:
1. Closed book, closed notes. Non-programmable calculators are permitted, no
formula sheets.
z. The work you show on the exam paper itself is the only work which will be
graded. Youmay use the backs of the quiz pages,tf you find you need additional
space.
3. Plots , sketches o;nd diagranns musf be labeled in detail.
4. Answers must include proper urtits, toheneuer applicable, otnd
ueetor quantities must be clearly indicated using the convention adopted
for this course.
S. It is required to show all work in order to receive full credit for your
answers, regardless of whether or not the answers are correct. Incorrect answers
maybe awarded partial credit when appropriate.
6. There are 8 pages to this exam, including the cover sheet. Please make sure you
have not overlooked any problems.
, Problem 1: The Half-Wave Rectifier (20 points)
The capacitor in the circuit below is initially uncharged, and the voltage v1 (t) = 10 sin(120rrt)
Volts is applied starting at time t=o. You can assume that R = 1 Ohm and C = .008 F. You may
use the ideal diode model to answer each of the questions below:
a) 5 pts. Is this a low ripple design? Justify your
+ DI
answer •
.p � 6 C) Ji�
+
c __ R v0 W=--l"2-o1' rJ/s
-
-t '/rte...-=. 1-Z..5 s·' � -¼; w
Nor low r, rple.
) 5 pts. Sketch the output voltage v0 (t) in the
space provided below over the first three
,-
fu_!Lperiods: �T "3T
01--.....--+-----it----...--1----1-----
-10\/
clJ�j ::t:oog-. k (-10
c) 5 pts. What is the peak surge current the instant the diode starts to conduct current for the
first time after the circuit is turned on?
-::+c '5'" 12,Jrt) J
Tfe T/-z.,
=--'· oos-. 1-z.oon- cos GcJ t J -z. :::. c:i. 6 rr A
17
� "30,16 A
d) 5 pts. What is the peak inverse voltage (PIV) for the diode in this circuit?
Co"-s enl ..._+Ive es+; MA../.e.
Bet-I-er e_4;,+)N\� k , \J � ( I +-
-2-
