ECE 250 Homework #3: Solving Diode and Circuit Problems - Prof. Marc E. Herniter, Assignments of Electrical and Electronics Engineering

Four problems related to diodes and circuit analysis for students in an electrical engineering course. The problems involve finding numerical values of current and voltage for a diode using different methods, determining the diode resistance and creating a piece-wise-linear model, and analyzing a temperature sensor circuit. Students are expected to use their knowledge of diode characteristics, circuit analysis, and equation solving to complete the homework.

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Pre 2010

Uploaded on 08/19/2009

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ECE 250 Homework #3
Due 3/25/02
Problem 1:
A new diode has been discovered that has the following current-voltage characteristics:
=otherwise
VforV
I
DD
D
0
0
2/5
ρ
where
2/5
50
V
A
µ
ρ
=
Note that the current direction and voltage reference for I
D
and V
D
are the same for a standard semiconductor diode.
+
R
1k
0
+
-
Vin
DC = 12
VoVin
D1
For the circuit above, find numerical values of I
D
and V
D
using:
a) a load line,
b) writing equations and solving with Maple or another equation solver,
c) iteration
Problem 2:
a) For the diode of problem 1, find an equation for the diode resistance that would be used in a piece-wise-linear model of the
diode.
b) Find a numerical value of the diode resistance if the diode voltage is V
D
=5 volts.
c) Create a piece-wise-linear model for this diode and specify numerical values foe the resistor and voltage source.
Problem 3:
The circuit below is a temperature sensor:
+
R1
5000
+5V
+
R2
804.5
+5V
+
C1
1u
+
C2
10u
+
-
V-
V+
U2-0
LM139
At 25 °C the diode voltage is 0.713 volts. At what temperature does the output of the comparator flip.
pf3

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ECE 250 Homework

Due 3/25/

Problem 1: A new diode has been discovered that has the following current-voltage characteristics:

otherwise

V forV

I D D D

ρ 5 /^20

where 50 5 / 2

V

μ A

Note that the current direction and voltage reference for ID and V (^) D are the same for a standard semiconductor diode.

R

1k

Vin DC = 12

Vin Vo

D

For the circuit above, find numerical values of ID and V (^) D using: a) a load line, b) writing equations and solving with Maple or another equation solver, c) iteration

Problem 2: a) For the diode of problem 1, find an equation for the diode resistance that would be used in a piece-wise-linear model of the diode. b) Find a numerical value of the diode resistance if the diode voltage is V (^) D =5 volts. c) Create a piece-wise-linear model for this diode and specify numerical values foe the resistor and voltage source.

Problem 3: The circuit below is a temperature sensor:

R

5000

+5V

R

+5V

C 1u

C 10u

V-

V+

U2-

LM

At 25 °C the diode voltage is 0.713 volts. At what temperature does the output of the comparator flip.

Problem 4:

Vo

R 2k

  • (^) V FREQUENCY = 100 AMPLITUDE = 15

R

1k

Vin

R 1k

R

1k

a) Which diode model should you use to solve this circuit? b) By hand, plot Vo(t) and Vin(t). c) Using PSpice and the new Ideal_Diode model, plot Vo(t) and Vin(t). d) By hand, plot the transfer curve Vo versus Vin. e) What does this circuit do?