ECE 250 Homework: Diode and Transistor Analysis - Prof. Marc E. Herniter, Assignments of Electrical and Electronics Engineering

Five problems related to diode and transistor analysis. Students are required to calculate diode dc and ac parameters, find the small signal resistance of a diode, and design a circuit using a newly discovered transistor called transistosaur. Problems involve hand calculations and the use of pspice for verification.

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ECE 250 Homework #7
Due 5/4/04
Problem 1:
+
R1
2000
0
+
-
V1
DC = 6
+
R2
2000
0
Vd
+
R3
1000
-
+
Transient
Analysis
V2
AMPLITUDE = 0.3
FREQUENCY = 1k
D8
D1N4148
0
a) Calculate the diode DC current and voltage.
b) Calculate the diode small signal resistance.
c) Calculate the diode ac voltage and current.
d) Use a Transient analysis with PSpice to find the diode ac voltage and current.
e) Compare your PSpice and hand calculations.
(To solve this problem properly, you will need to find the PSpice model for the D1N4148 and locate the values for the
saturation current and emission coefficient used by PSpice.)
Problem 2: Book Problem 1.36 on page 46.
Problem 3:
A new diode has been discovered that has the following current-voltage characteristics:
=otherwise
VforV
IDD
D0
0
2/5
ρ
where 2/5
50V
A
µ
ρ
=
Note that the current direction and voltage reference for ID and VD are the same for a standard semiconductor diode.
+
R
1k
0
+
-
Vin
DC = 12
VoVin
D1
a) For the circuit above, find numerical values of ID and VD. (VD will not be 0.7 volts.)
b) Find an equation for the small signal resistance of this diode, rd.
c) What is the value of this resistance at the operating point found in part a?
Problem 4):
An ancient semiconductor fossil was recently unearthed by paleontologists called transistosaur. After extracting the DNA
from this fossil, scientists were able to recreate a working device. It will soon be available in mass quantities from
semiconductor manufacturers.
pf3

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ECE 250 Homework

Due 5/4/

Problem 1:

R

2000

0

V DC = 6

R 2000

0

Vd

R

1000

TransientAnalysis

(^) V AMPLITUDE = 0. FREQUENCY = 1k D D1N

0

a) Calculate the diode DC current and voltage. b) Calculate the diode small signal resistance. c) Calculate the diode ac voltage and current. d) Use a Transient analysis with PSpice to find the diode ac voltage and current. e) Compare your PSpice and hand calculations. (To solve this problem properly, you will need to find the PSpice model for the D1N4148 and locate the values for the saturation current and emission coefficient used by PSpice.)

Problem 2: Book Problem 1.36 on page 46.

Problem 3: 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 ρ =

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

a) For the circuit above, find numerical values of ID and V (^) D. (V (^) D will not be 0.7 volts.) b) Find an equation for the small signal resistance of this diode, r (^) d. c) What is the value of this resistance at the operating point found in part a?

Problem 4): An ancient semiconductor fossil was recently unearthed by paleontologists called transistosaur. After extracting the DNA from this fossil, scientists were able to recreate a working device. It will soon be available in mass quantities from semiconductor manufacturers.

Note that the symbol was created by paleontologists and is supposed to remind us of a dinosaur footprint. The equations that govern this device are:

Z X

X XY

I I

I KV K

= β

3 1

Where K 1 and K 2 are paleolithic constants and β is a constant in the range of 50 to 500. Note that V (^) XY is the controlling voltage of this device. The small signal model of this device is shown below:

Y

GmVxy

X Z

Rxy

Vxy

a) Generate equations for the small signal quantities rxy and g (^) m for this device. b) Further experimentation with device has yielded numerical values for the constants:

  • K 1 = 10 μA/V 3
  • K 2 = 1 μA
  • β = 100 Use this device in our standard current source bias scheme to bias the device at IZ = 10 mA and VZY = 6 volts. For example, use the circuit below but use a Transistosaur ®^ rather than a BJT.

REE

Rz

I

Vo

Vs + C

I X

I Z

VXY

VZY X

Z

Y

Use a Transistosaur

®

instead of a BJT here.