ECE 250 Homework #5: Circuit Analysis with Zeners and Diodes - Prof. Marc E. Herniter, Assignments of Electrical and Electronics Engineering

The fifth homework assignment for ece 250, a circuit analysis course. Students are required to plot voltage-time graphs and verify their answers using pspice for various circuits involving zeners and diodes. The document also includes problems related to finding junction capacitance, conductivity in the n and p regions, and constants for silicon.

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Uploaded on 08/18/2009

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ECE 250 Homework # 5
Due 10/7/02
Problem 1:
a) Plot Vo(t) and Vin(t) for the circuit below by hand. Do not assume ideal diodes. Indicate numerical
values for all breakpoints. Let Vin be a ± 15 volt triangle wave. The breakdown voltage of the Zeners is
5.1 volts. Assume a diode voltage drop of 0.7 volts.
D2
-
+
+
R1
Vo
D1
-
+
Vin
b) Verify your answer with PSpice. Use the D1n4733 zener.
Problem 2:
An I-V plot for a Zener is shown below:
Create a separate model for the Zener in each of the three regions shown above.
Problem 3 :
a) Plot Vo(t) and Vin(t) for the circuit below by hand. Indicate numerical values for all breakpoints. Let
Vin be a ± 15 volt triangle wave.
Region 2
Region 3
Region 1
Vz
+
-
I z
pf2

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ECE 250 Homework # 5

Due 10/7/

Problem 1: a) Plot Vo(t) and Vin(t) for the circuit below by hand. Do not assume ideal diodes. Indicate numerical values for all breakpoints. Let Vin be a ± 15 volt triangle wave. The breakdown voltage of the Zeners is 5.1 volts. Assume a diode voltage drop of 0.7 volts. D

R1 Vo D

Vin

b) Verify your answer with PSpice. Use the D1n4733 zener.

Problem 2: An I-V plot for a Zener is shown below:

Create a separate model for the Zener in each of the three regions shown above.

Problem 3 : a) Plot Vo(t) and Vin(t) for the circuit below by hand. Indicate numerical values for all breakpoints. Let Vin be a ± 15 volt triangle wave.

Region 2

Region 3

Region 1

Vz

I z

Vo

D

R 3k

R 1k

D

R 3k

D

R

  • 3k

Vin

b) Verify your answer with PSpice.

Problem 4 : The donor concentration in the n-region of a silicon pn diode at 300 °K is Nd = 10^17 /cm^3. The minority carrier concentration in the p-region is npo=3× 103 /cm^3. The zero bias junction capacitance for this diode is Cjo=2 pF. Find the junction capacitance with a reverse bias of 10 volts. Assume that m= 0.5.

Problem 5:

Plot VR(t), VZ(t), VO(t), and Vin(t) for the circuit below. Do not assume ideal diodes. Indicate numerical values for all breakpoints. Let Vin be a ± 15 volt triangle wave. The breakdown voltage of the Zeners is 5 volts. Assume a diode voltage drop of 0.7 volts.

-^ -

Vin

VZ

D

R

0

VR

D

Vo

b) Verify your answer with PSpice.

Problem 6

The donor concentration in the n-region of a silicon pn diode at 300 °K is Nd = 10^17 /cm^3. The minority carrier concentration in the p-region is npo=3× 103 /cm^3. The zero bias junction capacitance for this diode is Cjo=2 pF. Find the conductivity in the n region and the conductivity in the p region.

Some constants:

  • μp=480 cm^2 /volt-sec,
  • The charge on an electron = 1.602× 10 -19^ coulombs,
  • μn=1350 cm^2 /volt-sec,
  • Boltzmann’s constant = 86×10-6^ eV/ºK = 1.378×10-23^ J/ºK,
  • Silicon band gap energy = 1.1 eV,
  • Silicon material constant B = 5.23× 1015 ( ) ( ) (^)  

( # ^ cm^3 ⋅ o^ K^32.