Homework #3 for semiconductor devices

Anonymous
timer Asked: Sep 6th, 2018
account_balance_wallet $10

Question description

This homework is about Semiconductors, Transport in semiconductors, semiconductor statistics, PN diodes, Solar cells, Light emitting diodes, MOS Capacitors, MOSFETs , MOS scaling issues, BJT , Fabrication steps.

Tutor Answer

achiaovintel
School: Purdue University

Attached.

Running Head: SEMICONDUCTOR HOMEWORK

Semiconductor Homework
Name
Instructor
Course
Date

1

SEMICONDUCTOR HOMEWORK
Problem 1: (ABET outcomes: 1, 2)
𝐂𝐝𝐒: 𝐍𝐝 = 𝟏𝟎𝟏𝟓 𝐜𝐦−𝟑 , 𝐓 = 𝟑𝟎𝟎𝐊
I.

Dark Resistance

a) Intrinsic carrier concentration
−Eg

ni = √Nc Nv e( 2kT )
2πmn kT 3⁄
] 2
h2

Nc = 2[

2πmp kT 3⁄
] 2
h2

Nv = 2[

mn = 0.21
mp = 0.80
k = 86 × 10−6 eV/k
T = 300
h = 6.62607004 × 10−34
Eg = 2.42eV
2π×0.21×86×10−6 ×300 3⁄
] 2
(6.62607004×10−34 )2

Nc = 2[

Nc = 4.32 × 1097 cm−3
2π×0.80×86×10−6 ×300 3⁄
] 2
(6.62607004×10−34 )2

Nv = 2[

Nv = 3.21 × 1098 cm−3

2

SEMICONDUCTOR HOMEWORK

3
−2.42

ni = √(4.32 × 1097 )(3.21 × 1098 )e(2×0.0258)
𝐧𝐢 = 𝟓. 𝟎𝟒𝟔 × 𝟏𝟎𝟕𝟕 𝐜𝐦−𝟑
b) n0 and p0
−Eg

n0 = Nc e( kT )
−2.42

𝑛0 = (4.32 × 1097 )e(0.0258)
𝐧𝟎 = 𝟕. 𝟗𝟑𝟏 × 𝟏𝟎𝟓𝟔 𝐜𝐦−𝟑
−Eg

p0 = Nv e( kT )
−2.42

p0 = (3.21 × 1098 )e(0.0258)
𝐩𝟎 = 𝟓. 𝟖𝟗𝟑 × 𝟏𝟎𝟓𝟕 𝐜𝐦−𝟑
c) Conductivity
σ = q(nμn + pμp )
μn = 250
μp = 15
q = 1.6 × 1019 C
σ = 1.6 × 1019 ((250 × 7.931 × 1056 ) + (15 × 5.893 × 1057 ))
σ = 4.587 × 1040 Ω−1 cm−1
d) Resistance

SEMICONDUCTOR HOMEWORK
L

R = σA
L = 0.5cm
A = 0.2 × 0.0005 = 0.0001cm2
0.5

R = 4.587×1040 ×0.0001
R = 1.09 × 10−37 Ω
II.

Light on Resistance

a) Excess carrier concentration
δn = δp = τp Gop = 10−6 × 1021
δn = δp = 𝟏 × 𝟏𝟎𝟏𝟓 𝐜𝐦−𝟑
b) n and p
n = p = (n0 + δp ) = (p0 + δp )
n = p = (1015 ) + (1 × 1015 ) = 2.0 × 1015
𝐧 = 𝟐. 𝟎 × 𝟏𝟎𝟏𝟓 𝐜𝐦−𝟑
𝐩 = 𝟐. 𝟎 × 𝟏𝟎𝟏𝟓 𝐜𝐦−𝟑
c) conductivity
σ = q(nμn + pμp )
μn = 250
μp = 15

4

SEMICONDUCTOR HOMEWORK
q = 1.6 × 1019 C
σ = 1.6 × 1019 ((250 × 2.0 × 1015 ) + (15 × 2.0 × 1015 ))
𝛔 = 𝟎. 𝟎𝟖𝟒𝟖 Ω−𝟏 𝐜𝐦−𝟏
d) Resistance
L

R = σA
L = 0.5cm
A = 0.2 × 0.0005 = ...

flag Report DMCA
Review

Anonymous
Goes above and beyond expectations !

Similar Questions
Hot Questions
Related Tags

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors