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Semiconductor Physics and Devices: Basic Principles, 4
th
 edition Chapter 14 
By D. A. Neamen Problem Solutions 
______________________________________________________________________________________ 
 
14.11 
 From Problem 14.10, 101095.8 SI A 
(a) 








S
L
toc
I
I
VV 1ln 
   












10
3
1095.8
10120
1ln0259.0 
 4847.0 V 
(b) 
















 1exp
t
SL
V
V
III 
 33 1012010100   
 
















  1exp1095.8 10
tV
V
 
 4383.0V V 
(c) 
S
L
t
m
t
m
I
I
V
V
V
V
















 1exp1 
 
10
3
1095.8
10120
1




 
 810341.1  
 By trial and error, 412.0mV V 
 Now 
 
















 1exp
t
m
SLm
V
V
III 
 
310120  
   











  1
0259.0
412.0
exp1095.8 10 
 31075.112  mI A 75.112 mA 
   412.075.112 mmm VIP 
 5.46 mW 
(d) 
11275.0
412.0

m
m
LLmm
I
V
RRIV 
  65.3LR 
_______________________________________ 
 
14.12 
 From Problem 14.10, 101095.8 SI A 
 (a) 
 (i) 








S
L
toc
I
I
VV 1ln 
   












10
3
1095.8
1010
1ln0259.0 
 420.0 V 
 
 
 (ii) 
S
L
t
m
t
m
I
I
V
V
V
V
















 1exp1 
 
10
3
1095.8
1010
1




 
 710117.1  
 By trial and error, 351.0mV V 
 Now 
 
















 1exp
t
m
SLm
V
V
III 
 31010  
   











  1
0259.0
351.0
exp1095.8 10 
 31031.9 mI A 31.9 mA 
 Then 
    27.3351.031.9  mmm VIP mW 
 (b) 
 (i)   












10
3
1095.8
10100
1ln0259.0ocV 
 480.0 V 
 (ii) 
S
L
t
m
t
m
I
I
V
V
V
V
















 1exp1 
 
10
3
1095.8
10100
1




 
 
810117.1  
 By trial and error, 407.0mV V 
 Now 
 
















 1exp
t
m
SLm
V
V
III 
 
310100  
   











  1
0259.0
407.0
exp1095.8 10 
 21040.9 mI A 0.94 mA 
 Then 
    3.38407.00.94  mmm VIP mW 
(c) 7.11
27.3
3.38
1
2 
m
m
P
P
 
_______________________________________