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Semiconductor Physics and Devices: Basic Principles, 4
th
 edition Chapter 13 
By D. A. Neamen Problem Solutions 
______________________________________________________________________________________ 
 
(b) 86.3pOV V 
(c)    GSbipOSD VVVsatV  
 (i)   0.386.086.3 satVSD V 
 (ii)     5.15.186.086.3 satVSD V 
_______________________________________ 
 
13.8 
(a) 









2
ln
i
da
tbi
n
NN
VV 
  
  
  










26
1816
108.1
103102
ln0259.0 
 328.1 V 
 bipOp VVV  
 328.4328.10.3  pOpO VV V 
 
2/1
2





 

a
pOs
eN
V
a 
 
   
  
2/1
1619
14
102106.1
328.41085.81.132











 
 
51060.5  cm 560.0 m 
(b) 328.4pOV V 
(c)    GSbipOSD VVVsatV  
 (i)     0.30328.1328.4 satVSD V 
 (ii)     5.15.1328.1328.4 satVSD V 
_______________________________________ 
 
13.9 
(a)    GSbipODS VVVsatV  
 Now 
  
  
  










210
1816
105.1
104104
ln0259.0biV 
 886.0 V 
 We find 
 886.5886.05  pOpO VV V 
 
2/1
2





 

a
pOs
eN
V
a 
 
   
  
2/1
1619
14
104106.1
886.51085.87.112











 
 
51036.4  cm 436.0 m 
(b) (i) 886.5pOV V 
 (ii) 0.5886.5886.0  pObip VVV V 
_______________________________________ 
 
13.10 
(a)  
  
  










26
1815
108.1
10105
ln0259.0biV 
 264.1 V 
    GSbipOSD VVVsatV  
  0.1264.15.3  pOV 764.5 pOV V 
 
2/1
2





 

a
pOs
eN
V
a 
 
   
  
2/1
1519
14
105106.1
764.51085.81.132











 
 
410293.1  cm 293.1 m 
(b) 
 (i) 764.5pOV V 
 (ii) 264.1764.5  bipOp VVV 
 5.4 V 
_______________________________________ 
 
13.11 
 (a) 
 
 
L
WaeN
I
s
dn
P


6
32
1

 
 
     
  14
21619
1085.87.116
10106.11000




 
 
  
4
344
1020
105.010400




 
 or 
 03.11 PI mA 
 (b) 
 
s
d
PO
Nea
V


2
2
 
 
    
   












14
162419
1085.87.112
10105.0106.1
 
 or 
 93.1POV V 
 Also 
  
  
 
874.0
105.1
1010
ln0259.0
210
1619










biV V 
 Now 
    GSbiPODS VVVsatV  
 GSV 874.093.1 
 or 
   GSDS VsatV  056.1

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