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Semiconductor Physics and Devices: Basic Principles, 4
th
 edition Chapter 11 
By D. A. Neamen Problem Solutions 
______________________________________________________________________________________ 
 
Chapter 11 
 
11.1 
 (a) 
 
  







 
t
GS
D
V
V
I
1.2
exp10 15 
 For 5.0GSV V, 
 
  






 
0259.01.2
5.0
exp10 15
DI 
 121083.9 DI A 
 For 7.0GSV V, 
 101088.3 DI A 
 For 9.0GSV V, 
 81054.1 DI A 
 Then the total current is: 
  610DT II  
 For 5.0GSV V, 83.9TI A 
 For 7.0GSV V, 388.0TI mA 
 For 9.0GSV V, 4.15TI mA 
 (b) 
 Power: DDT VIP  
 Then 
 For 5.0GSV V, 2.49P W 
 For 7.0GSV V, 94.1P mW 
 For 9.0GSV V, 77P mW 
_______________________________________ 
 
11.2 
 
 





 


















t
GSGS
t
GS
t
GS
D
D
nV
VV
nV
V
nV
V
I
I 12
1
2
1
2 exp
exp
exp
 
 








1
2
12 ln
D
D
tGSGS
I
I
nVVV 
(a)    10ln0259.012  GSGS VV 
 0596.0 V 
(b)     10ln0259.05.112  GSGS VV 
 0895.0 V 
(c)     10ln0259.01.212  GSGS VV 
 125.0 V 
_______________________________________ 
 
 
 
11.3 
   3653.0
105.1
102
ln0259.0
10
16










fp V 
 We find that 
 
  
  1619
14
102106.1
1085.87.1122






a
s
eN
 
 510544.2  cm/V 2/1 
   satVV
eN
L DSfpDSfp
a
s 

 
2
 
(a)   6.04.00.1  TGSDS VVsatV V 
  510544.2 L 
  6.03653.023653.0  
 510413.1 L cm 1413.0 m 
(b)   6.04.00.1  TGSDS VVsatV V 
  510544.2 L 
  6.03653.043653.0  
 510816.2 L cm 2816.0 m 
(c)   6.14.00.2  TGSDS VVsatV V 
  510544.2 L 
  6.13653.023653.0  
 
610461.3 L cm 0346.0 m 
(d)   6.14.00.2  TGSDS VVsatV V 
  510544.2 L 
  6.13653.043653.0  
 
510749.1 L cm 1749.0 m 
_______________________________________ 
 
11.4 
   3653.0
105.1
102
ln0259.0
10
16










fp V 
 We find that 
 
  
  1619
14
102106.1
1085.87.1122






a
s
eN
 
 
510544.2  cm/V 2/1 
   6.14.00.2  TGSDS VVsatV V 
   satVV
eN
L DSfpDSfp
a
s 

 
2