Analysis and Design of Analog Integrated Circuits (5th Edition) Edit editionThis problem has been solved:
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(a)
Calculate the built-in potential in a plane-abrupt 
junction.
Substitute 
for 
, 
for 
, 
for 
and 
for 
.
Therefore, the value of built-in voltage is 
.
Calculate the depletion layer depth in the 
region.
Substitute 
for 
, 
for 
, 
for 
, 
for 
, 
for 
, 
for 
.
Therefore, the depletion layer depth in the 
region is 
.
Calculate the depletion layer depth in the more heavily doped 
region.
Substitute 
for 
, 
for 
, 
for 
, 
for 
, 
for 
, 
for 
.
Therefore, the depletion layer depth in the 
region is 
.
Calculate the maximum field that occurs at 
.
Substitute 
for 
, 
for 
, 
for 
, 
for 
.
Therefore, the maximum field is 
.
(b)
For the zero external bias voltage
Calculate the depletion layer depth in the 
region for zero external bias.
Therefore, the depletion layer depth in the 
region is 
.
Calculate the depletion layer depth in the 
region for zero external bias.
Therefore, the depletion layer depth in the 
region is 
.
Calculate the maximum field for zero external bias voltage.
Therefore, the maximum field is 
.
The forward bias voltage is 
Built-in potential for this forward voltage
Calculate the depletion layer depth in the 
region.
Therefore, the depletion layer depth in the 
region is 
.
Calculate the depletion layer depth in the 
region .
Therefore, the depletion layer depth in the 
region is 
.
Calculate the maximum field for zero external bias voltage.
Therefore, the maximum field is 
.
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