Concept explainers
Determine the intrinsic carrier concentration in silicon, germanium, and GaAs at (a)
a.
The intrinsic carrier concentration for the given following materials.
Answer to Problem 1.1TYU
The intrinsic carrier concentration for Silicon, Germanium and Gallium Arsenide:
Explanation of Solution
Given information:
The given materials are:
Silicon, Germanium and Gallium Arsenide.
Temperature, T=400K.
Calculation:
The intrinsic carrier concentration
Where,
B is the specific material coefficient.
T is the temperature in kelvin.
k is the Boltzman’s constant.
The value of semi-conductor material coefficient for silicon,
And the energy gap for silicon,
Now, evaluating the intrinsic carrier concentration:
Similarly, for Germanium:
The value of semi-conductor material coefficient for Germanium,
And the energy gap for Germanium is,
The intrinsic carrier concentration is
Similarly, for Gallium Arsenide:
The value of semi-conductor material coefficient for Gallium Arsenide,
And the energy gap for Gallium Arsenide,
The intrinsic carrier concentration is
b.
The intrinsic carrier concentration for the given following materials.
Answer to Problem 1.1TYU
The intrinsic carrier concentration for Silicon, Germanium and Gallium Arsenide:
Explanation of Solution
Given information:
The given materials are:
Silicon, Germanium and Gallium Arsenide.
Temperature, T=250K
Calculation:
The intrinsic carrier concentration
Where,
B is the specific material coefficient.
T is the temperature in kelvin.
k is the Boltzman’s constant.
The value of semi-conductor material coefficient for silicon,
And the energy gap for silicon,
Now, evaluating the intrinsic carrier concentration:
Similarly, for Germanium:
The value of semi-conductor material coefficient for Germanium,
And the energy gap for Germanium,
Now, evaluating the intrinsic carrier concentration:
Similarly, for Gallium Arsenide:
The value of semi-conductor material coefficient for Gallium Arsenide,
And the energy gap for Gallium Arsenide,
Now, evaluating the intrinsic carrier concentration:
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Chapter 1 Solutions
Microelectronics: Circuit Analysis and Design
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