Question:
A pure Ge specimen is doped with Al. The number density of acceptor atoms is approximately 10$^{21} m^{-3}$. If density of electron hole pair in an intrinsic semiconductor is approximately 10$^{19} m^{-3}$, the number density of electrons in the specimen is
A pure Ge specimen is doped with Al. The number density of acceptor atoms is approximately 10$^{21} m^{-3}$. If density of electron hole pair in an intrinsic semiconductor is approximately 10$^{19} m^{-3}$, the number density of electrons in the specimen is
Updated On: Apr 29, 2024
- $10^4 m^{-3}$
- $10^2 m^{-3}$
- $10^{17} m^{-3}$
- $10^{15} m^{-3}$
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The Correct Option is C
Solution and Explanation
Given that, the density of electron hole pair in an intrinsic
semiconductor $(n_i) =\frac{10^{19}}{m^3}$
density of holes $(n_h) =\frac{10^{21}}{m^3}$
We know that $n_h \cdot n_e =n_i^2$
$\therefore \, \, \, \, \, \, 10^{21} \times n_e =(10^{19})^2$
$\Rightarrow \, \, \, \, \, \, \, n_e =\frac{10^{19} \times 10^{19}}{10^{21}}$
$\hspace30mm =10^{17}m^{-3}$
semiconductor $(n_i) =\frac{10^{19}}{m^3}$
density of holes $(n_h) =\frac{10^{21}}{m^3}$
We know that $n_h \cdot n_e =n_i^2$
$\therefore \, \, \, \, \, \, 10^{21} \times n_e =(10^{19})^2$
$\Rightarrow \, \, \, \, \, \, \, n_e =\frac{10^{19} \times 10^{19}}{10^{21}}$
$\hspace30mm =10^{17}m^{-3}$
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Concepts Used:
Semiconductors
Semiconductors are a crystalline solid materials, whose electrical conductivity lies between a conductor and an insulator. Semiconductors are mainly used in the manufacturing of electronic devices like capacitors, transistors, diodes, Integrated circuits, etc.
Properties of Semiconductor:
- Semiconductor acts like an insulator at Zero Kelvin. On increasing the temperature, it works as a conductor.
- Due to their exceptional electrical properties, semiconductors can be modified by doping to make semiconductor devices suitable for energy conversion, switches, and amplifiers.
- Lesser power losses.
Uses of Semiconductor:
- Semiconductors are widely used in manufacturing electronics devices like transistors, diodes, sensors, integrated circuits.
- Semiconductors are widely used in all electronic devices, like mobile phones, digital cameras, communication devices, trains, ATMs, etc.