Question:

In semiconductor the concentrations of electrons and holes are $ 8\times 10^{18}m^{3} $ and $ 5\times 10^{18}/m^{3} $ respectively. If the mobilities of electrons and holes are $2.3 \,m^2 /Vs$ it and $0.01 \,m^2 /Vs$ respectively, then semiconductor is

Updated On: Nov 14, 2024
  • n-type and its resistivity is 0.34 $ \Omega $ -m
  • p-type and its resistivity is 0.034 $ \Omega $ -m
  • n-type and its resistivity is 0.034 $ \Omega $ -m
  • p-type and its resistivity is 3.4 $ \Omega $ -m
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The Correct Option is A

Solution and Explanation

In $n$-type semiconductors electrons are majority carriers and holes are minority carriers. $n_{e}=8 \times 10^{18} / m ^{3},$ $n_{h}=5 \times 10^{18} / m ^{3}, $ $\mu_{e}=2.3 \,m ^{2} / V - s , $ $\mu_{h}=0.01\, m ^{2} / V - s .$ As $n_{ e } > n_{h}$, so semiconductor is $n$-type. Also conductivity $(\sigma)=\frac{1}{\text { Resistivity }(\rho)}$ $=e\left(n_{e} \mu_{e}+n_{h} \mu_{h}\right)$ $\Rightarrow \rho=1.6 \times 10^{-19}$ $\left[8 \times 10^{18} \times 2.3+5 \times 10^{18} \times 0.01\right]$ $\Rightarrow =0.34\, \Omega - m$
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Top Questions on Semiconductor electronics: materials, devices and simple circuits

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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:

  1. Semiconductor acts like an insulator at Zero Kelvin. On increasing the temperature, it works as a conductor.
  2. Due to their exceptional electrical properties, semiconductors can be modified by doping to make semiconductor devices suitable for energy conversion, switches, and amplifiers.
  3. Lesser power losses.

Uses of Semiconductor:

  1. Semiconductors are widely used in manufacturing electronics devices like transistors, diodes, sensors, integrated circuits.
  2. Semiconductors are widely used in all electronic devices, like mobile phones, digital cameras, communication devices, trains, ATMs, etc.