Question:

The intrinsic carrier concentration of silicon sample at $ 300\, K $ is $ 1.5 \times 10^{16}\, m^{-3} $ . What is the density of minority carrier ? (after doping, the number of majority carriers is $ 5 \times 10^{20}\, m^{-3} $ )

Updated On: Jun 2, 2024
  • $ 4.5 \times 10^{11}\,m^{-3} $
  • $ 3.3 \times 10^{4}\,m^{-3} $
  • $ 5 \times 10^{20}\,m^{-3} $
  • $ 3 \times 10^{-5}\,m^{-3} $
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The Correct Option is A

Solution and Explanation

$n_{i}=1.5\times10^{16} m^{-3}; $
$n_{o}=5\times10^{20} m^{-3}$
$p_{o}=\frac{n_{i}^{2}}{n_{o}}=\frac{\left(1.5\times10^{16}m^{-3}\right)^{2}}{5\times10^{20} m^{-3}}$
$=4.5\times10^{11} m^{-3}$
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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.

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