1. Tardigrade
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  3. Physics
  4. Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are 0.36 m2V-1s-1 and 0.17 m2V-1s-1. The electron and hole densities are each equal to 2.5 × 1019 m3. The electrical conductivity of germanium is

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Q. Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are $0.36\,m^2V^{-1}s^{-1}$ and $0.17\,m^2V^{-1}s^{-1}$. The electron and hole densities are each equal to $2.5 \times 10^{19} m^3$. The electrical conductivity of germanium is

VITEEEVITEEE 2013Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

Electrical conductivity, $\sigma=\frac{1}{\rho}=\rho\left(\mu_{e} n_{e}+\mu_{n} n_{n}\right)$
$\left.=1.6 \times 10^{-19}[0.36+017]\left(2.5 \times 10^{19}\right)\right]$
$=2.12\, Sm ^{-1}$