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

Question

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 (A) 4.24 S m-1 (B) 2.12 S m-1 (C) 1.09 S m-1 (D) 0.47 Sm-1

Tardigrade Admin · Accepted Answer

Electrical conductivity, σ=(1/ρ)=ρ(μe ne+μn nn) .=1.6 × 10-19[0.36+017](2.5 × 1019)] =2.12 Sm -1

Q. Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are $0.36 m^{2} V^{- 1} s^{- 1}$ and $0.17 m^{2} V^{- 1} s^{- 1}$ . The electron and hole densities are each equal to $2.5 \times 1 0^{19} m^{3}$ . The electrical conductivity of germanium is

$4.24 S m^{- 1}$

$2.12 S m^{- 1}$

$1.09 S m^{- 1}$

$0.47 S m^{- 1}$

Electrical conductivity, $σ = \frac{1}{ρ} = ρ (μ_{e} n_{e} + μ_{n} n_{n})$
$= 1.6 \times 1 0^{- 19} [0.36 + 017] (2.5 \times 1 0^{19})]$
$= 2.12 S m^{- 1}$

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

4.24Sm−1

2.12Sm−1

1.09Sm−1

0.47Sm−1