What is the conductivity of a semiconductor (in Ω-1 m -1 ) if electron density =5 × 1012 / cm 3 and hole density =8 × 1013 / cm 3 ? (μe=2.3 m 2 V -1 s -1, μh=0.01 m 2 V -1 s -1)

Question

What is the conductivity of a semiconductor (in Ω-1 m -1 ) if electron density =5 × 1012 / cm 3 and hole density =8 × 1013 / cm 3 ? (μe=2.3 m 2 V -1 s -1, μh=0.01 m 2 V -1 s -1) (A) 5.634 (B) 1.968 (C) 3.421 (D) 8.964

Tardigrade Admin · Accepted Answer

Here, μe=2.3 m 2 V -1 s -1 μ h=0.01 m 2 V -1 s -1, ne=5 × 1012 / cm 3=5 × 1018 / m 3 nh=8 × 1013 / cm 3=8 × 1019 / m 3 σ=e(ne μe+nh μh) =1.6 × 10-19[(5 × 1018) × 2.3+(8 × 1019) × 0.01] =1.6 × 10-1[11.5+0.8]=1.968 Ω-1 m -1

Q. What is the conductivity of a semiconductor (in Ω−1m−1 ) if electron density =5×1012/cm3 and hole density =8×1013/cm3? (μe​=2.3m2V−1s−1,μh​=0.01m2V−1s−1)

5.634

1.968

3.421

8.964

Here, μe​=2.3m2V−1s−1 μh​=0.01m2V−1s−1,ne​=5×1012/cm3=5×1018/m3 nh​=8×1013/cm3=8×1019/m3 σ=e(ne​μe​+nh​μh​) =1.6×10−19[(5×1018)×2.3+(8×1019)×0.01] =1.6×10−1[11.5+0.8]=1.968Ω−1m−1

Q. What is the conductivity of a semiconductor (in $Ω^{- 1} m^{- 1}$ ) if electron density $= 5 \times 1 0^{12} / c m^{3}$ and hole density $= 8 \times 1 0^{13} / c m^{3} ?$
$(μ_{e} = 2.3 m^{2} V^{- 1} s^{- 1}, μ_{h} = 0.01 m^{2} V^{- 1} s^{- 1})$