Semiconductor physics
What is the approximate resistivity of n-type silicon with an electron density of 1×10¹⁶ cm⁻³ and an electron mobility of 1000 cm²/V·s? (Ignore holes; elementary charge 1.6×10⁻¹⁹ C)
- AAbout 0.06 Ω·cm
- BAbout 0.6 Ω·cm
- CAbout 60 Ω·cm
Show answer and explanation
Answer: B. About 0.6 Ω·cm
The conductivity is σ = q n μ = 1.6×10⁻¹⁹ × 1×10¹⁶ × 1000 = 1.6 S/cm. The resistivity is its reciprocal: ρ = 1 / 1.6 ≈ 0.63 Ω·cm.