ISRO Electronics & Communication (ECE) 2015 - Question 2

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Topic: Semiconductor Devices

A sample of Si is doped with 10^17 donor atoms/cm³. Considering electron mobility in the doped Si 700 cm²/V-sec, the approximate resistivity of the doped Si is:

  • A. 1 Ω-cm
  • B. 10 Ω-cm
  • C. 0.1 Ω-cm
  • D. 100 Ω-cm

Answer: C. 0.1 Ω-cm

Explanation: N_d = 10^17 atoms/cm³, μ_e = 700 cm²/V-sec. Conductivity σ = N_d * q * μ_e = 10^17 * 1.6 * 10^-19 * 700 = 11.2 Ω^-1-cm^-1. Thus, resistivity ρ = 1 / σ ≈ 0.1 Ω-cm.

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