2.16 Concentration questions with a twist. (a) A silicon wafer is uniformly doped p-type with N₁ = 10¹5/cm³. At 70 K, what are the equilibrium hole and electron concentrations? (b) A semiconductor is doped with an impurity concentration N such that N>n; and all the impurities are ionized. Also, n = N and p = n²/N. Is the impurity a donor or an acceptor? Explain. (c) The electron concentration in a piece of Si maintained at 300 K under equilibrium conditions is 105/cm³. What is the hole concentration?

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1.Pierret Problem 2.16
2.16 Concentration questions with a twist.
(a) A silicon wafer is uniformly doped p-type with N₁ = 10¹5/cm³. At T = 0 K, what are
the equilibrium hole and electron concentrations?
(b) A semiconductor is doped with an impurity concentration № such that N »n; and all
the impurities are ionized. Also, n = N and p = n/N. Is the impurity a donor or an
acceptor? Explain.
(c) The electron concentration in a piece of Si maintained at 300 K under equilibrium
conditions is 105/cm³. What is the hole concentration?
(d) For a silicon sample maintained at T = 300 K, the Fermi level is located 0.259 eV
above the intrinsic Fermi level. What are the hole and electron concentrations?
(e) In a nondegenerate germanium sample maintained under equilibrium conditions near
room temperature, it is known that n, 1013/cm³, n == 2p, and N 0. Determine n
and N₁.
Transcribed Image Text:1.Pierret Problem 2.16 2.16 Concentration questions with a twist. (a) A silicon wafer is uniformly doped p-type with N₁ = 10¹5/cm³. At T = 0 K, what are the equilibrium hole and electron concentrations? (b) A semiconductor is doped with an impurity concentration № such that N »n; and all the impurities are ionized. Also, n = N and p = n/N. Is the impurity a donor or an acceptor? Explain. (c) The electron concentration in a piece of Si maintained at 300 K under equilibrium conditions is 105/cm³. What is the hole concentration? (d) For a silicon sample maintained at T = 300 K, the Fermi level is located 0.259 eV above the intrinsic Fermi level. What are the hole and electron concentrations? (e) In a nondegenerate germanium sample maintained under equilibrium conditions near room temperature, it is known that n, 1013/cm³, n == 2p, and N 0. Determine n and N₁.
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