An N-type sample of silicon has uniform density (N = 1019 cm ³) of arsenic, and a P-type silicon sample has a uniform density (N₁ = 10¹5 cm-³) of boron. For each sample, determine the following: (a) The temperature at which the intrinsic concentration ni exceeds the impurity density by factor of 10. (b) The equilibrium minority-carrier concentrations at 300 K. Assume full ionization of impurities. (c) The Fermi level relative to the E, or E, in each material at 300 K. (d) The electron and hole concentrations and the Fermi level if both types of impurities are present in the same sample.

Modern Physics
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Chapter12: The Solid State
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An N-type sample of silicon has uniform density (N = 10¹9 cm-³) of arsenic, and a P-type
silicon sample has a uniform density (N₁ = 10¹5 cm-³) of boron. For each sample, determine
the following:
(a) The temperature at which the intrinsic concentration ni exceeds the impurity density by
factor of 10.
(b) The equilibrium minority-carrier concentrations at 300 K. Assume full ionization of
impurities.
(c) The Fermi level relative to the E, or E, in each material at 300 K.
(d)
The electron and hole concentrations and the Fermi level if both types of impurities are
present in the same sample.
Transcribed Image Text:An N-type sample of silicon has uniform density (N = 10¹9 cm-³) of arsenic, and a P-type silicon sample has a uniform density (N₁ = 10¹5 cm-³) of boron. For each sample, determine the following: (a) The temperature at which the intrinsic concentration ni exceeds the impurity density by factor of 10. (b) The equilibrium minority-carrier concentrations at 300 K. Assume full ionization of impurities. (c) The Fermi level relative to the E, or E, in each material at 300 K. (d) The electron and hole concentrations and the Fermi level if both types of impurities are present in the same sample.
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