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Calculate the thermal equilibrium concentrations of electrons and holes for a given Fermi energy. The values for Nc and Nv for silicon at 300K are 2.8 � 1019cm−3 and 1.04 � 1019cm−3 . Assume that the Fermi energy is 0.30 eV below the conduction band and band gap energy is 1.24eV.?
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Calculate the thermal equilibrium concentrations of electrons and hole...
Calculation of thermal equilibrium concentrations of electrons and holes
  1. Given data:

  2. - Nc = 2.8 × 10^19 cm^−3
    - Nv = 1.04 × 10^19 cm^−3
    - Fermi energy (Ef) = 0.30 eV below the conduction band
    - Band gap energy (Eg) = 1.24 eV
    - Temperature (T) = 300K
  3. Calculation of thermal equilibrium concentrations:

  4. - The thermal equilibrium concentrations of electrons (n) and holes (p) can be calculated using the formula:
    n = Nc * exp((Ef - Ec) / kT)
    p = Nv * exp((Ev - Ef) / kT)
    - Given Ef = Ec - 0.30 eV and Eg = Ec - Ev, we can calculate Ec and Ev:
    Ec = Ef + 0.30 eV
    Ev = Ec - Eg
    - Substituting the values in the formulas, we get:
    n = 2.8 × 10^19 * exp((0.30) / (k * 300))
    p = 1.04 × 10^19 * exp((1.24 - 0.30) / (k * 300))
    - The value of k is the Boltzmann constant (8.617 × 10^-5 eV/K)
    - By solving the above equations, we can find the thermal equilibrium concentrations of electrons and holes for the given Fermi energy and temperature.

This calculation helps in understanding the behavior of charge carriers in a semiconductor material at thermal equilibrium.
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Calculate the thermal equilibrium concentrations of electrons and holes for a given Fermi energy. The values for Nc and Nv for silicon at 300K are 2.8 � 1019cm−3 and 1.04 � 1019cm−3 . Assume that the Fermi energy is 0.30 eV below the conduction band and band gap energy is 1.24eV.?
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Calculate the thermal equilibrium concentrations of electrons and holes for a given Fermi energy. The values for Nc and Nv for silicon at 300K are 2.8 � 1019cm−3 and 1.04 � 1019cm−3 . Assume that the Fermi energy is 0.30 eV below the conduction band and band gap energy is 1.24eV.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Calculate the thermal equilibrium concentrations of electrons and holes for a given Fermi energy. The values for Nc and Nv for silicon at 300K are 2.8 � 1019cm−3 and 1.04 � 1019cm−3 . Assume that the Fermi energy is 0.30 eV below the conduction band and band gap energy is 1.24eV.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the thermal equilibrium concentrations of electrons and holes for a given Fermi energy. The values for Nc and Nv for silicon at 300K are 2.8 � 1019cm−3 and 1.04 � 1019cm−3 . Assume that the Fermi energy is 0.30 eV below the conduction band and band gap energy is 1.24eV.?.
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