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A germanium sample at T = 300 K is doped with donor atoms with concentration Nd = 6 x 1018/cm3. At thermal equilibrium, if the intrinsic concentration of the sample is ni = 2.4 x 1013/cm3, then the hole concentration/cm3 is ___ × 106 (Answer up to the nearest integer)
    Correct answer is '96'. Can you explain this answer?
    Most Upvoted Answer
    A germanium sample at T = 300 K is doped with donor atoms with concen...
    Given information:
    - Temperature (T) = 300 K
    - Donor concentration (Nd) = 6 x 10^18/cm^3
    - Intrinsic concentration (ni) = 2.4 x 10^13/cm^3

    Introduction:
    In a semiconductor material like germanium, doping is done to modify its electrical properties. Doping involves adding impurity atoms to the crystal lattice, which introduces extra charge carriers. These charge carriers can be either electrons (from donor atoms) or holes (resulting from the absence of electrons).

    Intrinsic concentration:
    The intrinsic concentration (ni) represents the concentration of electrons and holes in an undoped (intrinsic) semiconductor at thermal equilibrium. In an intrinsic semiconductor, the number of electrons and holes is equal, and their concentrations are given by ni.

    Doping:
    Doping introduces impurity atoms into the semiconductor crystal, which can either donate or accept electrons. In this case, the germanium sample is doped with donor atoms, which means the impurity atoms donate extra electrons to the crystal lattice.

    Hole concentration:
    In a doped semiconductor, the concentration of holes (p) can be calculated using the equation:

    p = ni^2 / Nd

    where:
    p = hole concentration
    ni = intrinsic concentration
    Nd = donor concentration

    Calculating hole concentration:
    Substituting the given values into the equation:

    p = (2.4 x 10^13/cm^3)^2 / (6 x 10^18/cm^3)
    = (5.76 x 10^26/cm^6) / (6 x 10^18/cm^3)
    = 9.6 x 10^7/cm^3

    Rounding to the nearest integer:
    The calculated hole concentration is 9.6 x 10^7/cm^3. Rounding this to the nearest integer gives the answer as 96 x 10^6/cm^3, which is approximately 96 x 10^6/cm^3.

    Final answer:
    The hole concentration in the germanium sample is approximately 96 x 10^6/cm^3.
    Free Test
    Community Answer
    A germanium sample at T = 300 K is doped with donor atoms with concen...
    N0p0 = n2i
    n0 ≈ ND
    p0 = (2.42 x 1026)/(6 x 1018) = 0.96 × 108/cm3 = 96 × 106/cm3
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    A germanium sample at T = 300 K is doped with donor atoms with concentration Nd = 6 x 1018/cm3. At thermal equilibrium, if the intrinsic concentration of the sample is ni = 2.4 x 1013/cm3, then the hole concentration/cm3 is ___ × 106 (Answer up to the nearest integer)Correct answer is '96'. Can you explain this answer?
    Question Description
    A germanium sample at T = 300 K is doped with donor atoms with concentration Nd = 6 x 1018/cm3. At thermal equilibrium, if the intrinsic concentration of the sample is ni = 2.4 x 1013/cm3, then the hole concentration/cm3 is ___ × 106 (Answer up to the nearest integer)Correct answer is '96'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A germanium sample at T = 300 K is doped with donor atoms with concentration Nd = 6 x 1018/cm3. At thermal equilibrium, if the intrinsic concentration of the sample is ni = 2.4 x 1013/cm3, then the hole concentration/cm3 is ___ × 106 (Answer up to the nearest integer)Correct answer is '96'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A germanium sample at T = 300 K is doped with donor atoms with concentration Nd = 6 x 1018/cm3. At thermal equilibrium, if the intrinsic concentration of the sample is ni = 2.4 x 1013/cm3, then the hole concentration/cm3 is ___ × 106 (Answer up to the nearest integer)Correct answer is '96'. Can you explain this answer?.
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