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Suppose a pure Si-crystal has 5xx10^(28)...

Suppose a pure Si-crystal has `5xx10^(28) "atoms" m^(-3)`. It is doped by 1 ppm concentration of pentavalent As. Calculate the number of electrons and holes. Give that `n_(i)=1.5xx10^(16)m^(-3)`.

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To solve the problem, we need to calculate the number of electrons and holes in a silicon crystal that has been doped with arsenic. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand the Given Data - The concentration of silicon atoms in the crystal is given as \( N_{Si} = 5 \times 10^{28} \, \text{atoms/m}^3 \). - The doping concentration of arsenic (As), which is a pentavalent impurity, is given as \( 1 \, \text{ppm} \). - The intrinsic carrier concentration of silicon is given as \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \). ### Step 2: Convert ppm to a Fraction ...
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Knowledge Check

  • A piece of pure semiconductor of silicn of size 1cm xx 1 cm xx 1 mm is having 5 xx 10^(28) number of atoms per cubic metre. It is doped simultaneously with 5 xx 10^(22) atoms per m^(3) of aresenic adn 5 xx 10^(20) per m^(3) atoms of indium. The number density of intrisic current carrier (electrons adn holes) in the pure silicon semiconductor is 1.5 xx 10^(16) m^(-3) . Mobility of electron is 3800 cm^(2) V^(-)S^(-1) Ratio of conductivity of doped silicon and pure silicon semiconductor is

    A
    `2.2xx10^(6)`
    B
    `3.3xx10^(6)`
    C
    `2.2xx10^(8)`
    D
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  • A piece of pure semiconductor of silicn of size 1cm xx 1 cm xx 1 mm is having 5 xx 10^(28) number of atoms per cubic metre. It is doped simultaneously with 5 xx 10^(22) atoms per m^(3) of aresenic adn 5 xx 10^(20) per m^(3) atoms of indium. The number density of intrisic current carrier (electrons adn holes) in the pure silicon semiconductor is 1.5 xx 10^(16) m^(-3) . Mobility of electron is 3800 cm^(2) V^(-)S^(-1) The conductivity of doped semiconductor (in Sm^(-1)) is

    A
    `2xx10^(3)`
    B
    `3xx10^(3)`
    C
    `4xx10^(3)`
    D
    `1xx10^(3)`
  • A piece of pure semiconductor of silicn of size 1cm xx 1 cm xx 1 mm is having 5 xx 10^(28) number of atoms per cubic metre. It is doped simultaneously with 5 xx 10^(22) atoms per m^(3) of aresenic adn 5 xx 10^(20) per m^(3) atoms of indium. The number density of intrisic current carrier (electrons adn holes) in the pure silicon semiconductor is 1.5 xx 10^(16) m^(-3) . Mobility of electron is 3800 cm^(2) V^(-)S^(-1) The number of holes in this semiconductor are

    A
    `5.0xx10^(20)`
    B
    `4.54xx10^(13)`
    C
    `4.54xx10^(9)`
    D
    `4.54xx10^(2)`
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