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The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.?
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The Hall coefficient of certain Si specimen was found to be -7.35 × 10...
Given data:
Hall coefficient of Si specimen = -7.35 × 10-5m³ C-1
Temperature range = 100 K to 400 K
Conductivity = 200 2-¹m-¹
Determining the type of semiconductor:
The sign of the Hall coefficient gives the information about the type of semiconductor. If the sign of the Hall coefficient is negative, then the semiconductor is an n-type semiconductor. If the sign of the Hall coefficient is positive, then the semiconductor is a p-type semiconductor.
In this case, the Hall coefficient is negative, which means that the semiconductor is an n-type semiconductor.
Calculating the density of charge carriers:
The formula for the density of charge carriers is given by:
n = 1/eRH
where,
n = density of charge carriers
e = electronic charge = 1.6 × 10-19 C
RH = Hall coefficient
Substituting the given values, we get:
n = 1/(1.6 × 10-19 × (-7.35 × 10-5))
n = 8.58 × 10^19 m^-3
Therefore, the density of charge carriers in the n-type Si semiconductor is 8.58 × 10^19 m^-3.
Calculating the mobility of charge carriers:
The formula for the mobility of charge carriers is given by:
μ = σ/ne
where,
μ = mobility of charge carriers
σ = conductivity
n = density of charge carriers
e = electronic charge = 1.6 × 10-19 C
Substituting the given values, we get:
μ = (200 × 10^-4)/(1.6 × 10^-19 × 8.58 × 10^19)
μ = 1.43 × 10^-3 m² V^-1 s^-1
Therefore, the mobility of charge carriers in the n-type Si semiconductor is 1.43 × 10^-3 m² V^-1 s^-1.
In summary:
- The Si specimen is an n-type semiconductor.
- The density of charge carriers is 8.58 × 10^19 m^-3.
- The mobility of charge carriers is 1.43 × 10^-3 m² V^-1 s^-1.
Hall coefficient of Si specimen = -7.35 × 10-5m³ C-1
Temperature range = 100 K to 400 K
Conductivity = 200 2-¹m-¹
Determining the type of semiconductor:
The sign of the Hall coefficient gives the information about the type of semiconductor. If the sign of the Hall coefficient is negative, then the semiconductor is an n-type semiconductor. If the sign of the Hall coefficient is positive, then the semiconductor is a p-type semiconductor.
In this case, the Hall coefficient is negative, which means that the semiconductor is an n-type semiconductor.
Calculating the density of charge carriers:
The formula for the density of charge carriers is given by:
n = 1/eRH
where,
n = density of charge carriers
e = electronic charge = 1.6 × 10-19 C
RH = Hall coefficient
Substituting the given values, we get:
n = 1/(1.6 × 10-19 × (-7.35 × 10-5))
n = 8.58 × 10^19 m^-3
Therefore, the density of charge carriers in the n-type Si semiconductor is 8.58 × 10^19 m^-3.
Calculating the mobility of charge carriers:
The formula for the mobility of charge carriers is given by:
μ = σ/ne
where,
μ = mobility of charge carriers
σ = conductivity
n = density of charge carriers
e = electronic charge = 1.6 × 10-19 C
Substituting the given values, we get:
μ = (200 × 10^-4)/(1.6 × 10^-19 × 8.58 × 10^19)
μ = 1.43 × 10^-3 m² V^-1 s^-1
Therefore, the mobility of charge carriers in the n-type Si semiconductor is 1.43 × 10^-3 m² V^-1 s^-1.
In summary:
- The Si specimen is an n-type semiconductor.
- The density of charge carriers is 8.58 × 10^19 m^-3.
- The mobility of charge carriers is 1.43 × 10^-3 m² V^-1 s^-1.
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The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.?
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The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.?.
The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Hall coefficient of certain Si specimen was found to be -7.35 × 10-5m³ C-1 from 100 K to 400 K. Determine the nature of semiconductor if conductivity was found to be 200 2-¹m-¹. Calculate the density and mobility of charge carrier.?.
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