Question

The donor density of an n-type Germanium sample is 10^21 per m^3. Find the Hall coefficient. 

6.25 x 10^-3

5.25 x 10^-3

4.25 x 10^-3

3.25 x 10^-3

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Answer 1

Answer:

5.25 × 10^-3 this is our Answer

Answer 2

Given:

Donor density $n=10^{21} m^{-3}$

To find:

Hall Coefficient $R_{H}=?$

Formula:

$R_{H}=\frac{1}{nq}$

Solution:

Hall coefficient is the ratio of electric field produced by a given amount of current density generated by magnetic field.

The formula for determining the hall coefficient is the ratio of electric field with product of current density with magnetic field.

It can also be determined by determining the reciprocal of product of carrier density with charge.

As we know that the charge of n-type semiconductor will be electrons and so, the charge is $q=1.602\times10^{-19}$

Charge carrier density is given as $n=10^{21}m^{-3}$

Then, the hall coefficient is

$R_{H}=\frac{1}{1.602\times10^{-19}\times10^{21} }\\R_{H}=\frac{1}{1.602\times10^{2} }\\R_{H}=\frac{10^{-2} }{1.602}\\R_{H}=0.625\times10^{-2}\\R_{H}=6.25\times10^{-3}$

So, the hall coefficient is $6.25\times10^{-3}$.

Final Answer:

The hall coefficient is $6.25\times10^{-3}$.