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For a sample of a pure germanium plate, ...

For a sample of a pure germanium plate, the following data is given at 300K. Plate area = 1 `cm^2`. Thickness = 0.3 mm, voltage applied across the faces = 2V. Concentration of free electrons, `n_I=2xx10^(19)m^(-3)`. Mobility of electrons `mu_e=0.36m^2//V-s`. Mobility of holes, `mu_e=0.17m^2//V-s`
Find the current produced in the specimen

A

0.13 A

B

0.11 A

C

1.1 A

D

1.13 A

Text Solution

Verified by Experts

The correct Answer is:
D
`I="neA"(mu_p+mu_n)E," "n=2xx10^(19)m^(-3)`
`e=1.6xx10^(-19)C" "A=1cm^2=10^(-4)m^2`
`E=V/d=(2V)/(0.3mm)=2/3xx10^4V//m," "mu_p=0.17m^2//V-s," "mu_n=0.36m^2//V-s`
`I=2xx10^(19)xx1.6xx10^(-19)xx10^(-4)(0.36+0.17)2/3xx10^4A," "I=1.13A`
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