The electron concentration in a sample of uniformly doped n – type silicon at 3000 K varies linearly from 10^17/^3 = 0 6 × 10^16/^3 = 2. Assume a situation that electrons are supplied to keep this concentration gradient constant with time. If electronic charge is 1.6 × 10^-19 coulomb and the diffusion constant = 35 ^2/, the current density in the silicon, if no electric field is present is
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Answer:
option d)
Explanation:
n
1
=10
17
/cm
3
x
1
=0
n_{2} = 6\times 10^{16}/ cm^{3} \:\:\:\:\:x_{2} = 2\mu mn
2
=6×10
16
/cm
3
x
2
=2μm
q = 1.6 \times 10^{-19}cq=1.6×10
−19
c
D_{n} = 35\, cm^{2}/D
n
=35cm
2
/ sec
J=qD_{n}\frac{dn}{dx}=1.6\times 10^{-19}\times 35\times [\frac{6\times 10^{16}\,-\,10^{17}}{2\times 10^{-4}}]J=qD
n
dx
dn
=1.6×10
−19
×35×[
2×10
−4
6×10
16
−10
17
]
J = – 1120\, A / cm^{2}J=–1120A/cm
2
Hence, the correct option is (d)
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