First slide

Classification of semi-conductors

Question

Pure Si at 300 K has equal electron ( $n_{e}$ ) and hole ( $n_{h}$ ) concentration of $1.5 \times 10^{16} m^{- 3}$ . It is doped with $4.5 \times 10^{22} m^{- 3}$ Indium. Calculate $n_{e}$ in the doped Silicon

Moderate

A

$5 \times 10^{10} m^{- 3}$
B

$5 \times 10^{9} m^{- 3}$
C

$3 \times 10^{6} m^{- 3}$
D

$3 \times 10^{7} m^{- 3}$

Solution

for any extrinsic semiconductor ${(n_{i})}^{2} = n_{e} n_{h} here n_{i} = 1.5 \times 10^{16} m^{- 3} and n_{h} = 4.5 \times 10^{22} m^{- 3}$
$n_{e} = \frac{1.5 \times 10^{16} \times 1.5 \times 10^{16}}{4.5 \times 10^{22}} = 5 \times 10^{9}$

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