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Physics Question on Semiconductor electronics: materials, devices and simple circuits

The intrinsic carrier concentration of silicon sample at 300 K300\, K is 1.5×1016 m−31.5 \times 10^{16}\, m^{-3} . What is the density of minority carrier ? (after doping, the number of majority carriers is 5×1020 m−35 \times 10^{20}\, m^{-3} )

A

4.5×1011 m−34.5 \times 10^{11}\,m^{-3}

B

3.3×104 m−33.3 \times 10^{4}\,m^{-3}

C

5×1020 m−35 \times 10^{20}\,m^{-3}

D

3×10−5 m−33 \times 10^{-5}\,m^{-3}

Answer

4.5×1011 m−34.5 \times 10^{11}\,m^{-3}

Explanation

Solution

ni=1.5×1016m−3;n_{i}=1.5\times10^{16} m^{-3};
no=5×1020m−3n_{o}=5\times10^{20} m^{-3}
po=ni2no=(1.5×1016m−3)25×1020m−3p_{o}=\frac{n_{i}^{2}}{n_{o}}=\frac{\left(1.5\times10^{16}m^{-3}\right)^{2}}{5\times10^{20} m^{-3}}
=4.5×1011m−3=4.5\times10^{11} m^{-3}