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  4. In sample of pure silicon 1013 atom / cm 3 is mixed of phosphorus. If all donor atoms are active then what will be resistivity at 20° C if mobility of electron is 1200 cm 2 / volt-s :-

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Q. In sample of pure silicon $10^{13} \,atom / cm ^{3}$ is mixed of phosphorus. If all donor atoms are active then what will be resistivity at $20^{\circ} C$ if mobility of electron is $1200 \,cm ^{2} /$ volt-s :-

Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

No. of free $e^{-}=$Impurity donor concentration
$\sigma=\mu_{e} n _{e} e=\mu_{e} N _{ D } e$
and $\quad \rho=\frac{1}{\sigma}=\frac{1}{\mu_{e} N_{ D } e}$
$\rho=\frac{1}{1200 \times 10^{13} \times 1.6 \times 10^{-19}}=520.9 $ ohm cm