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The intrinsic conductivity of germanium at \mathrm{27{^{\circ}}}  is \mathrm{2.13\; mho\; m^{-1}}  and mobilities of electrons and holes are 0.38 and\mathrm{0.18\; m^{2}Vs^-1} respectively. The density of charge carriers is

Option: 1

\mathrm{2.37 \times 10^{19} \mathrm{~m}^{-3} \quad}


Option: 2

\mathrm{3.28 \times 10^{19} \mathrm{~m}^{-3}}


Option: 3

\mathrm{7.83 \times 10^{19} \mathrm{~m}^{-3}}


Option: 4

\mathrm{8.47 \times 10^{19} \mathrm{~m}^{-3}}


Answers (1)

best_answer

Conductivity, \mathrm{\sigma=\frac{1}{\rho}=e\left(n_e \mu_e+n_h \mu_b\right) \text { i.e, } 2.13=1.6 \times 10^{-19}(0.38+0.18) n_i}

(Since in intrinsic semi-conductor, \mathrm{\mathrm{n}_{\mathrm{e}}=\mathrm{n}_{\mathrm{h}}=\mathrm{n}_{\mathrm{i}}} )

\mathrm{\therefore }  density of charge carriers, \mathrm{\mathrm{n}_{\mathrm{i}}=\frac{2.13}{1.6 \times 10^{-19} \times 0.56}=2.37 \times 10^{19} \mathrm{~m}^{-3} }

Posted by

manish painkra

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