The energy band diagram and the electron density profile n(x) in a semiconductor are shown in the figures. Assume that n (x) = 10_{e}^{15} (\frac{qax}{kT}) cm^{−3}, with \alpha = 0.1V\/ cm and x expressed in cm. Given \frac{kT}{q} = 0.026V,\:D_{n} = 36cm^{2}s^{−1},\:and\frac{D}{\mu } = \frac{kT}{q}. The electron current density (in A/cm 2 ) at x = 0 is

GATE Electronics and Communications (EC) 2015 Shift 2 Solved Paper

Question : 45 of 65

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The energy band diagram and the electron density profile n(x) in a semiconductor are shown in the figures. Assume that

n (x) = 10_{e}^{15} (\;{qax}/{kT}) cm^{−3}

, with

α = 0.1V\/ cm

and x expressed in cm. Given

\;{kT}/{q} = 0.026V,\:D_{n} = 36cm^{2}s^{−1},\:and\;{D}/{µ\;} = \;{kT}/{q}

. The electron current density (in A/cm²) at x = 0 is

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