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GATE EC 2015 Set 2 — Question 45

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MCQ+2 / -0.67MediumDiffusion & Drift CurrentCarrier TransportElectronic Devices

Electronic Devices → Carrier Transport → Diffusion & Drift Current

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Question

The energy band diagram and the electron density profile n(x)n(x) in a semiconductor are shown in the figures. Assume that n(x)=1015e(qαxkT) cm−3n(x) = 10^{15} e^{\left(\frac{q \alpha x}{k T}\right)} \text{ cm}^{-3}, with α=0.1 V/cm\alpha = 0.1 \text{ V/cm} and xx expressed in cm. Given kTq=0.026 V\frac{k T}{q} = 0.026 \text{ V}, Dn=36 cm2s−1D_n = 36 \text{ cm}^2\text{s}^{-1}, and Dμ=kTq\frac{D}{\mu} = \frac{k T}{q}. The electron current density (in A/cm2\text{A/cm}^2) at x=0x = 0 is
Energy band diagram and electron density profile
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