GATE EC 2017 Set 1 — Question 36
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Electronic Devices → Carrier Transport → Diffusion & Drift Current
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Question
The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of and electronic charge . If a bias of is applied across a region of this semiconductor, the resulting current density in this region, in , is ________.
Correct answer
1.5 to 1.7
Solution
1.Calculate the applied electric field ():
2.Determine drift velocity () from the graph:
The graph shows drift velocity is linear up to a saturation point. The saturation velocity is reached at an electric field .Since our applied field is less than , the electron is in the linear region.
The mobility is:
The drift velocity at is:
3.Calculate current density ():
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