GATE EC 2016 Set 1 — Question 48
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Electronic Devices → Carrier Transport → Diffusion & Drift Current
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Question
The figure below shows the doping distribution in a -type semiconductor in log scale.
The magnitude of the electric field (in kV/cm) in the semiconductor due to non uniform doping is _________
Correct answer
1.1 to 1.25
Solution
1.Determine the doping profile :
From the provided log-scale graph, the doping concentration is linear on a logarithmic scale.At ,
At ,
The equation for the line in log-space is:
Thus, .
2.Calculate the Electric Field:
The built-in electric field due to a non-uniform doping profile is given by:Converting the base-10 logarithm to a natural logarithm:
Differentiating with respect to :
3.Numerical Evaluation:
Using the thermal voltage and :4.Unit Conversion:
To convert to kV/cm:The official answer range is 1.10 to 1.25.
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