GATE EC 2016 Set 3 — Question 47
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Electronic Devices → BJT → Diffusion & Drift Current
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Question
The injected excess electron concentration profile in the base region of an npn BJT, biased in the active region, is linear, as shown in the figure. If the area of the emitter-base junction is , in the base region and depletion layer widths are negligible, then the collector current (in mA) at room temperature is __________(Given: thermal voltage at room temperature, electronic charge )
Correct answer
6.55 to 6.75
Solution
The collector current in an npn BJT is given by the diffusion current formula:
The value falls within the range 6.55 to 6.75.
1.Calculate the diffusion constant using the Einstein relation:
2.Determine the concentration gradient from the linear profile shown in the figure:
3.Substitute the values into the formula:
The value falls within the range 6.55 to 6.75.
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