GATE EC 2015 Set 3 — Question 43
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Electronic Devices → P-N Junction & Diodes → Junction Formation & Depletion
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Question
The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE?

Correct answer
(C) The potential difference across the depletion region is 700 mV
Solution
1.Identify Region Types: The electric field is related to the charge density by .
- For , the slope is positive, so , indicating an n-type region (positive donor ions).
- For , the slope is negative, so , indicating a p-type region (negative acceptor ions).
2.Doping Uniformity: Since the slopes of are constant in both regions, the charge densities are constant, implying uniform doping. Statement (B) is TRUE.
3.Potential Difference (): The built-in potential is the area under the curve.
Statement (C) claims 700 mV, which is NOT TRUE.4.Doping Concentration Ratio: From charge neutrality, .
If , then . Statement (D) is TRUE.Continue learning with Success Tracker
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