GATE EC 2020 Set 1 — Question 41
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Electronic Devices → P-N Junction & Diodes → Depletion & Diffusion Capacitance
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Question
A one-sided abrupt junction diode has a depletion capacitance of at a reverse bias of . The plot of versus the applied voltage for this diode is a straight line as shown in the figure below. The slope of the plot is \text{______} \times 10^{20}\text{ F}^{-2}\text{V}^{-1}.
- A.
- B.
- C.
- D.
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Correct answer
(MTA)
Solution
The depletion capacitance of an abrupt junction is given by:Taking the reciprocal and squaring both sides:The slope of the plot of versus the applied voltage is:From the graph, the line passes through the point . At a reverse bias of (), the capacitance is , which gives:The slope can be expressed using the two points and :Since the built-in potential is not specified in the problem statement or the figure, the slope cannot be uniquely determined. For typical values like , the slope is , and for , it is . Due to this missing information, the question was marked as 'Marks to All' (MTA).
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