GATE EC 2015 Set 2 — Question 44
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Electronic Devices → MOS Capacitor & MOSFET → C-V Characteristics
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Question
In a MOS capacitor with an oxide layer thickness of , the maximum depletion layer thickness is . The permittivities of the semiconductor and the oxide layer are and respectively. Assuming , the ratio of the maximum capacitance to the minimum capacitance of this MOS capacitor is ___________.
Correct answer
4.3 to 4.4
Solution
The maximum capacitance of a MOS capacitor is the oxide capacitance :The minimum capacitance occurs when the depletion layer is at its maximum thickness :where is the depletion layer capacitance. The ratio of maximum to minimum capacitance is:Given:
- Oxide thickness
- Maximum depletion layer thickness
- Ratio of permittivities
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