GATE EC 2016 Set 3 — Question 48
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Question
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials X (of thickness and dielectric constant ) and Y (of thickness and dielectric constant ). The capacitor in Figure II has only insulator material X of thickness . If the capacitors are of equal capacitance, then the value of (in nm) is __________
Correct answer
1.55 to 1.65
Solution
The capacitance per unit area for a multi-layer dielectric is given by the series combination of individual capacitances:
For Figure II, the capacitance is:
Given :
The value falls within the range 1.55 to 1.65.
For Figure II, the capacitance is:
Given :
The value falls within the range 1.55 to 1.65.
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