GATE EC 2016 Set 2 — Question 45
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Electronic Devices → MOS Capacitor & MOSFET → MOS Capacitor (Accum, Depl, Inv)
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Question
A voltage is applied across a MOS capacitor with metal gate and p-type silicon substrate at K. The inversion carrier density (in number of carriers per unit area) for V is . For V, the inversion carrier density is . What is the value of the inversion carrier density for V?
Correct answer
(B) 6.0 × 10¹¹ cm⁻²
Solution
The inversion charge density in a MOS capacitor is given by:
for
The inversion carrier density is proportional to :
Given:
1)
2) Dividing (2) by (1):
Now, find from (1):
For :
for
The inversion carrier density is proportional to :
Given:
1)
2) Dividing (2) by (1):
Now, find from (1):
For :
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