GATE EC 2017 Set 1 — Question 10
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Electronic Devices → P-N Junction & Diodes → Built-In Potential
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Question
An Silicon device is fabricated with uniform and non-degenerate donor doping concentrations of and corresponding to the and regions respectively. At the operational temperature , assume complete impurity ionization, , and intrinsic carrier concentration to be . What is the magnitude of the built-in potential of this device?
Correct answer
(D) 0.173 V
Solution
The built-in potential () for an junction (which is essentially a homojunction with different doping levels) can be calculated using the formula:Given:
Substitute the values into the formula:Using :Rounding to three decimal places, .Therefore, the magnitude of the built-in potential is approximately 0.173 V.The final answer is
Substitute the values into the formula:Using :Rounding to three decimal places, .Therefore, the magnitude of the built-in potential is approximately 0.173 V.The final answer is
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