GATE EC 2019 Set 1 — Question 59
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Electronic Devices → P-N Junction & Diodes → Diode Equation & Resistance
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Question
In an ideal junction with an ideality factor of 1 at K, the magnitude of the reverse-bias voltage required to reach 75% of its reverse saturation current, rounded off to 2 decimal places, is ______ mV. [ J/K, J-s, C]
Correct answer
34 to 38
Solution
The diode current equation is given by:
For a reverse-biased junction, , where is the magnitude of the reverse-bias voltage.
The magnitude of the current is .
We are given that . Substituting this into the equation:
Taking the natural logarithm on both sides:
The thermal voltage at K is:
mV
Now, calculate :
mV
Rounding to 2 decimal places, we get 35.82 mV.
For a reverse-biased junction, , where is the magnitude of the reverse-bias voltage.
The magnitude of the current is .
We are given that . Substituting this into the equation:
Taking the natural logarithm on both sides:
The thermal voltage at K is:
mV
Now, calculate :
mV
Rounding to 2 decimal places, we get 35.82 mV.
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