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A silicon diode has saturation current of 6 nA, at 25°C. The saturation current at 100°C is
- a)768 nA
- b)982 nA
- c)1077 nA
- d)1152 nA
Correct answer is option 'C'. Can you explain this answer?
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A silicon diode has saturation current of 6 nA, at 25°C. The satu...
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A silicon diode has saturation current of 6 nA, at 25°C. The satu...
Given information:
- Saturation current of a silicon diode at 25°C = 6 nA
- Temperature at which the saturation current needs to be found = 100°C
To find: Saturation current of the silicon diode at 100°C
Solution:
1. Using the equation for temperature dependence of saturation current:
Is = Is(25°C) * (T/298)^3 * exp(qV/kt)
where,
Is(25°C) = Saturation current at 25°C
T = Temperature in Kelvin
q = Charge on an electron (1.6 x 10^-19 C)
V = Voltage across the diode
k = Boltzmann constant (1.38 x 10^-23 J/K)
2. Converting the given temperature values to Kelvin:
Temperature at 25°C = 25 + 273 = 298 K
Temperature at 100°C = 100 + 273 = 373 K
3. Substituting the given values in the equation:
Is(100°C) = 6 nA * (373/298)^3 * exp(qV/kt)
4. Since the voltage across the diode is not given, assuming it to be 0.7 V (typical value for a silicon diode):
Is(100°C) = 6 nA * (373/298)^3 * exp(0.7*q/k*373)
5. Evaluating the exponential term:
exp(0.7*q/k*373) = exp(0.7*1.6*10^-19/1.38*10^-23*373)
= 1.80 x 10^10
6. Substituting this value in the equation:
Is(100°C) = 6 nA * (373/298)^3 * 1.80 x 10^10
= 1077 nA
Therefore, the saturation current of the silicon diode at 100°C is 1077 nA.
Answer: Option (c)
- Saturation current of a silicon diode at 25°C = 6 nA
- Temperature at which the saturation current needs to be found = 100°C
To find: Saturation current of the silicon diode at 100°C
Solution:
1. Using the equation for temperature dependence of saturation current:
Is = Is(25°C) * (T/298)^3 * exp(qV/kt)
where,
Is(25°C) = Saturation current at 25°C
T = Temperature in Kelvin
q = Charge on an electron (1.6 x 10^-19 C)
V = Voltage across the diode
k = Boltzmann constant (1.38 x 10^-23 J/K)
2. Converting the given temperature values to Kelvin:
Temperature at 25°C = 25 + 273 = 298 K
Temperature at 100°C = 100 + 273 = 373 K
3. Substituting the given values in the equation:
Is(100°C) = 6 nA * (373/298)^3 * exp(qV/kt)
4. Since the voltage across the diode is not given, assuming it to be 0.7 V (typical value for a silicon diode):
Is(100°C) = 6 nA * (373/298)^3 * exp(0.7*q/k*373)
5. Evaluating the exponential term:
exp(0.7*q/k*373) = exp(0.7*1.6*10^-19/1.38*10^-23*373)
= 1.80 x 10^10
6. Substituting this value in the equation:
Is(100°C) = 6 nA * (373/298)^3 * 1.80 x 10^10
= 1077 nA
Therefore, the saturation current of the silicon diode at 100°C is 1077 nA.
Answer: Option (c)
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A silicon diode has saturation current of 6 nA, at 25°C. The satu...
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A silicon diode has saturation current of 6 nA, at 25°C. The saturation current at 100°C isa)768 nA b)982 nAc)1077 nA d)1152 nACorrect answer is option 'C'. Can you explain this answer?
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