Semiconductor diode (graph quesiton)

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SUMMARY

The discussion focuses on calculating the current (I) and resistance (R) of a semiconductor diode using the equation I = I_0(e^{|e|\Delta V / k_BT}-1). Participants clarify that the absolute temperature (T) values of 280K, 300K, and 320K are provided for calculations. A spreadsheet setup is recommended, where voltage (ΔV) increments from 0.400V to 0.600V at 0.005V intervals, with I calculated for each temperature. The results should be visualized in a scatterplot of R versus ΔV.

PREREQUISITES
  • Understanding of semiconductor physics and diode characteristics
  • Familiarity with the Boltzmann constant (k_B) and its application in thermal dynamics
  • Proficiency in spreadsheet software for data analysis and visualization
  • Knowledge of current-voltage (I-V) characteristics and their graphical representation
NEXT STEPS
  • Learn how to implement the diode equation in Excel or Google Sheets
  • Research the effects of temperature on semiconductor behavior
  • Explore advanced plotting techniques for visualizing I-V characteristics
  • Study the implications of the diode equation in real-world applications
USEFUL FOR

Students in electrical engineering, physics enthusiasts, and anyone involved in semiconductor research or applications will benefit from this discussion.

darksyesider
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Homework Statement




The current-voltage characteristic curve of a semiconductor diode as a function of temperature T is given by the equation: ##I = I_0(e^{|e|\Delta V / k_BT}-1)##
where e is the base of the natural logarithm.
|e| is the charge of an electron
k_B is the boltzmann's constant
and T is the absolute temperature.

Set up a spreadsheet to calculate I and R = ΔV/I for V = 0.400V to 0.600V at 0.005 V increments. Assume I_0 = 1.00nA. Scatterplot R versus ΔV for T = 280K, 300K, 320 K. Plot the temperatures.

Homework Equations



see above

The Attempt at a Solution



I don't get how you can set up a spreadsheet to calculate I….aren't we missing the value of T?
And if "T" is suppose to be the absolute temperature, wouldn't it be 0 K making the fraction undefined?
 
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darksyesider said:

Homework Statement




The current-voltage characteristic curve of a semiconductor diode as a function of temperature T is given by the equation: ##I = I_0(e^{|e|\Delta V / k_BT}-1)##
where e is the base of the natural logarithm.
|e| is the charge of an electron
k_B is the boltzmann's constant
and T is the absolute temperature.

Set up a spreadsheet to calculate I and R = ΔV/I for V = 0.400V to 0.600V at 0.005 V increments. Assume I_0 = 1.00nA. Scatterplot R versus ΔV for T = 280K, 300K, 320 K. Plot the temperatures.

Homework Equations



see above

The Attempt at a Solution



I don't get how you can set up a spreadsheet to calculate I….aren't we missing the value of T?
And if "T" is suppose to be the absolute temperature, wouldn't it be 0 K making the fraction undefined?

It looks like they want results for the 3 temperatures given. Maybe make the first column the voltage, then calculate I in 3 more columns, one for each temperature.

I don't get the bolded part of the question, though. Is that copied exactly from your assignment?
 

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