Solving Current-Voltage Characteristic of P-N Diodes with ln i = ln i˚ + eV/2kT

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SUMMARY

The current-voltage characteristic of a forward-biased p-n diode can be analyzed using the equation ln i = ln i˚ + eV/2kT. To plot the current (i) against voltage (v) on semilog paper, curve-fitting software such as Origin or MATLAB is recommended. These tools facilitate the input of current and voltage values, automatically calculate the curve parameters, and derive the temperature (T) without requiring the constant current (i˚). This method simplifies the analysis for users lacking a strong physics background.

PREREQUISITES
  • Understanding of the p-n diode operation and characteristics
  • Familiarity with the equation ln i = ln i˚ + eV/2kT
  • Basic knowledge of curve-fitting techniques
  • Experience with software tools like Origin or MATLAB
NEXT STEPS
  • Learn how to use Origin for curve fitting in semiconductor analysis
  • Explore MATLAB's capabilities for plotting and data analysis
  • Study the physical constants involved: electronic charge (e), Boltzmann constant (k), and their significance in semiconductor physics
  • Investigate methods for extracting temperature (T) from current-voltage characteristics
USEFUL FOR

Students and researchers in physics and electrical engineering, particularly those focusing on semiconductor devices and their characteristics.

tallin_grady
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For the current-voltage characteristic of a p-n diode which is foward biased:

ln i = ln + eV/2kT

where i˚ = a constant current
e = electronic charge
k = Boltzmann constant
T = absolute electron temperature
i and v are current and voltage respectively, for which I have a series of values

I am supposed to plot i against v on semilog paper with i on the log scale, with T calculated from the graph without knowing i˚. Admittedly physics isn't my storng suit and I have thought about this for a long time and have gotten nowhere. I was wondering if somebody could tell me how I am supposed to do this?

Thanks,

Tallin
 
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The simplest way to plot the current-voltage characteristic of a p-n diode that is forward biased is to use a curve-fitting software package, such as Origin or MATLAB. This will allow you to easily enter your values of current and voltage and then fit a curve to the data. The equation for the curve (ln i = ln i˚ + eV/2kT) will be automatically calculated by the software, so you won't need to know the value of i˚. Additionally, the software will calculate values for T, k, and e from the fitted curve.
 

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