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

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To plot the current-voltage characteristic of a forward-biased p-n diode using the equation ln i = ln i˚ + eV/2kT, one can utilize curve-fitting software like Origin or MATLAB. This approach allows for easy input of current and voltage values, with the software automatically calculating the curve and the necessary parameters, including T, without needing the value of i˚. By plotting i on a logarithmic scale against v, the relationship can be visualized effectively. This method simplifies the process for those who may struggle with the physics involved. Using software tools can significantly enhance accuracy and efficiency in analyzing diode 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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