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6. Table 6 shows a range of voltage values applied across a diode together with measurements of the corresponding value of current flowing through the diode. Use regression techniques to find the ideality factor of the diode and calculate the maximum error of a linear interpolation in the 0.9-1 V range compared to [2096] Table 6: Current as a function of voltage in a diode Voltage 0 0.1 0.0.3 0.4 0.5 0.60.7 0.8 0.91 Current 00 (mA) 0 0 0 0 0 0.07 0.93 12.01 159.19 NB: Equation of a diode: eV nkT exp- Where I is in milli-amperes, V is in Volts, n -ideality factor 6 Vot-1 lo = 1.00 × 10-9 mA kT

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Answer #1

from regression technique value of ideality factor = 1.65

OriginPro 8.6 32-bit -ClUsersl Gupta)Documents OriginLab185User Files UNTITLED - /Folderl/ - [Graph1] File Edit View Graph Data Analysis Gadgets Tools Format Window Help 唱: Ph Default: Arial 22 Project Explorer (1) UNTITLED ExpGrow1 y-yO+A1 exp((x-x0)/ti) Model Equation Reduced Folder1 ExpGrow1 Fit of Sheet1B 180 160 140 120 100 480 60 40 20 7.98562E-5 Chi-Sqr Adj. R-Squar Value Standard Err 0.00184 0.00305 A1 1.03036E t1 0387 1.10453E-5 NT.VS Bo Work Nor 58KB 1/7/2. Ta Work Hidd 9KB 1/7/2. Gr Graph Maxi 19KB 1/7/2. -20 0.0 0.2 0.4 0.6 0.8 1.0 V (Volts) Text[Attach to Layer and Scale): size(actual) = 22(22) AU:ON Dark Colors&Light Grids :Book1Sheet1lCol(B1:11 1:Graph111 Radian O Type here to search 452 PM 1/7/2019 5gnuplot File Plot Expressions Functions General Axes Chart Styles 3D Help ra Replot Open 묘 Save Ey ChDir刍Print刍prtSc 6 Prev () Net ฐ Options ▼ Enuplot> i_e 1.0 10**(-9) gnuplot> C38.68 Enuplot> f(x)- ie (exp(c/n)-1.0e) gnuplot> fit f(x) data.txt via n invalid expression gnuplot> fit f(x) data.txt via n iter chisq delta/lim lambda n 4.3492421567e+16 e.00e+00 2.38e+09 1.80090e8e+08 1 7.0000026455c+15-5.21c+85 2.38c+08 1.824184c+80 29.7189286762e 14 -6.20e+85 2.38e+07 1.851674e+08 3 1.3377942309c+14 -6.26c+85 2.38c+06 1.080811c+80 4 1.8442987232e+13 -6.25e+85 2.38e+05 1.111584e+08 5 2.5487448657c+12-6.24c05 2.38c+04 1.144119c+00 6 3.5312642826e+11 -6.22e+85 2.38e+03 1.178569e+08 7 4.9052676301c+10 -6.20c+85 2.38c+02 1.215185c+80 8 6.8313885894e-99 -6.18e+05 2.38e+01 1.253917e+08 9 9.5360174793c+08-6.16c 05 2.38c+00 1.295211c+00 1e 1.3332827827e+88-6.15e+85 2.38e-01 1.339282e+08 11 1.8641077781e+07-6, 15e+85 2.38e-82 1.38697 7e+08 12 2.6837957778e+86-6.16+85 2.38e-03 1.435892e+08 13 3.7164486713e+05-6.81e+85 2.38e-84 1.488278e+08 14 6.6625978992e+84 -4.58e+85 2.38e-05 1.541654e+08 IS 2.7286962097e+04-1.44e+85 2.38e-86 1.591559e+08 16 2.3852623652e+84 -1.84+84 2.38e-07 1.628955e+08 17 2.2793892108e+04-1.14e+83 2.38e-88 1.645464e+08 18 2.2799853358e+84 -1.33e+01 2.3e-89 1.647767e+08 19 2.279885327 3e+04-3.48e-84 2.38e-10 1.647779e+08 iter chisq delta/lim lambda n After 19 iterations the fit converged final sum of squares of residuals 22790.9 rel. change during last iteration3.39936e-009 degrees of freedon (FIT NDF) rns of residuals variance of residuals (reduced chisquare)WSSR/ndf (FIT-STOFİT) -sqrt (WSSR/ndf) 47.7398 2279.09 : Final set of paraneters Asymptotic Standard Error 1 . 64778 +0.86537 (3-967%) Enuplot> p data.txt w p,f(x) w 1 gnuplot> p f(x), data.txt w l Enuplot> O Type here to search 453 PM 1/7/2019 5

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