MATLAB: AN INTRODUCTION WITH APPLICATIO
MATLAB: AN INTRODUCTION WITH APPLICATIO
6th Edition
ISBN: 9781119626596
Author: GILAT
Publisher: WILEY
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Chapter 8, Problem 29P

Estimated values of thermal conductivity of silicon at different temperatures are given in the following table.

    T(K) 2 4 6 8 10 20 40 60
    k(W/m-K) 46 300 820 1,560 2,300 5,000 3,500 2,100
    T(K) 80 100 150 250 350 500 1,000 1,400
    k(W/m-K) 1,350 900 400 190 120 75 30 20

(a) Make a plot of k versus T using log scale on both axes.

(b) Curve-fit the data vith a second-order polynomial y = ax2+ bx + C in which x = log(T) and y = log(k). Once the coefficients a, b, and c are determined, write an equation for k as a function of log(T). Use this equation for curve-fitting the data. Make a second plot that shows the data points with markers and the curve-fitted equation with a solid line.

(c) Repeat part (b) using a third-order polynomial.

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MATLAB: AN INTRODUCTION WITH APPLICATIO

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