H: Resistivity - Temperature Dependence - Semiconductors Bookmark this page For semiconductors the resistivity decreases

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H Resistivity Temperature Dependence Semiconductors Bookmark This Page For Semiconductors The Resistivity Decreases 1 (28.33 KiB) Viewed 139 times

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H: Resistivity - Temperature Dependence - Semiconductors Bookmark this page For semiconductors the resistivity decreases with increasing temperature because increasing temperature increases the probability electrons transition to the conduction band. Here we consider a simplified model for a semiconductors's resistivity. P(T) = Ae-IT The goal is to determine the linear approximation to the resistivity near the temperature To p(T) = po(1+a(T-To)).
Method 1- Expansion to Linear Order Method 1 expands the resistivity as a series in the small deviation of the temperature AT-T-To and, as you already saw in the expansion method for doing sensitivity analysis, keeps only the term linear in AT. Express as a Function in Delta T-Method 1 0/10 points (graded) Express the exact resistivity p(T) in the form given below. Enter responses using DeltaT for T-To. P(T)- Ae ( You have used 1 of 10 attempts x incorrect (0/0 points) for T. To for To. A for A, B for B. Temperature Coefficient of Resistivity-Method 1 points grade Calculate the resistivity temperature coefficient a Hint Expande 47 to first order in AT using the fact the Taylor series of the exponential function is
Temperature Coefficient of Resistivity - Method 1 0.0/10.0 points (graded) Calculate the resistivity temperature coefficient a. Hint: Expand e BAT to first order in AT using the fact the Taylor series of the exponential function is e-1+z/11+z²/21+.... Enter responses using T for T. TO for To. A for A, B for B. a= You have used 0 of 10 attempts Method 2-Derivative in Method 2 the derivative of the resistivity is evaluated at T To Temperature Coefficient of Resistivity - Method 2 0.0/10.0 points (grade Calculate the derivative of the resistivity with respect to temperature, and evaluate it at T To to find a Enter responses using T for T. TO for To A for A, B for B.
SMALL Method 2- Derivative In Method 2 the derivative of the resistivity is evaluated at T = To Temperature Coefficient of Resistivity - Method 2 0.0/10.0 points (graded) Calculate the derivative of the resistivity with respect to temperature, and evaluate it at T To to find a Enter responses using T for T, TO for To. A for A, B for B. (2) dr You have used 0 of 10 attempts R Save