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H: Resistivity - Temperature Dependence - Metals Bookmark this page For metals the resistivity increases with increasing temperature because increasing temperature increases the probability conduction electrons interact with the lattice. Here we consider a simplified model for a metal's resistivity. p(T) = AT™ The goal is to determine the linear approximation to the resistivity near the temperature To p(T)-(1+a(T-T.)).
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(7) in the form given below. Enter responses using Deltat for T-To. To for To. A for A (T) = AT (1+ -T/T,0 T To SUBMIT you have used 1 of 10 attempts o invalid input: 1T not permitted in answer as a variable Temperature Coefficient of Resistivity-Method 11 Calculate the resistivity temperature coefficient a Hint Expand (1+AT/T)" to first order in AT using the binomial series expansion van
Temperature Coefficient of Resistivity - Method 1 0.0/10.0 points (graded) Calculate the resistivity temperature coefficient a. Hint: Expand (1+AT/To)" to first order in AT using the binomial series expansion (1+z)"=1+nz + n(n-1) 21 Enter responses using T for T, TO for To. A for A. n for n. a= SUBMIT You have used 0 of 10 attempts Method 2- Derivative In Method 2 the derivative of the resistivity is evaluated at T-T₁ Temperature Coefficient of Resistivity-Method 2 0.0/100 points graded 2²+... che no Sove
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. n for n. 4(7) AT You have used 0 of 10 attempts < Previous Next >>