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Molecular Chain (MIT, Princeton, Colorado)
Consider a one-dimensional chain consisting of N molecules which exist in two configurations, α, β, with corresponding energies and lengths α and β. The chain is focus to a tensile force f.
a) Write down the partition function ZN for the system.
b) Compute the average length (L) as a function f of and the temperature T.
c) Assume that anda>b. Evaluate the average length (L) in the absence of the tensile force f = 0 as a function of temperature. What are the high-temperature and low-temperature limits and what is the characteristic temperature at which the changeover between the two limits takes place?
d) Estimate the linear response function
Produce a universal argument to show that X>0.
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(a) Now consider a typical open-wire transmission line with parameters of R = 14 /mi, L = 4.6 mH/mi, C = 0.01 µF/mi, and G = 0.3×10 -6 S/mi. If the line operates at 1 kHz, find t
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Example of unlike coplaner parallel force''
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