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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.
Q. A 60-Hz, six-pole, wye-connected, three-phase induction motor, with the parameters R 1 = R 2 = 0.025 and Xl 1 = Xl 2 = 0.125 , is controlled by variable-frequency control
Athree-phase,wye-connected, 220-V, 10-hp, 60- Hz, six-pole inductionmotor (using Figure 13.2.6 for notation) has the following parameters in ohms per phase referred to the stator:
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