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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.
Guarding Against Losses in Service Cables and Connections The service cables to consumer premises are often a source of loss that can be reduced given below. The length of ser
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In order to demonstrate aliasing, make a plot of the signal x(t) = 3 cos 2π10t - cos 2π30t which approximates a square wave with W = 30 Hz. If the sample points are taken at
Q. A solenoid of cylindrical geometry is shown in Figure. (a) If the exciting coil carries a steady direct current I, derive an expression for the force on the plunger. (b) F
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find the resultant of two forces 20N and25N acting at an angle 60 degree each other
Refer to Figure 100. Assume MKS units. Given: R1= 4, R2=14, R3= 9, I4= 8, I5= 7. Determine: Ieq, Req, and V3.
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