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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.
Digital Transmission on Fading Multipath Channels We have discussed thus far digital modulation and demodulation methods for the transmission of information over two types of c
Q. Consider a current element I 1 d ¯l 1 = 10 dz ¯az kA located at (0,0,1) and another I 2 d ¯ l 2 = 5dx ¯ax kA located at (0,1,0). Compute d ¯F 21 and d ¯F 12 experienced by
This assignment is to develop a User Requirements Specification for an electronic monitor and alarm system for an Oil Separator in Surface Water Drainage Systems. These separato
Design a circuit using op-amp that will reject the 60kHz power line noise and also reject high signal frequency above 800Khz. The stop-band width around the 60kHz centre frequency
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1. Work out the voltage for the following arrangement of 1.5V cells : (to achieve a pass grade, solve problems with cells in series, parallel and series-parallel) 2.
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1) Assume that we are given the continuous-time signal xa (t) = xa1 (t) + xa2 (t) + xa3 (t), where, xa1 (t) = 2 + cos3 (2pf1 t + p 3 ) + 2 cos(2pf2 t), xa2 (t) = 2 cos(2pf3 t)
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