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Consider the open rotation of a diatomic molecule consisting of two atoms of mass and respectively divided by a distance presume that the molecule is rigid with center of mass fixed.
a) Starting from the kinetic energy εk, where
Obtain the kinetic energy of this system in spherical coordinates and show that
Where I is the moment of inertia. Express I in terms of m1, m2 and a.
b) Derive the canonical conjugate momenta P θ and P? Express the Hamiltonian of this system in terms of P θ, P?, ?, ?, and I.
Calculate Zcl. Calculate the heat capacity for a system of N molecules.
d) Presume now that the rotational motion of the molecule is described by quantum mechanics. Mark the partition function in this case taking into relation of the degeneracy of each state. Compute the heat capacity of a system of N molecules in the limit of low and high temperatures and compare them to the classical result.
Analysis Flow Similar to most subjects, the analysis of semiconductor devices is also performed by starting from simpler problems and regularly progressing to more complex one
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1. Determine the capacitance length of a PCB embedded stripline, assuming no fringing of the electrostatic field. 2. Determine the capacitance/unit length of the same embedded stri
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In this case, the armature is connected in series with the field coils. Thus I a = I f = I NB. At starting, the back emf is zero (because the m
Write a program implementing the conjugate gradient method (un-preconditioned). Solve the matrix equation corresponding to a finite difference node-spacing, h = 0.02m in x and y di
#The requirement is as follows- There is a signal which is in the range of 0 to 5Hz. This signal frequency composition is to determined. The resolution of the determination is 1Hz.
The resistance of a 5 m length of wire is 600Ω.Determine: a) the resistance of an 8 m length of the same wire, b) the length of the same wire when the resistance is 420Ω
Define Lines Parameters In power system analysis, the parameters of interest when modelling power lines are: inductance, capacitance, series resistance and leakage resistance.
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