Thank you for your reply! To be honest I have not studied networks in any great detail at all (ie I have no clue what an ABCD matrix is)... this is just an physics EM course which has a 10 page section on transmission lines where this comes up. :/
Homework Statement
My electronics&physics lecture notes contain the following side note:
___
"A ladder transmission line comprises an alternating sequence of segments of two different transmission lines both of length $l$ with characteristic impedance $Z1$ and $Z2$. If the line is constructed...
Are you hinting on that I could calculate alpha for each given value, assuming a linear interpolation for ##H(P_0)##?
Or that I should leave it as it is considering the questions says: " Find an expression for α in terms of the enthalpy H(p) of He gas and the enthalpy Hℓ of the liquid. "? and...
Alright, so using the table I can see that by choosing the value at 30 atm, ie the approximate minimum of the H function, I get the maximum alpha. This solves the second part of the question.
Now only the first part remains, ie how to express ## \alpha ## in ##H(p)## and ##H_l## only. Any hint...
Well the enthalphy is defined as ##H = U + pV ##, or as a differential: ##dH = TdS + V dp## which means that it is indeed a function of p, but what kind of function I don't know. Should I assume a van der Walls gas instead of an ideal one? Would that help?
As mentioned in the post, I was assuming ideal gas behaviour but realized it didn't work. This is the reason I am asking for help, to find alternatives.
Yes, the equation is a typo. It should indeed read ##1-\alpha##
Homework Statement
a)Helium enters a closed system as a flow of compressed gas at a temperature
of 14 K and at pressure p (enthalpy conserved). A fraction α emerges as liquid and the rest as gas at 14 K, both at atmospheric pressure p0. Find an expression for α in terms of the enthalpy H(p) of...
Yes, I think it is safe to assume that, even if previous posts are interesting.
I have now seemingly solved the problem with help of the exponential form:
## det(A) = e^{lnA} = e^{Tr(lnA)} ##
applying differentiation with product rule and assuming it can be taken inside the trace:
##...
Homework Statement
Show that for a second order cartesian tensor A, assumed invertible and dependent on t, the following holds:
## \frac{d}{dt} det(A) = det(a) Tr(A^{-1}\frac{dA}{dt}) ##
Homework Equations
## det(a) = \frac{1}{6} \epsilon_{ijk} \epsilon_{lmn} A_{il}A_{jm}A_{kn} ##
The...
Homework Statement
A static charge distribution has a radial electric field of magnitude
##E = \alpha \frac{e^{-\lambda r}}{r} ##
where λ and α are positive constants. Calculate the total charge of the distribution.
Homework Equations
Gauss's law ##Q/\epsilon_0 = \int \vec{E} \cdot d\vec{S}##...
Thank you @Charles Link , I believe I have gathered a much better insight to Michelson-Morley Inferometers now! :)
However, I am afraid I still don't know how to approach the last part of the question I am facing. What is meant by the line-shape and how do I relate the width of it to the fringe...
Thank you for your reply @Charles Link , although I am not sure I really follow. The equations you use look like the ones for thin film interference. Is ##\theta## the angle between a light ray and the perpendicular distance to the screen after the beam splitter? But if rays of the two...
Homework Statement
The sodium D-lines are a pair of narrow, closely spaced, approximately equal intensity spectral lines with a mean wavelength of approximately 589 nm. A Michelson interferometer is set up to study the D-lines from a sodium lamp. High contrast fringes are seen for zero...