Recent content by Marcus95

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...

well yes, that was my initial answer! Does that mean that it cannot be further simplified?

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...

My integral is: ##Q = \int_{r=0}^\infty \int_{\theta=0}^{\pi} \int_{\phi=0}^{2\pi} \alpha\epsilon_0 \frac{e^{-\lambda r}(1-\lambda r)}{r^2} \times r^2sin\theta d\theta dr d\phi ## which gives: ##Q = 4\phi \alpha \epsilon_0 \int_{r=0}^\infty e^{-\lambda r}(1-\lambda r) dr =4\phi \alpha...

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...