Recent content by DMcG

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    Laplace Transform of Bessel Diff Eq

    Hello PF, maybe you can help with this one! I need to show that the Laplace transform of J0(at) is (s^2 + a^2)^-1/2. My prof told me to start with the form: x2y'' + x y' + (x2 + p2)y = 0, where p = 0 ITC. What have I got so far?... Doing the Laplace transform on both sides, where Y...
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    Calculating ratio c/a as 1.633 in HCP?

    I worked it out and found my magic ratio. I understand that c != 2a, because the stacking constant is independent of the spacing of the equilateral triangle in the plane. If we define each point in the lattice to be a sphere of radius r, such that the each sphere touches its nearest neighbour...
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    Calculating ratio c/a as 1.633 in HCP?

    A couple things I did wrong... I meant to say equilateral triangle in the plane. Also, Pythagora's Theorm should be: [(a/3)^2 + (a/3)^2 + (c/2)^2)]^2 = l^2 + (c/2)^2 ...but it still doesn't work out. Is there something I am completely missing in this proof? I've tried plugging in the...
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    Calculating ratio c/a as 1.633 in HCP?

    Im currently working on the same problem. Apparently there is a slightly older thread but it is full of confusion, namely poorly written equations and explanations, probably due to a language barrier. I found a ratio of c/a = 7/6 = 1.166, so I must have did something incorrect. For a...
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    Entropy of a One Dimensional Polymer

    Hi! I am currently working on this same question. I was stumped for a bit at the same point as M@B was. Then I thought I should try: dS/dL = (dS/dNR)*(dNR/dL) for a constant N. Does this seem okay?
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    Mutual inductance as a psuedo-capacitor?

    Mutual inductance as a psuedo-capacitor? 1. I am testing how reduced the mutual inductance btwn two parallel ring-shaped inductors is when a material is placed btwn them. The primary coil is connected to an AC generator in series with an ammeter (on the order of mA), and the secondary in...
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