Recent content by lagrangman

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    A Interaction between matter and antimatter in Dirac equation

    Isn't the first row of the dirac equation $$i\frac{\partial \psi_1}{\partial t} = m \psi_1 - i \frac{\partial \psi_4}{\partial x} - i \frac{\partial \psi_4}{\partial y} - i \frac{\partial \psi_3}{\partial z}$$ I was under the impression that ##\psi_1## and ##\psi_2## were matter and ##\psi_3##...
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    A Interaction between matter and antimatter in Dirac equation

    I'm new to relativistic quantum mechanics and quantum field theory and was trying to learn about the Dirac equation. Unfortunately, I got a little stumped by the interaction between matter and antimatter. It seems like the time derivative of matter is dependent on the spatial derivative of...
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    I Schrodinger Equation as Flow Equation

    I was playing with the Schrodinger equation and realized that it can be interpreted as a flow equation. If we set $$ \psi = A e^{i \theta} $$ We can put the Schrodinger in the form ∂ψ∂t=(−∇ψ)⋅v+iEψ If v=ℏθm and E=ℏ2m(−∇2AA+∇2θ)+ρV I find this intuitive personally as it shows that the...
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    Equivalence of various forms of flux linkage

    I got it from here: https://www.physicsforums.com/threads/flux-linkage-in-inductance-calculation-for-single-wire.819129/ Sorry about the red herring and thank you for your time, but I think I figured it out. When people say fraction of current in this context, they mean I_enclosed/I_total. I...
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    Equivalence of various forms of flux linkage

    Thanks for the response, however I am still confused. Where does the contributing current factor in then? Hopefully this isn't a copyright violation, but Chang writes, "the flux linkages dλ per meter of length, which are caused by the flux in the tubular element, are the product of the flux...
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    Equivalence of various forms of flux linkage

    Hello all, Apologies if this has already been asked before, but I tried researching this question for a while with no results. I was reading Grainger's Power System Analysis' derivation of the inductance of a single wire and got confused by his definition of magnetic flux linkage. He seems to...
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    Ground clearances for transmission lines

    Thanks for the help, but I am still confused. I used 765 kV as an example, since I live in California and there are no 765 kV lines due to the size. My main question is why does an increase in voltage correspond to a massive increase in transmission tower size? As for when one line is shorted...
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    Ground clearances for transmission lines

    Why are ground clearances so large for 765 kV towers? I did a little research on this and even if the switching surge factor is 3 and you have a factor of safety of 1.5, in air (3 kV/mm), it corresponds to 1.62 m of maximum arc length, which doesn't explain why towers are so large. According...
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    Charge distribution on a power line

    Thanks a lot for the help. I did see that website, but it did not seem to specify whether the E-fields were radial (-∇V) or axial (##-\frac{1}{c}\frac{dA}{dt}##) or how they were calculated. I will definitely read up on it more.
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    Charge distribution on a power line

    So if a power line is at 12 kV rms (amplitude of 17 kV) single line Earth return, with a pole height of 20 meters, would the max radial E-field be approximately 850 V/m? Also, how would I go about calculating the three phase E-field at near layman's ground? Thanks a lot for your help so far.
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    Charge distribution on a power line

    Yes, I want the E-field near ground (as in the laymans ground). I was thinking for AC, but I figured it is low enough frequency that the max radial E-field would be the same as DC.
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    Charge distribution on a power line

    I was trying to calculate the EMFs from power lines, just to see how they correspond to transmission line right of ways, and got a little stuck calculating the electrostatic E-field (-∇V) from power lines. I know it is dependent on the charge distribution on the power line, which is in turn...
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