Recent content by MxwllsPersuasns

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    Voltage Output in subtractor photocircuit

    Hello All, I work in an optical lab and am currently attempting to determine the voltage output of a subtractor circuit I've wired up (as I'd like to work back from my output voltage and FFT magnitudes to read out the value of a magnetic field using faraday magnetometry.) So my circuit is as...
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    Why do 2 d not decay into alpha particle and neutral pion?

    Homework Statement The reaction dd → απ0 (where α is the Helium-4 nucleus and d denotes the deuteron) has never been observed. Why? Homework EquationsThe Attempt at a Solution [/B] So I checked first the masses to make sure energy/momentum are conserved and found out that mass of 2d is...
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    Mass of Hydrogen needed to determine lifetime of proton

    Homework Statement The current limit on the proton’s lifetime is determined by observing a large body of water for a long time and noticing that no one of the hydrogen nuclei in H2O have decayed. Assuming that the experiment making this measurement has been going on for 10 years, how many tons...
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    I Determining Appropriate Focal Length

    Yes we have laser light coming out of a laser diode (what I interpret to be the "image" -- please correct me if I am wrong) which then passes through and gets refracted by a lens and which then travels through a crystal and through a beamsplitter into photo-detectors. Now we can assume the...
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    I Determining Appropriate Focal Length

    So I'm working on a project where we're deciding a new lens to use for our laser diode. I need to determine the appropriate focal length based on the equation: 1/ƒ = 1/μ + 1/σ where ƒ is our focal length, μ is the distance from the lens to image and σ is distance from lens to object. For the...
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    Calculating Magnetic Field Strength from FFT

    This is what I would imagine but upon reporting this to my professor he seemed to not be too pleased with that. I'm going to do some more digging around to see what I can find/discover. Can anyone help me with the very last bullet point -- "Would I, in my case, calculate F(100) and that should...
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    Calculating Magnetic Field Strength from FFT

    Okay so I tried inputting a known signal of 5cos(2*pi*100Hz*t) and ended up seeing a peak at 100hz of exactly magnitude 5. I tried again with a signal like 10cos(2*pi*90Hz*t) and, again, found at 90 hz the only peak, with magnitude 10. This led me to believe the scaling factor was 1 but when I...
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    Calculating Magnetic Field Strength from FFT

    Yeah see I was curious about that. I suppose I should have specified when talking with my professor as in our power spectrum we narrow our range to around 15hz - 200 hz in order to actually see the data we're interested in (specifically the 100 hz signal and also we monitor the 60 hz noise as...
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    Calculating Magnetic Field Strength from FFT

    Well the situation we have is the following: Basically, we have a function generator which creates an AC current of around 100 hz (which I have set to that frequency in order to separate from the common noise around 15hz and the higher harmonics) the AC current runs through a solenoid and...
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    Calculating Magnetic Field Strength from FFT

    Hello All, Briefly on the exposition; I'm an undergraduate assistant to a professor. We contribute to the Muon g-2 experiment in Fermilab, designing and optimizing the magnetic-measurement equipment. As you might imagine I utilize the Fourier Transform often to analyze data. The data I'm...
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    Setting up a circuit to drive a Laser Diode

    So if the connections are only 5 holes across and I need say a span of like 8 holes, what can I do? I'll have to look at the circuitboard tomorrow when I'm in the lab again but if only the columns are connected together then how can I keep the circuit connected given that I'm going to have to...
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    Setting up a circuit to drive a Laser Diode

    Hello fellow physics friends (alliteration: always a strong opener). I am writing today because I find myself struggling to complete something which ostensibly doesn't seem that difficult to the average physics undergrad working in a lab. However, electronics and circuits are definitely a...
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    Calculating Magnetic Field from FFT Amplitude

    So a little bit of background: I work in an undergraduate lab at UMass Amherst and am currently building/optimizing a faraday magnetometer for use in the Muon g-2 experiment at Fermilab. The magnetometer works as follows. A laser is shone through a crystal with a particular Verdet Constant at...
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    Variations of Regular Curves problem

    Homework Statement Let γs : I → Rn, s ∈ (−δ, δ), > 0, be a variation with compact support K ⊂ I' of a regular curve γ = γ0. Show that there exists some 0 < δ ≤ ε such that γs is a regular curve for all s ∈ (−δ, δ). Thus, we may assume w.l.o.g. that any variation of a regular curve consists of...
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    Properties of Solutions of Matrix ODEs

    Homework Statement We assume from ODE theory that given a smooth A: I → gl(n;R) there exists a unique smooth solution F : I → gl(n;R), defined on the same interval I on which A is defined, of the initial value problem F' = FA and F(t0) = F0 ∈ gl(n;R) given.(i) Show that two solutions Fi : I →...
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