Wikipedia:Reference desk/Archives/Science/2024 May 12

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May 12

ecological spray bottle

does anyone know if there are any glass or metal spray bottles with bioplastic triggers and straw available anywhere in existence? i really want to go plastic free for my succulent business ninosckasnaturals.com 2600:1700:9758:7D90:B406:C016:3BC0:D48B (talk) 06:05, 12 May 2024 (UTC)

Maybe one of those old-fashioned perfume misters with the rubber squeeze bulb? I doubt very much that there is a mass-produced non-plastic alternative spray bottle apparatus. Abductive (reasoning) 21:49, 12 May 2024 (UTC)

There are pump-type plant misters (e.g. metal or glass). --136.54.106.120 (talk) 18:27, 13 May 2024 (UTC)

P.s.: LOOPSEED sells stainless steel plant mister spray bottles in various finishes, well-suited for succulents (search online for details). --136.54.106.120 (talk) 18:49, 13 May 2024 (UTC) -- [edit: 22:33, 13 May 2024 (UTC)]

origin of the formula for LC frequency

In electricity, properties known as inductance and capacitance together can resonate. The formula for the frequency of resonance is 1/(2*Pi*SQRT(L*C)). Who first published this formula? ```` Dionne Court (talk) 06:33, 12 May 2024 (UTC)

Somewhat after Laplace 1800 and before Poincarre, 1899 with a strong suspicion that the ubiquitous Maxwell might have done it. Greglocock (talk) 06:57, 12 May 2024 (UTC)

According to LC_circuit#History it was the ubiquitous Lord Kelvin in 1853. --Wrongfilter (talk) 07:10, 12 May 2024 (UTC)

Thank you. That man did everything. Greglocock (talk) 23:49, 12 May 2024 (UTC)

It does say that, but it is incorrect, which is why I posted here. Kelvin derived an equation to describe the transient response (response to a one-time shock excitation). However the article io LC_circuit#History gave as a reference an article in the Bell System Technical Journal, 1941, pages 415-453. I have now obtained this paper and it gives James Clerk Maxwell as the first to give the resonance formula (in a different but mathematically equivalent form), in a letter published in Philosphosical Magazine 1868. I will try and get this letter. ```` Dionne Court (talk) 03:13, 13 May 2024 (UTC)

It is this letter.  --Lambiam 12:14, 13 May 2024 (UTC)

It's from the right guy and via the correct other guy, but it has no math in it at all. It is not therefore the earliest statement of the resonance formula.

I'm looking for the fist statement of the formula as given in modern textbooks, i.e.,

f = 1/(2π(LC)^½).

It is a trivial exercise in algrbra to convert Maxwell's form into the standard modern form, but I would like to know when the modern form was first give. Dionne Court (talk) 00:29, 14 May 2024 (UTC)

The section entitled Mathematical Theory of the Experiment, an enclosure to the letter immediately following it on page 361, definitely contains some maths. On page 363 we see the equation ${\text{CL}}n^{2}=1,$ which results in an amplitude that, Maxwell writes, "is the greatest effect which can be produced with a given velocity". In this formula, the "velocity" $n$ is what is now more commonly denoted with the Greek letter $\omega .$  --Lambiam 06:49, 14 May 2024 (UTC)

p 540 onwards in Mathematical and Physical Papers, Volume 1 William Thomson Baron Kelvin University Press, 1882 - Mathematics - 619 pages, which is in google books, certainly discusses oscillatory behavior and time between peaks but I don't think it explicitly states f=1/(2pi*sqrt(L*C)). Particularly equation 7 where his A is modern L. Greglocock (talk) 00:08, 14 May 2024 (UTC)