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

= 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 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 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, 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, "". 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)