{"id":61507,"date":"2026-03-14T04:45:25","date_gmt":"2026-03-13T19:45:25","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=61507"},"modified":"2026-03-14T04:45:25","modified_gmt":"2026-03-13T19:45:25","slug":"vaikeat-vaihtovirtapiirit-vihdoin-selviksi-trigonometrisen-yhdistamisen-ymmartaminen-animaation-avulla-scratch","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=61507&lang=fi","title":{"rendered":"Vaikeat vaihtovirtapiirit vihdoin selviksi! Trigonometrisen yhdist\u00e4misen ymm\u00e4rt\u00e4minen animaation avulla (Scratch)"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #339966;\"><strong>Olen Ken Kuwako, tiedevalmentajasi. Jokainen p\u00e4iv\u00e4 on uusi koe.<\/strong><\/span><\/p>\n<p>S\u00e4hk\u00f6 on modernin el\u00e4m\u00e4mme selk\u00e4ranka. Tiesitk\u00f6, ett\u00e4 pistorasiasta virtaava vaihtos\u00e4hk\u00f6 on todellisuudessa erilaisten aaltojen jatkuvaa leikki\u00e4 ja p\u00e4\u00e4llekk\u00e4isyytt\u00e4? \u00c4lypuhelinten ja kodinkoneiden sy\u00f6vereiss\u00e4 piilev\u00e4n monimutkaisen RLC-piirin salaisuus ratkeaa matematiikan ty\u00f6kalulla, jota kutsutaan trigonometriseksi summakaavaksi. Pelkkien oppikirjan kaavojen tuijottaminen voi kuitenkin tuntua puuduttavalta. Siksi haluan t\u00e4ss\u00e4 postauksessa her\u00e4tt\u00e4\u00e4 n\u00e4kym\u00e4tt\u00f6m\u00e4n s\u00e4hk\u00f6n liikkeen eloon luomallani animaatiolla \u2013 koe kanssani se ahaa-el\u00e4mys, kun matematiikka ja fysiikka kohtaavat!<\/p>\n<h3>Trigonometriset summakaavat s\u00e4hk\u00f6opin sankarina<\/h3>\n<p>Kun syvennyt\u00e4\u00e4n vaihtovirtateoriaan ja RLC-piireihin (piireihin, joissa on vastuksia, keloja ja kondensaattoreita), t\u00f6rm\u00e4t\u00e4\u00e4n v\u00e4ist\u00e4m\u00e4tt\u00e4 sini- ja kosinifunktioiden yhdist\u00e4miseen. Ilman ymm\u00e4rryst\u00e4 kaavan taustoista tai geometrisesta merkityksest\u00e4 saattaa helposti her\u00e4t\u00e4 kysymys: &#8220;Miksi ihmeess\u00e4 laskemme t\u00e4llaista?&#8221;<\/p>\n<p>Tarkastellaan ensin peruskaavaa. Esit\u00e4n sen t\u00e4ss\u00e4 muodossa, jota k\u00e4ytet\u00e4\u00e4n usein fysiikan tunneilla, miss\u00e4 kulma ilmaistaan muodossa \u03c9t (omega kertaa aika).<\/p>\n<p>Trigonometrinen summakaava:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33054 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/b12fc0d8409c28d3efada92df79843ea.jpg\" alt=\"\" width=\"397\" height=\"39\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/b12fc0d8409c28d3efada92df79843ea.jpg 790w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/b12fc0d8409c28d3efada92df79843ea-300x30.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/b12fc0d8409c28d3efada92df79843ea-768x76.jpg 768w\" sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/p>\n<h3>Kaavan takana lymy\u00e4v\u00e4 &#8220;py\u00f6rimisliike&#8221;<\/h3>\n<p>Mit\u00e4 t\u00e4m\u00e4 kaava oikeastaan tarkoittaa k\u00e4yt\u00e4nn\u00f6ss\u00e4? Kun vertaamme sit\u00e4 tavalliseen siniaaltoon (sin\u03c9t), homma muuttuu heti mielenkiintoisemmaksi.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33056\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/f1f298d7d4ecd2d194f47e803eb1c64f.jpg\" alt=\"\" width=\"222\" height=\"34\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/f1f298d7d4ecd2d194f47e803eb1c64f.jpg 444w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/f1f298d7d4ecd2d194f47e803eb1c64f-300x46.jpg 300w\" sizes=\"auto, (max-width: 222px) 100vw, 222px\" \/>\u3000Geometrinen merkitys<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33055 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/574edeecd5c1ef8a54fa6625ff493067.jpg\" alt=\"\" width=\"519\" height=\"199\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/574edeecd5c1ef8a54fa6625ff493067.jpg 1236w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/574edeecd5c1ef8a54fa6625ff493067-300x115.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/574edeecd5c1ef8a54fa6625ff493067-768x295.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/574edeecd5c1ef8a54fa6625ff493067-1024x393.jpg 1024w\" sizes=\"auto, (max-width: 519px) 100vw, 519px\" \/><\/p>\n<p>Kuvasta huomaamme, ett\u00e4 yhdistetty aalto onkin itse asiassa s\u00e4teell\u00e4 r py\u00f6riv\u00e4n vektorin &#8220;varjo&#8221;. Kyseess\u00e4 on siniaalto, joka aloittaa py\u00f6rimisens\u00e4 tietyst\u00e4 l\u00e4ht\u00f6pisteest\u00e4 (alkuvaiheesta), joka on siirtynyt kulman \u03b1 verran. Koska t\u00e4t\u00e4 liikett\u00e4 on vaikea hahmottaa oppikirjan staattisista kuvista, tein avuksesi animaation! Sen avulla n\u00e4et intuitiivisesti, miten matemaattinen kaava muovautuu aallon muotoon.<\/p>\n<p>Kokeile animaatiota t\u00e4\u00e4lt\u00e4:<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/scratch.mit.edu\/projects\/303808808\/\">https:\/\/scratch.mit.edu\/projects\/303808808\/<\/a><\/p>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" src=\"https:\/\/scratch.mit.edu\/projects\/303808808\/embed\" width=\"485\" height=\"402\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>Voit katsoa selityksen my\u00f6s videolta:<\/p>\n<p><iframe loading=\"lazy\" title=\"\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3068\u4ea4\u6d41\u7406\u8ad6\u3010\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u3011\" width=\"1140\" height=\"855\" src=\"https:\/\/www.youtube.com\/embed\/qxvXIq8nXIA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<h3>Askel syvemm\u00e4lle: Kaavan matemaattinen tarina<\/h3>\n<p>Mist\u00e4 t\u00e4m\u00e4 summakaava oikein kumpuaa? Taustalla vaikuttavat tutut matematiikan ty\u00f6kalut, kuten Pythagoraan lause ja kosinilause, jotka ovat monelle tuttuja jo yl\u00e4koulusta tai lukiosta.<\/p>\n<p>Viite: Trigonometrisen summakaavan johtaminen<\/p>\n<p>Yll\u00e4 olevan kuvan perusteella:<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33057\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/7207de2a8ca77954aec99fa7fb970194.jpg\" alt=\"\" width=\"355\" height=\"48\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/7207de2a8ca77954aec99fa7fb970194.jpg 666w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/7207de2a8ca77954aec99fa7fb970194-300x41.jpg 300w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/p>\n<p>Joten:<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33058\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/36bffafde12159229c5f13cfbfef72cc.jpg\" alt=\"\" width=\"481\" height=\"34\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/36bffafde12159229c5f13cfbfef72cc.jpg 850w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/36bffafde12159229c5f13cfbfef72cc-300x21.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/36bffafde12159229c5f13cfbfef72cc-768x54.jpg 768w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><\/p>\n<p>Hy\u00f6dynt\u00e4m\u00e4ll\u00e4 kosinilausetta:<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33059\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/3930f5ce8687ef233e6aeb9e7c7b1ad2.jpg\" alt=\"\" width=\"367\" height=\"29\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/3930f5ce8687ef233e6aeb9e7c7b1ad2.jpg 684w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/3930f5ce8687ef233e6aeb9e7c7b1ad2-300x24.jpg 300w\" sizes=\"auto, (max-width: 367px) 100vw, 367px\" \/><\/p>\n<p>Saamme lopputulokseksi:<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33060\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/a491347e9eb088b3742e2f223dfbbd5d.jpg\" alt=\"\" width=\"189\" height=\"29\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/a491347e9eb088b3742e2f223dfbbd5d.jpg 404w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/a491347e9eb088b3742e2f223dfbbd5d-300x46.jpg 300w\" sizes=\"auto, (max-width: 189px) 100vw, 189px\" \/><\/p>\n<p>Kuten huomaat, monimutkaiseltakin n\u00e4ytt\u00e4v\u00e4 fysiikan ilmi\u00f6 paljastuu tarkemmin tarkasteltuna kauniiksi matemaattiseksi s\u00e4\u00e4nn\u00f6nmukaisuudeksi. Toivon, ett\u00e4 t\u00e4m\u00e4 tekee vaihtovirtapiirien maailmasta sinulle hieman l\u00e4heisemm\u00e4n ja mielenkiintoisemman.<\/p>\n<p>Jos haluat oppia lis\u00e4\u00e4 sinin ja kosinin suhteesta, lue my\u00f6s t\u00e4m\u00e4 artikkeli:<\/p>\n<p>https:\/\/phys-edu.net\/wp\/?p=33077<\/p>\n<div class=\"g-ytsubscribe\" data-channelid=\"UCBoF1yPvFnXnSJ_Xe5AmXcw\" data-layout=\"full\" data-count=\"default\"><\/div>\n<h3>Kysymykset ja yhteisty\u00f6pyynn\u00f6t<\/h3>\n<p>Tehd\u00e4\u00e4n tieteen ihmeist\u00e4 osa arkea! Koostan t\u00e4nne selkeit\u00e4 vinkkej\u00e4 ja hauskoja kotona toteutettavia tiedekokeita. Tutki ja l\u00f6yd\u00e4 uutta!<br \/>\n\u30fbTiedeblogin parhaat palat on koottu kirjaksi. Lis\u00e4tiedot <a href=\"https:\/\/amzn.to\/42PMCEL\">t\u00e4\u00e4lt\u00e4<\/a>.<br \/>\n\u30fbLis\u00e4tietoa yll\u00e4pit\u00e4j\u00e4 Ken Kuwakosta l\u00f6yd\u00e4t <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=37\">t\u00e4\u00e4lt\u00e4<\/a>.<br \/>\n\u30fbYhteydenotot (kirjoitusty\u00f6t, luennot, tiedepajat, TV-konsultointi jne.) <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">t\u00e4\u00e4lt\u00e4<\/a>.<br \/>\n<span class=\"s2\">\u30fbSeuraa uusimpia p\u00e4ivityksi\u00e4 <a href=\"https:\/\/x.com\/kuwako\">X-palvelussa<\/a>!<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.youtube.com\/user\/kkuwako\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-35048\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2020\/03\/3d9640dad7bc5538e76f92da1966ee19.jpg\" alt=\"\" width=\"30\" height=\"21\" \/><\/a><a href=\"https:\/\/www.youtube.com\/user\/kkuwako?sub_confirmation=1\">Tiedevinkkien kanavalla<\/a> voit katsoa koe-videoita!<\/p>\n<h3>\uff15\u6708\u306e\u30a4\u30c1\u30aa\u30b7\u5b9f\u9a13\uff01<\/h3>\r\n<p>\u30ad\u30fc\u30f3\u3068\u51b7\u3048\u308b\u30c9\u30e9\u30a4\u30a2\u30a4\u30b9\uff01\u6c17\u6e29\u304c\u4e0a\u304c\u3063\u3066\u304f\u308b\u3053\u306e\u6642\u671f\u30fb\u30c9\u30e9\u30a4\u30a2\u30a4\u30b9\u3092\u4f7f\u3063\u305f\u6607\u83ef\u30fb\u51dd\u7d50\u30fb\u7b49\u901f\u5ea6\u76f4\u7dda\u904b\u52d5\u306e\u5b9f\u9a13\u306f\u3044\u304b\u304c\uff1f<\/p>\r\n<p><img class=\"alignnone wp-image-39516 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/03\/0618612becc032a60bdda50090ccccbe.jpg\" sizes=\"auto, (max-width: 550px) 100vw, 550px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/03\/0618612becc032a60bdda50090ccccbe.jpg 1406w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/03\/0618612becc032a60bdda50090ccccbe-300x168.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/03\/0618612becc032a60bdda50090ccccbe-1024x572.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/03\/0618612becc032a60bdda50090ccccbe-768x429.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/03\/0618612becc032a60bdda50090ccccbe-320x180.jpg 320w\" alt=\"\" width=\"453\" height=\"253\" \/><\/p>\r\n<p style=\"text-align: center;\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=39513\">\u6db2\u4f53\u30bc\u30ed\uff01\u30c9\u30e9\u30a4\u30a2\u30a4\u30b9\u304c\u6d88\u3048\u308b\u307e\u3067\u306e\uff13\u6642\u9593\u3092\u79d1\u5b66\u3059\u308b\uff08\u6607\u83ef\u30fb\u51dd\u7d50\u30fb\u7b49\u901f\u5ea6\u76f4\u7dda\u904b\u52d5\uff09<\/a><\/p>\r\n<h3 style=\"text-align: left;\"><span style=\"font-size: medium;\"><b><strong>\u30c6\u30ec\u30d3\u756a\u7d44\u76e3\u4fee\u30fb\u30a4\u30d9\u30f3\u30c8\u7b49\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n<li>4\u670830\u65e5\uff08\u6728\uff09\u300cTHE\u7a81\u7834\u30d5\u30a1\u30a4\u30eb\u300d\uff08\u65e5\u672c\u30c6\u30ec\u30d3\uff09\u306e<a href=\"https:\/\/phys-edu.net\/wp\/?p=62906\">\u79d1\u5b66\u76e3\u4fee\u3092\u62c5\u5f53\u3057\u307e\u3057\u305f<\/a>\u3002<\/li>\r\n<li>5\u67088\u65e5\uff08\u91d1\uff09<a href=\"https:\/\/phys-edu.net\/wp\/?p=62629\">\u7406\u79d1\u6559\u80b2\u30cb\u30e5\u30fc\u30b9<\/a>\u3092\u62c5\u5f53\u3057\u307e\u3057\u305f\u3002<\/li>\r\n<li>6\u670814\u65e5\uff08\u65e5\uff09\u3000\u5343\u8449\u5927\u5b66\u30a4\u30f3\u30b9\u30bf\u30ec\u30fc\u30b7\u30e7\u30f3\u300c\u63a2\u7a76\u300d\u306b\u3066\u8b1b\u5e2b\u3092\u52d9\u3081\u307e\u3059<\/li>\r\n<li>6\u670826\u65e5\uff08\u91d1\uff09\u3000\u5343\u8449\u5927\u5b66\u306e\u516c\u958b\u7814\u7a76\u4f1a\uff08\u4e2d\u5b66\u7406\u79d1\u306b\u3064\u3044\u3066\u6388\u696d\u516c\u958b\u4e88\u5b9a\uff09<\/li>\r\n<li>7\u670818\u65e5\uff08\u571f\uff09\u3000<a href=\"https:\/\/phys-edu.net\/wp\/?p=60018\">\u6559\u54e1\u5411\u3051\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\u300c\u30ca\u30ea\u30ab\u30ab\u30b5\u30a4\u30a8\u30f3\u30b9\u30a2\u30ab\u30c7\u30df\u30fc\u300d\u306e\u8b1b\u5e2b\u3092\u3057\u307e\u3059<\/a>\u3002\u304a\u4f1a\u3044\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\r\n<\/ul>\r\n<h3><b>\u66f8\u7c4d<strong>\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/h3>\r\n<ul>\r\n<li>\u300e\u5927\u4eba\u306e\u305f\u3081\u306e\u9ad8\u6821\u7269\u7406\u5fa9\u7fd2\u5e33\u300f\uff08\u8b1b\u8ac7\u793e\uff09\u2026\u4e00\u822c\u5411\u3051\u306b\u65e5\u5e38\u306e\u7269\u7406\u306b\u3064\u3044\u3066\u516c\u5f0f\u3092\u5143\u306b\u7d10\u89e3\u304d\u307e\u3057\u305f\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=1827\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u3067\u306f\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<strong>\u203b\u5897\u5237\u304c\u304b\u304b\u308a\uff16\u5237\u3068\u306a\u308a\u307e\u3057\u305f\uff082026\/02\/01\uff09<br \/><img class=\"alignnone wp-image-10940 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg\" sizes=\"(max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0.jpg 311w\" alt=\"\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8 2014-07-05 0.43.51\" width=\"220\" height=\"192\" \/><br \/><\/strong><\/li>\r\n<li>\u300e\u304d\u3081\u308b!\u5171\u901a\u30c6\u30b9\u30c8 \u7269\u7406\u57fa\u790e \u6539\u8a02\u7248\u300f\uff08\u5b66\u7814\uff09\u2026\u3000\u9ad8\u6821\u7269\u7406\u306e\u53c2\u8003\u66f8\u3067\u3059\u3002\u30a4\u30e9\u30b9\u30c8\u3092\u591a\u304f\u3057\u3066\u30a4\u30e1\u30fc\u30b8\u304c\u6301\u3066\u308b\u3088\u3046\u306b\u63cf\u304d\u307e\u3057\u305f\u3002\u6388\u696d\u306b\u3064\u3044\u3066\u3044\u3051\u306a\u3044\u3001\u7269\u7406\u304c\u82e6\u624b\u3001\u305d\u3093\u306a\u751f\u5f92\u306b\u304a\u3059\u3059\u3081\u3067\u3059\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=45322\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u306f\u3053\u3061\u3089\u3002<br \/><img class=\"alignnone wp-image-45718 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg\" sizes=\"(max-width: 184px) 100vw, 184px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg 756w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c-300x269.jpg 300w\" alt=\"\" width=\"184\" height=\"165\" \/><\/li>\r\n<\/ul>\r\n<h3><span style=\"text-align: center;\">\u5404\u7a2eSNS\uff08\u66f4\u65b0\u60c5\u5831\u3092\u304a\u5c4a\u3051\uff01\uff09<\/span><\/h3>\r\n<p style=\"text-align: center;\"><a style=\"text-align: center;\" href=\"https:\/\/twitter.com\/kuwako\">X(Twitter)<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.instagram.com\/science_seeds\/\">instagram<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.facebook.com\/kuwakolab\/\">Facebook<\/a>\uff08\u65e5\u672c\u8a9e\uff09<\/p>\r\n<p style=\"text-align: center;\"><a style=\"text-align: center;\" href=\"https:\/\/bsky.app\/profile\/kagakunoneta.bsky.social\">BlueSky<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.threads.net\/@science_seeds?hl=ja\">Threads<\/a>\uff08\u82f1\u8a9e\uff09<\/p>\r\n<h3 style=\"text-align: center;\"><strong>Explore<\/strong><\/h3>\r\n<ul>\r\n<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=30764\">\u697d\u3057\u3044\u5b9f\u9a13<\/a>\u2026\u304a\u5b50\u3055\u3093\u3068\u4e00\u7dd2\u306b\u5922\u4e2d\u306b\u306a\u308c\u308b\u30a4\u30c1\u30aa\u30b7\u306e\u79d1\u5b66\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u9ad8\u6821\u7269\u7406\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306e\u52d5\u753b\u6559\u6750\u3082\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/li>\r\n<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=798\">\u7406\u79d1\u306e\u6559\u6750<\/a>\u2026 \u7406\u79d1\u6559\u5e2b\u3092\u30d0\u30c3\u30af\u30a2\u30c3\u30d7\uff01\u6388\u696d\u306e\u8cea\u3092\u9ad8\u3081\u3001\u6e96\u5099\u3092\u52b9\u7387\u5316\u3059\u308b\u305f\u3081\u306e\u9078\u308a\u3059\u3050\u308a\u306e\u6559\u6750\u3092\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"https:\/\/www.youtube.com\/c\/kkuwako\">Youtube<\/a>\u2026\u79d1\u5b66\u5b9f\u9a13\u7b49\u306e\u52d5\u753b\u3092\u914d\u4fe1\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"https:\/\/music.youtube.com\/playlist?list=PLoK4ZvKN9S2NgpYIochcQs0aL-vrRB_Qw\">\u79d1\u5b66\u30e9\u30b8\u30aa<\/a>\u00a0\u2026\u79d1\u5b66\u30c8\u30d4\u30c3\u30af\u3092\u307b\u307c\u6bce\u65e5\u914d\u4fe1\u4e2d\uff01AI\u6280\u8853\u3092\u99c6\u4f7f\u3057\u3066\u4f5c\u6210\u3057\u305f\u300c\u8033\u3067\u697d\u3057\u3080\u79d1\u5b66\u300d\u3092\u304a\u5c4a\u3051\u3057\u307e\u3059\u3002<\/li>\r\n<li><a href=\"http:\/\/phys-edu.net\/wp\/?page_id=20940\">\u8b1b\u6f14<\/a>\u00a0\u2026\u5168\u56fd\u5404\u5730\u3067\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\u30fb\u30b5\u30a4\u30a8\u30f3\u30b9\u30b7\u30e7\u30fc\u7b49\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"http:\/\/phys-edu.net\/wp\/?page_id=37\">About<\/a>\u00a0\u2026\u300c\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u300d\u306e\u30b3\u30f3\u30bb\u30d7\u30c8\u3084\u3001\u904b\u55b6\u8005\u3067\u3042\u308b\u6851\u5b50\u7814\u306e\u30d7\u30ed\u30d5\u30a3\u30fc\u30eb\u30fb\u60f3\u3044\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">\u304a\u554f\u3044\u5408\u308f\u305b<\/a> \u2026\u5b9f\u9a13\u6559\u5ba4\u306e\u3054\u4f9d\u983c\u3001\u57f7\u7b46\u30fb\u8b1b\u6f14\u306e\u76f8\u8ac7\u3001\u79d1\u5b66\u76e3\u4fee\u7b49\u306f\u3053\u3061\u3089\u306e\u30d5\u30a9\u30fc\u30e0\u304b\u3089\u304a\u5bc4\u305b\u304f\u3060\u3055\u3044\u3002<\/li>\r\n<\/ul>\r\n","protected":false},"excerpt":{"rendered":"<p>Olen Ken Kuwako, tiedevalmentajasi. Jokainen p\u00e4iv\u00e4 on uusi koe. S\u00e4hk\u00f6 on modernin el\u00e4m\u00e4mme selk\u00e4ranka. Tiesitk [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":33061,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","sns_share_botton_hide":"","vkExUnit_sns_title":"","vkexunit_cta_each_option":"","_lightning_design_setting":{"layout":"default"},"footnotes":""},"categories":[1630],"tags":[],"class_list":["post-61507","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category--fi"],"jetpack_featured_media_url":"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/82044aec2c7a705ed49a63a73f3039a4.jpg","jetpack-related-posts":[{"id":52972,"url":"https:\/\/phys-edu.net\/wp\/?p=52972&lang=fi","url_meta":{"origin":61507,"position":0},"title":"Lasikyynelten paljastama tieteen arvoitus! Koe j\u00e4risytt\u00e4v\u00e4 hetki \u2018Hollannin kyynelen\u2019 kanssa","author":"\u6851\u5b50 \u7814","date":"2025\u5e749\u670823\u65e5","format":false,"excerpt":"Hei, olen tiedekouluttaja Ken Kuwako. Joka p\u00e4iv\u00e4 o\u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/06\/b7d92e6cb0e2adc9c150c85d9266ccc4.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/06\/b7d92e6cb0e2adc9c150c85d9266ccc4.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/06\/b7d92e6cb0e2adc9c150c85d9266ccc4.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/06\/b7d92e6cb0e2adc9c150c85d9266ccc4.jpg?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":54079,"url":"https:\/\/phys-edu.net\/wp\/?p=54079&lang=fi","url_meta":{"origin":61507,"position":1},"title":"Taikapussi, joka pullistuu kuumassa vedess\u00e4: N\u00e4in etanoli haastaa kiehumispisteen!","author":"\u6851\u5b50 \u7814","date":"2025\u5e7410\u67089\u65e5","format":false,"excerpt":"T\u00e4\u00e4ll\u00e4 Ken Kuwako, tiedekouluttajasi. Joka p\u00e4iv\u00e4 o\u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/09f3e7b4906e8b1eb720e085aafeee1c.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/09f3e7b4906e8b1eb720e085aafeee1c.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/09f3e7b4906e8b1eb720e085aafeee1c.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2023\/01\/09f3e7b4906e8b1eb720e085aafeee1c.jpg?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":54807,"url":"https:\/\/phys-edu.net\/wp\/?p=54807&lang=fi","url_meta":{"origin":61507,"position":2},"title":"Ravista, pid\u00e4t\u00e4 ja purkaudu! Tee oma tulivuorenpurkaus colalla!","author":"\u6851\u5b50 \u7814","date":"2025\u5e7410\u670822\u65e5","format":false,"excerpt":"Olen Kuwako Ken, tiedevalmentaja. Jokainen p\u00e4iv\u00e4 o\u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/10\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-10-22-4.30.31.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/10\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-10-22-4.30.31.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/10\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-10-22-4.30.31.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/10\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-10-22-4.30.31.jpg?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":52329,"url":"https:\/\/phys-edu.net\/wp\/?p=52329&lang=fi","url_meta":{"origin":61507,"position":3},"title":"Kylpyhuone muuttuu tiedelaboratorioksi! Koe vedenpaine kumihanskoilla","author":"\u6851\u5b50 \u7814","date":"2025\u5e749\u670815\u65e5","format":false,"excerpt":"Olen tiedekouluttaja Ken Kuwako. Joka p\u00e4iv\u00e4 on koe\u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/09\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-09-16-18.23.57-4.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/09\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-09-16-18.23.57-4.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/09\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2025-09-16-18.23.57-4.jpg?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":54306,"url":"https:\/\/phys-edu.net\/wp\/?p=54306&lang=fi","url_meta":{"origin":61507,"position":4},"title":"Kuin jalokivet ilmestyisiv\u00e4t! Paljasta l\u00e4mp\u00f6tilan salaisuus kaliumitraatin ja suolan uudelleenkiteytyksen avulla!","author":"\u6851\u5b50 \u7814","date":"2025\u5e7410\u670813\u65e5","format":false,"excerpt":"Olen Ken Kuwako, tiedekouluttaja. Joka p\u00e4iv\u00e4 on ko\u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/03\/6bbbd3aaccca7143d4bb332607d0e190.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/03\/6bbbd3aaccca7143d4bb332607d0e190.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/03\/6bbbd3aaccca7143d4bb332607d0e190.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2025\/03\/6bbbd3aaccca7143d4bb332607d0e190.jpg?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":62840,"url":"https:\/\/phys-edu.net\/wp\/?p=62840&lang=fi","url_meta":{"origin":61507,"position":5},"title":"0,001 sekunnin taistelu! Itseinduktion luoma hidas s\u00e4hk\u00f6 ja sen mysteeri (Itseinduktio-koe)","author":"\u6851\u5b50 \u7814","date":"2026\u5e744\u670828\u65e5","format":false,"excerpt":"T\u00e4\u00e4ll\u00e4 tiedevalmentaja Kuwako Ken. Jokainen p\u00e4iv\u00e4 \u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/02\/118e33cc7b285327d83d5d2313d7b964.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/02\/118e33cc7b285327d83d5d2313d7b964.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/02\/118e33cc7b285327d83d5d2313d7b964.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/02\/118e33cc7b285327d83d5d2313d7b964.jpg?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/02\/118e33cc7b285327d83d5d2313d7b964.jpg?resize=1050%2C600&ssl=1 3x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/02\/118e33cc7b285327d83d5d2313d7b964.jpg?resize=1400%2C800&ssl=1 4x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=\/wp\/v2\/posts\/61507","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=61507"}],"version-history":[{"count":0,"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=\/wp\/v2\/posts\/61507\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=\/wp\/v2\/media\/33061"}],"wp:attachment":[{"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=61507"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=61507"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/phys-edu.net\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=61507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}