{"id":449,"date":"2023-06-17T14:27:00","date_gmt":"2023-06-17T14:27:00","guid":{"rendered":"https:\/\/physigeek.com\/nl\/snells-wet\/"},"modified":"2023-06-17T14:27:00","modified_gmt":"2023-06-17T14:27:00","slug":"snells-wet","status":"publish","type":"post","link":"https:\/\/physigeek.com\/nl\/snells-wet\/","title":{"rendered":"Snell&#39;s wet"},"content":{"rendered":"<p>In dit artikel vind je de uitleg van de wet van Snell. Je zult kunnen zien wat de wet van Snell zegt, wat de formule ervan is en bovendien worden alle fysieke concepten die verband houden met de wet van Snell uitgelegd om deze goed te begrijpen. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-ley-de-Snell\"><\/span> Wat is de wet van Snell?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>De wet van Snell<\/strong> is een natuurkundige wet die de brekingsindex van twee verschillende media relateert aan de invalshoek en de brekingshoek. De wet van Snell wordt dus gebruikt om de brekingshoek van licht te berekenen wanneer het door een oppervlak gaat dat twee media met verschillende brekingsindices scheidt.<\/p>\n<p> Nauwkeuriger gezegd zegt de wet van Snell dat de brekingsindex van het invallende medium vermenigvuldigd met de sinus van de invalshoek gelijk is aan de brekingsindex van het brekingsmedium vermenigvuldigd met de sinus van de brekingshoek.<\/p>\n<p> De wet van Snell is vernoemd naar de Nederlandse natuurkundige Willebrord Snel van Royen, die de formule voor de wet van Snell ontdekte.<\/p>\n<p> Met name wordt de wet van Snell ook wel <strong>de wet van Snell-Descartes<\/strong> genoemd. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-ley-de-Snell\"><\/span> Formule van de wet van Snell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> De wet van Snell stelt dat de sinus van de invalshoek van een lichtstraal in een medium (\u03b8 <sub>1<\/sub> ) vermenigvuldigd met zijn brekingsindex (n <sub>1<\/sub> ) gelijk is aan de sinus van de brekingshoek van het medium dat de lichtstraal breekt ( \u03b8 <sub>2<\/sub> ) door zijn brekingsindex (n <sub>2<\/sub> ).<\/p>\n<p> Daarom <strong>is de formule voor de wet van Snellius n <sub>1<\/sub> \u00b7 sin(\u03b8 <sub>1<\/sub> )=n <sub>2<\/sub> \u00b7 sin (\u03b8 <sub>2<\/sub> ).<\/strong><\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8a1f4d5f2f8822bea42090853efba478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\\cdot \\text{sin}(\\theta_1)=n_2\\cdot \\text{sin}(\\theta_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"188\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarin licht valt. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7919ba3460fc884772bb5c3cc9ad1a8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de hoek gevormd door de lichtstraal met de normaal van het medium waarop het licht valt. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarin licht wordt gebroken. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-462ac736d8fb9984136e11039f9a0da4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de hoek die de lichtstraal maakt met de normaal van het medium waarin het licht wordt gebroken. <\/span><\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/loi-de-snell.png\" alt=\"De wet van Snell\" class=\"wp-image-9140\" width=\"314\" height=\"430\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/loi-de-snell-219x300.png 219w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/loi-de-snell.png 733w\" sizes=\"auto, (max-width: 219px) 100vw, 219px\"><\/figure>\n<p> Op dezelfde manier kunnen we uit de vorige vergelijking afleiden dat de brekingsindices van twee media verband houden met de snelheid van de lichtstralen in het medium en met hun golflengten. Meer precies is de volgende vergelijking waar:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0bbab4800e10d67dea5a8b40c3b86cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\text{sin}(\\theta_1)}{\\text{sin}(\\theta_2)}=\\cfrac{n_2}{n_1}=\\cfrac{v_1}{v_2}=\\cfrac{\\ lambda_1}{\\lambda_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"234\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4ab63afa2b487b4402027ad7d97fbb5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de hoek die de lichtstraal maakt met de normaal van het medium i. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium i. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c9928f5e418ac3466349509fd03bdead_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de snelheid van de lichtstraal in het medium i. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-efc6f07e9379ba3e0f5662855a7e39c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de golflengte van de lichtstraal in het medium i. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Indice-de-refraccion\"><\/span> Brekingsindex<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Logischerwijs moet je, om de wet van Snell toe te passen, duidelijk zijn over het concept van de brekingsindex, dus hieronder zullen we zien waaruit deze fysieke co\u00ebffici\u00ebnt bestaat.<\/p>\n<p> De <strong>brekingsindex<\/strong> van een medium is een waarde die aangeeft hoeveel de snelheid en golflengte van de straling worden verminderd ten opzichte van het vacu\u00fcm wanneer deze het medium binnendringt. Dus hoe hoger de brekingsindex, dit betekent dat hoe meer de snelheid en golflengte van de straling in het bestudeerde medium worden verminderd.<\/p>\n<p> De formule voor de brekingsindex is:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3272ab4bb86af78aa312738841e2663f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=\\cfrac{c}{v}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"46\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de brekingsindex van het medium. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de snelheid van het licht in een vacu\u00fcm (3,10 <sup>8<\/sup> m\/s). <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de lichtsnelheid in het medium waarin de brekingsindex wordt berekend.<\/span><\/li>\n<\/ul>\n<p> De brekingsindex van een medium hangt af van de eigenschappen van het medium. U kunt de waarden van de brekingsindices van de meest voorkomende media in de natuurkunde bekijken door hier te klikken: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Zie:<\/strong> <a href=\"https:\/\/physigeek.com\/nl\/brekingsindex\/\">Brekingsindex<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Reflexion-interna-total\"><\/span>Totale interne reflectie<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> In de natuurkunde is de <strong>kritische hoek (of grenshoek)<\/strong> de hoek die wordt verkregen door het berekenen van het omgekeerde van de sinus van het quoti\u00ebnt tussen de brekingsindex van het medium waarin de lichtstraal valt en de brekingsindex van het medium waarin deze wordt gebroken. . .de lichtstraal <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d578646ea492b5cd851e7eba3578044f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sin}(\\theta_c)=\\cfrac{n_2}{n_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"95\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-61c0e88486e5cad80d5109d1f67c31e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta_c=\\text{arcsen}\\left(\\frac{n_2}{n_1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"135\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Goud: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec1ef70052f126c1e3f54bfcb4e7ac25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_c\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de kritische hoek. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarop licht valt. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de brekingsindex van het medium waarin licht wordt gebroken.<\/span><\/li>\n<\/ul>\n<p> Wanneer de invalshoek <sub>\u03b81<\/sub> groter is dan de kritische hoek, wordt de lichtstraal dus volledig gereflecteerd in het medium waarop hij valt. Met andere woorden: als de invalshoek <sub>\u03b81<\/sub> groter is dan de kritische hoek, wordt het licht niet gebroken maar gereflecteerd en blijft het daarom, in plaats van in het andere medium terecht te komen, vanuit dezelfde omgeving binnen. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale.png\" alt=\"totale interne reflectie\" class=\"wp-image-9154\" width=\"515\" height=\"314\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale-300x184.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale-768x472.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/reflexion-interne-totale.png 807w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Dit fysieke fenomeen wordt <strong>totale interne reflectie<\/strong> genoemd en treedt op wanneer de invalshoek van de lichtstraal groter is dan de kritische hoek, die je kunt berekenen met de formule hierboven.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In dit artikel vind je de uitleg van de wet van Snell. Je zult kunnen zien wat de wet van Snell zegt, wat de formule ervan is en bovendien worden alle fysieke concepten die verband houden met de wet van Snell uitgelegd om deze goed te begrijpen. Wat is de wet van Snell? De wet &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/nl\/snells-wet\/\"> <span class=\"screen-reader-text\">Snell&#39;s wet<\/span> Weiterlesen &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[13],"tags":[],"class_list":["post-449","post","type-post","status-publish","format-standard","hentry","category-optisch"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Wet van Snellius (formule)<\/title>\n<meta name=\"description\" content=\"Hier vindt u wat de wet van Snell is, wat de wet van Snell zegt (formule), hoe de brekingsindex wordt berekend en andere gerelateerde concepten.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/nl\/snells-wet\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Wet van Snellius (formule)\" \/>\n<meta property=\"og:description\" content=\"Hier vindt u wat de wet van Snell is, wat de wet van Snell zegt (formule), hoe de brekingsindex wordt berekend en andere gerelateerde concepten.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/nl\/snells-wet\/\" 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