{"id":5707,"date":"2026-02-18T16:00:05","date_gmt":"2026-02-18T15:00:05","guid":{"rendered":"https:\/\/homebook.click\/blog\/?p=5707"},"modified":"2026-08-25T12:12:41","modified_gmt":"2026-08-25T10:12:41","slug":"dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup","status":"publish","type":"post","link":"https:\/\/homebook.click\/blog\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\/","title":{"rendered":"Dzielniki napi\u0119cia i wszystko, co musisz o nich wiedzie\u0107"},"content":{"rendered":"<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">Czas czytania:<\/span> <span class=\"rt-time\"> 3<\/span> <span class=\"rt-label rt-postfix\">min.<\/span><\/span>\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"5707\" class=\"elementor elementor-5707\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3d12a31 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3d12a31\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5e46ad8\" data-id=\"5e46ad8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d322e52 elementor-widget elementor-widget-text-editor\" data-id=\"d322e52\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"blog-special\"><em> Artyku\u0142 powsta\u0142 we wsp\u00f3\u0142pracy z autorem zewn\u0119trznym i jest publikowany go\u015bcinnie poza naszym standardowym procesem redakcyjnym. Traktuj go jako materia\u0142 uzupe\u0142niaj\u0105cy.<\/em><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-579db86 elementor-widget elementor-widget-text-editor\" data-id=\"579db86\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Dzielnik napi\u0119cia to obw\u00f3d, kt\u00f3rego u\u017cywa si\u0119 w celu zmiany du\u017cego napi\u0119cia na mniejsze &#8211; pomaga w uzyskaniu okre\u015blonego stosunku pomi\u0119dzy napi\u0119ciem wej\u015bciowym a wyj\u015bciowym. W artykule przyjrzymy si\u0119 zwi\u0105zanym z nimi kwestiom i spr\u00f3bujemy odpowiedzie\u0107 na pytania:<\/p><ul><li>Czym jest dzielnik napi\u0119cia?<\/li><li>Czym s\u0105 obwody dzielnik\u00f3w napi\u0119cia?<\/li><li>Jaki jest wz\u00f3r na dzielnik napi\u0119cia?<\/li><li>Jakie s\u0105 zastosowania dzielnika napi\u0119cia?<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2069d1c elementor-widget elementor-widget-heading\" data-id=\"2069d1c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Czym jest dzielnik napi\u0119cia?<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-68cbabf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"68cbabf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ff00827\" data-id=\"ff00827\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3932fd5 elementor-widget elementor-widget-text-editor\" data-id=\"3932fd5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Pasywny obw\u00f3d liniowy wytwarza napi\u0119cie wyj\u015bciowe. Zmniejsza on napi\u0119cie wej\u015bciowe do mniejszego wolta\u017cu bazuj\u0105c na dw\u00f3ch rezystorach dystrybuuj\u0105c napi\u0119cie wyj\u015bciowe poprzez komponenty dzielnika. Cz\u0119sto u\u017cywa si\u0119 go w celu uzyskania wolta\u017cu innego ni\u017c podany na dost\u0119pnej baterii lub zasilaczu. Napi\u0119cie wyj\u015bciowe dzielnika napi\u0119cia jest zale\u017cne od rezystancji \u0142adunku.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-627c298 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"627c298\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-dfd29df\" data-id=\"dfd29df\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f7a7ffd elementor-widget elementor-widget-image\" data-id=\"f7a7ffd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"698\" height=\"426\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/dzielnikinapiecia.png\" class=\"attachment-large size-large wp-image-6807\" alt=\"\" srcset=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/dzielnikinapiecia.png 698w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/dzielnikinapiecia-300x183.png 300w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/dzielnikinapiecia-640x391.png 640w\" sizes=\"(max-width: 698px) 100vw, 698px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-512df3d\" data-id=\"512df3d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc699c3 elementor-widget elementor-widget-text-editor\" data-id=\"fc699c3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Obw\u00f3d dzielnika napi\u0119cia zwykle wygl\u0105da jak na ilustracji &#8211; ma dwa rezystory.<br \/><b>R1 <\/b>&#8211; rezystor najbli\u017cszy napi\u0119ciu wej\u015bciowemu.<br \/><b>R2 <\/b>&#8211; rezystor najbli\u017cszy uziemieniu.<br \/><b>Vin <\/b>&#8211; napi\u0119cie wej\u015bciowe.<br \/><b>Vout <\/b>&#8211; napi\u0119cie wyj\u015bciowe wzd\u0142u\u017c R2 o mniejszym wolta\u017cu (1\/4 wej\u015bciowego).<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c65ea86 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c65ea86\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d57a192\" data-id=\"d57a192\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f93b955 elementor-widget elementor-widget-heading\" data-id=\"f93b955\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Wz\u00f3r na dzielnik napi\u0119cia<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-07f8253 elementor-widget elementor-widget-text-editor\" data-id=\"07f8253\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Wz\u00f3r, gdzie R1, R2\u00a0 oznacza oporniki, a U &#8211; napi\u0119cie. Obw\u00f3d mo\u017ce posiada\u0107 wi\u0119cej ni\u017c 2 rezystory.\u00a0<b><br \/><\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-42c0a62 elementor-widget elementor-widget-image\" data-id=\"42c0a62\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"214\" height=\"78\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/wzornadzielniknapiecia.png\" class=\"attachment-1536x1536 size-1536x1536 wp-image-5722\" alt=\"Wz\u00f3r na dzielnik napi\u0119cia\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-408c2c6 elementor-widget elementor-widget-text-editor\" data-id=\"408c2c6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Przyk\u0142adowo: napi\u0119cie wej\u015bciowe = 100\u03a9<span style=\"color: #222222; font-family: arial, sans-serif;\"><span style=\"font-size: 1rem;\">\u00a0<\/span><\/span><span style=\"font-size: 1rem;\">; R1 = 20<\/span><span style=\"font-size: 1rem;\">\u03a9<\/span><span style=\"font-size: 1rem;\">; R2 = 10<\/span><span style=\"font-size: 1rem;\">\u03a9<\/span><span style=\"font-size: 1rem;\">; zatem napi\u0119cie wyj\u015bciowe mierzone na R2 = 33,33 V.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-3dc9242 elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3dc9242\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5140ede8\" data-id=\"5140ede8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7f413650 elementor-widget elementor-widget-image\" data-id=\"7f413650\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"121\" height=\"144\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2019\/09\/ikona-ciekawostki.jpg\" class=\"attachment-large size-large wp-image-1759\" alt=\"ikona ciekawostki\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-69f3541c\" data-id=\"69f3541c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-144a8853 elementor-widget elementor-widget-text-editor\" data-id=\"144a8853\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Regu\u0142a podzia\u0142u napi\u0119cia<\/p><p><b>Napi\u0119cie dzielone pomi\u0119dzy dwoma rezystorami jest proporcjonalne do ich oporu.<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9fb3f16 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9fb3f16\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-589ce63\" data-id=\"589ce63\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cab1181 elementor-widget elementor-widget-heading\" data-id=\"cab1181\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Prawo Ohma<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e025230 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e025230\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-87a9520\" data-id=\"87a9520\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e60c430 elementor-widget elementor-widget-text-editor\" data-id=\"e60c430\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Prawo Ohma opisuje najprostszy przypadek zwi\u0105zku mi\u0119dzy napi\u0119ciem przy\u0142o\u017conym do opornika a nat\u0119\u017ceniem pr\u0105du p\u0142yn\u0105cego przez ten przewodnik. Brzmi ono:\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f2056ca elementor-widget elementor-widget-text-editor\" data-id=\"f2056ca\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u00a0<\/p><center><b>Stosunek nat\u0119\u017cenia pr\u0105du p\u0142yn\u0105cego przez przewodnik do napi\u0119cia pomi\u0119dzy jego ko\u0144cami jest sta\u0142y.<\/b><\/center><p>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-23e5c41 elementor-widget elementor-widget-text-editor\" data-id=\"23e5c41\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Mo\u017cemy wykorzysta\u0107 prawo Ohma w celu obliczenia napi\u0119cia p\u0142yn\u0105cego przez ka\u017cdy rezystor:<\/p><p>U = napi\u0119cie<br \/>I = pr\u0105d obwodu<br \/>R = op\u00f3r<\/p><p><span style=\"color: #222222; font-family: arial, sans-serif;\">U = R * I<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f3f15c elementor-widget elementor-widget-image\" data-id=\"4f3f15c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"181\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/dorownaniaohm.png\" class=\"attachment-large size-large wp-image-5730\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2035725 elementor-widget elementor-widget-text-editor\" data-id=\"2035725\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Spadek napi\u0119cia na poszczeg\u00f3lnych rezystorach to 5 V, 10 V i 15 V:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1fb570c elementor-widget elementor-widget-image\" data-id=\"1fb570c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"789\" height=\"189\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabela-uri.png\" class=\"attachment-large size-large wp-image-6812\" alt=\"\" srcset=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabela-uri.png 789w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabela-uri-300x72.png 300w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabela-uri-768x184.png 768w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabela-uri-640x153.png 640w\" sizes=\"(max-width: 789px) 100vw, 789px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d760425 elementor-widget elementor-widget-heading\" data-id=\"d760425\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Zastosowania dzielnik\u00f3w napi\u0119cia<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-017e542 elementor-widget elementor-widget-text-editor\" data-id=\"017e542\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Dzielniki napi\u0119cia s\u0105 obecnie szeroko spotykane w wielu zastosowaniach. Oto kilka przyk\u0142ad\u00f3w:<\/p><ul><li><strong><a href=\"https:\/\/homebook.click\/103-potencjometry\" data-wpel-link=\"internal\">potencjonometry <\/a><\/strong>&#8211; inaczej rezystory nastawne. To pasywne elementy elektroniczne z funkcj\u0105 obracania lub rotowania regulatora, kt\u00f3re dzia\u0142aj\u0105 jak regulowany dzielnik napi\u0119cia. Napi\u0119cie wej\u015bciowe jest obecne na ca\u0142ej d\u0142ugo\u015bci potencjonometru, a napi\u0119cie wyj\u015bciowe (spadek napi\u0119cia) jest kontrolowany przez kontakt z potencjonometrem. Pod wzgl\u0119dem budowy dziel\u0105 si\u0119 na typy obrotowe i przesuwne.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d37d0f5 elementor-widget elementor-widget-image\" data-id=\"d37d0f5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/homebook.click\/grove-enkodery-i-potencjometry\/4436-grove-potencjometr-przesuwny-10k-liniowy.html\" data-wpel-link=\"internal\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"464\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/04436_2-768x464.jpg\" class=\"attachment-medium_large size-medium_large wp-image-5742\" alt=\"\" srcset=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/04436_2-768x464.jpg 768w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/04436_2-300x181.jpg 300w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/04436_2-1024x618.jpg 1024w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/04436_2-640x386.jpg 640w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/04436_2.jpg 1080w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Grove - potencjometr przesuwny 10k\u03a9 liniowy.<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-31c25e6 elementor-widget elementor-widget-text-editor\" data-id=\"31c25e6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li><a href=\"https:\/\/homebook.click\/140-czujniki-pradu\" data-wpel-link=\"internal\"><strong>czujniki pr\u0105du<\/strong><\/a> &#8211; w tym przypadku dzielniki napi\u0119cia. Czujniki pr\u0105du s\u0142u\u017c\u0105 og\u00f3\u0142em do mierzenia wielko\u015bci takich jak napi\u0119cie, moc czy op\u00f3r (impedancja). S\u0105 niezb\u0119dne do opisu zjawisk zachodz\u0105cych w obwodach elektrycznych za pomoc\u0105 odpowiednich parametr\u00f3w. Wsp\u00f3\u0142czesna technika pomiarowa umo\u017cliwia precyzyjny i szybki pomiar nat\u0119\u017cenia zar\u00f3wno pr\u0105du sta\u0142ego, jak i pr\u0105du zmiennego o regularnym jak i nieregularnym kszta\u0142cie przebiegu. Przyrz\u0105dy pomiarowe w oparciu o obwody magnetyczne oraz elementy p\u00f3\u0142przewodnikowe pozwalaj\u0105 na uzyskanie informacji o warto\u015bci pr\u0105du p\u0142yn\u0105cego w badanym obwodzie. Mo\u017cna je uzna\u0107 za cz\u0119\u015bci sk\u0142adowe wi\u0119kszych, kompleksowych system\u00f3w pomiarowych.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7edff69 elementor-widget elementor-widget-image\" data-id=\"7edff69\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"169\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/08231_3-300x169.jpg\" class=\"attachment-medium size-medium wp-image-5752\" alt=\"Sensor napi\u0119cia\" srcset=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/08231_3-300x169.jpg 300w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/08231_3-640x360.jpg 640w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/08231_3.jpg 700w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Dzielnik napi\u0119cia 5V \/ 25V dla <b><a href=\"https:\/\/homebook.click\/234-arduino\" data-wpel-link=\"internal\">Arduino.<\/a><\/b><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-23acbaf elementor-widget elementor-widget-heading\" data-id=\"23acbaf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Odczyt z rezystor\u00f3w<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f07b1a elementor-widget elementor-widget-text-editor\" data-id=\"4f07b1a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Wi\u0119kszo\u015b\u0107 sensor\u00f3w posiada proste urz\u0105dzenia rezystancyjne. Cz\u0119\u015b\u0107 z nich jednak odczytuje tylko napi\u0119cie, nie op\u00f3r. Dodanie kolejnego rezystora do obwodu pozwala na stworzenie dzielnika napi\u0119cia w parze z sensorem. Mogli\u015bmy sprawdzi\u0107 napi\u0119cie wyj\u015bciowe w dzielniku, zatem mo\u017cemy teraz tak\u017ce obliczy\u0107 op\u00f3r dla sensora. Na przyk\u0142adowym obwodzie poni\u017cej sensor rezystancyjny to R2:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1aa17f6 elementor-widget elementor-widget-image\" data-id=\"1aa17f6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"254\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/odczytrezystor.png\" class=\"attachment-large size-large wp-image-5757\" alt=\"Schemat rezystor\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5edb0b7 elementor-widget elementor-widget-text-editor\" data-id=\"5edb0b7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>W tym przypadku nasz sensor to <b><a href=\"https:\/\/homebook.click\/grove-czujniki-temperatury-wilgotnosci-i-cisnienia\/11356-grove-analogowy-czujnik-temperatury-ntc.html\" data-wpel-link=\"internal\">analogowy czujnik temperatury NTC Grove<\/a><\/b>, kt\u00f3ry wykorzystuje termistor o oporze 350 \u03a9 &#8211; innymi s\u0142owy op\u00f3r R1 wynosi 350 \u03a9.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-795fb20 elementor-widget elementor-widget-heading\" data-id=\"795fb20\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Konwerter poziom\u00f3w logicznych<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dcc0ecd elementor-widget elementor-widget-text-editor\" data-id=\"dcc0ecd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Co si\u0119 stanie przy spotkaniu sensora i mikrokontrolera o r\u00f3\u017cnym napi\u0119ciu? Bez obni\u017cenia napi\u0119cia mikrokontroler o napi\u0119ciu wyj\u015bciowym 5 V w parze z sensorem o napi\u0119ciu wej\u015bciowym 3,3 V mo\u017ce uszkodzi\u0107 obw\u00f3d 3, 3 V. Ratunkiem, a raczej elementem przeciwdzia\u0142aj\u0105cym, jest u\u017cycie dzielnika napi\u0119cia, kt\u00f3ry dzia\u0142a jak konwerter poziom\u00f3w logicznych dla dw\u00f3ch obwod\u00f3w, kt\u00f3re operuj\u0105 na r\u00f3\u017cnych poziomach napi\u0119cia. Dzielnik obni\u017cy napi\u0119cie z mikrokontrolera (na tym przyk\u0142adzie: z 5 V do 3,3 V) w celu zapobie\u017cenia awarii. Nale\u017cy pami\u0119ta\u0107, \u017ce pracuje jednak tylko &#8220;jednokierunkowo&#8221; &#8211; obni\u017ca napi\u0119cie, ale nie podnosi go.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-745a825 elementor-widget elementor-widget-image\" data-id=\"745a825\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"601\" height=\"137\" src=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabelarezystory.png\" class=\"attachment-large size-large wp-image-5764\" alt=\"Tabela rezystor\u00f3w\" srcset=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabelarezystory.png 601w, https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/06\/tabelarezystory-300x68.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-30f3181 elementor-widget elementor-widget-text-editor\" data-id=\"30f3181\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Uwaga &#8211; tak du\u017cy spadek, jaki przedstawiono w \u015brodkowym wierszu tabeli (z 12 V do 3,3 V) nie jest zalecany &#8211; mo\u017ce spowodowa\u0107 stopienie si\u0119 rezystora. Zamiast tego zaleca si\u0119 u\u017cycie <a href=\"https:\/\/homebook.click\/14-regulatory-napiecia\" style=\"font-weight: bold;\" data-wpel-link=\"internal\">regulator\u00f3w napi\u0119cia<\/a>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t<div class=\"elementor-element elementor-element-5b1fe84 e-con-full border-section e-flex e-con e-child\" data-id=\"5b1fe84\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-866015b e-con-full e-flex e-con e-child\" data-id=\"866015b\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-18595b2 elementor-widget elementor-widget-heading\" data-id=\"18595b2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\">Tw\u00f3j \u015bwiat druku 3D w jednym miejscu<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b30c947 elementor-widget elementor-widget-text-editor\" data-id=\"b30c947\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/homebook.click\/842-drukarki-3d\" data-wpel-link=\"internal\">Drukarki 3D<\/a>, <a href=\"https:\/\/homebook.click\/930-filamenty\" data-wpel-link=\"internal\">filamenty<\/a>, <a href=\"https:\/\/homebook.click\/712-druk-3d\" data-wpel-link=\"internal\">cz\u0119\u015bci i akcesoria do druku 3D<\/a> oraz szeroki wyb\u00f3r elektroniki, <a href=\"https:\/\/homebook.click\/234-arduino\" data-wpel-link=\"internal\">Arduino<\/a>, <a href=\"https:\/\/homebook.click\/399-raspberry-pi\" data-wpel-link=\"internal\">Raspberry Pi<\/a> i robotyki. <strong>Sprawd\u017a pe\u0142n\u0105 ofert\u0119 Botland.<\/strong>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-c3283de e-con-full e-flex e-con e-child\" data-id=\"c3283de\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-500e9fa elementor-align-center btn-opt-class elementor-widget elementor-widget-button\" data-id=\"500e9fa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/homebook.click\/\" data-wpel-link=\"internal\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Zobacz sklep Botland<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Artyku\u0142 powsta\u0142 we wsp\u00f3\u0142pracy z autorem zewn\u0119trznym i jest publikowany go\u015bcinnie poza naszym standardowym procesem redakcyjnym. Traktuj go jako materia\u0142 uzupe\u0142niaj\u0105cy. Dzielnik napi\u0119cia to obw\u00f3d, kt\u00f3rego u\u017cywa si\u0119 w celu zmiany du\u017cego napi\u0119cia na mniejsze &#8211; pomaga w uzyskaniu okre\u015blonego stosunku pomi\u0119dzy napi\u0119ciem wej\u015bciowym a wyj\u015bciowym. W artykule przyjrzymy si\u0119 zwi\u0105zanym z nimi kwestiom i [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":118460,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[179,709],"tags":[147],"class_list":["post-5707","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kompendium","category-materialy-uzupelniajace","tag-elektronika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Dzielniki napi\u0119cia i wszystko, co musisz o nich wiedzie\u0107 - Botland<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/homebook.click\/blog\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dzielniki napi\u0119cia i wszystko, co musisz o nich wiedzie\u0107 - Botland\" \/>\n<meta property=\"og:description\" content=\"Artyku\u0142 powsta\u0142 we wsp\u00f3\u0142pracy z autorem zewn\u0119trznym i jest publikowany go\u015bcinnie poza naszym standardowym procesem redakcyjnym. Traktuj go jako materia\u0142 uzupe\u0142niaj\u0105cy. Dzielnik napi\u0119cia to obw\u00f3d, kt\u00f3rego u\u017cywa si\u0119 w celu zmiany du\u017cego napi\u0119cia na mniejsze &#8211; pomaga w uzyskaniu okre\u015blonego stosunku pomi\u0119dzy napi\u0119ciem wej\u015bciowym a wyj\u015bciowym. W artykule przyjrzymy si\u0119 zwi\u0105zanym z nimi kwestiom i [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/homebook.click\/blog\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\/\" \/>\n<meta property=\"og:site_name\" content=\"Botland\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/facebook.com\/Botland\/\" \/>\n<meta property=\"article:published_time\" content=\"2026-02-18T15:00:05+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-08-25T10:12:41+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/homebook.click\/blog\/wp-content\/uploads\/2020\/08\/botland_6.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1400\" \/>\n\t<meta property=\"og:image:height\" content=\"927\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Maciej Chmiel\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Maciej Chmiel\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minut\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/\"},\"author\":{\"name\":\"Maciej Chmiel\",\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/#\\\/schema\\\/person\\\/7dc2a9884b42767fa40ffc62d97e81a4\"},\"headline\":\"Dzielniki napi\u0119cia i wszystko, co musisz o nich wiedzie\u0107\",\"datePublished\":\"2026-02-18T15:00:05+00:00\",\"dateModified\":\"2026-08-25T10:12:41+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/\"},\"wordCount\":889,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/homebook.click\\\/blog\\\/wp-content\\\/uploads\\\/2020\\\/08\\\/botland_6.jpg\",\"keywords\":[\"elektronika\"],\"articleSection\":[\"Kompendium\",\"Materia\u0142y uzupe\u0142niaj\u0105ce\"],\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/\",\"url\":\"https:\\\/\\\/homebook.click\\\/blog\\\/dzielniki-napiecia-i-wszystko-co-musisz-o-nich-wiedziec-mat-uzup\\\/\",\"name\":\"Dzielniki napi\u0119cia i wszystko, co musisz o nich wiedzie\u0107 - 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