{"id":10456,"date":"2025-07-15T13:34:49","date_gmt":"2025-07-15T13:34:49","guid":{"rendered":"https:\/\/functiontranslator.com\/arg-liczby-zesp\/"},"modified":"2021-02-26T05:11:31","modified_gmt":"2021-02-26T05:11:31","slug":"imargument","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/imargument\/","title":{"rendered":"ARG.LICZBY.ZESP"},"content":{"rendered":"<h2>Opis funkcji<\/h2>\n<p>ARG.LICZBY.ZESP, znana w \u015brodowisku MS Excel jako IMARGUMENT, to funkcja u\u017cywana do obliczania argumentu liczby zespolonej. Argument okre\u015bla k\u0105t pomi\u0119dzy dodatni\u0105 osi\u0105 rzeczywist\u0105 a reprezentacj\u0105 graficzn\u0105 liczby zespolonej na uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych. Wynik funkcji jest podawany w radianach.<\/p>\n<h2>Syntaksis<\/h2>\n<p><strong>MS Excel:<\/strong><\/p>\n<pre><code>=IMARGUMENT(\"liczba_zespolona\")<\/code><\/pre>\n<p><strong>Google Tablice:<\/strong><\/p>\n<pre><code>=ARG.LICZBY.ZESP(\"liczba_zespolona\")<\/code><\/pre>\n<p>Gdzie <i>&#8222;liczba_zespolona&#8221;<\/i> jest tekstem reprezentuj\u0105cym liczb\u0119 zespolon\u0105 (np. &#8222;3+4i&#8221;).<\/p>\n<h2>Przyk\u0142ady u\u017cycia<\/h2>\n<ul>\n<li>\n<p><code>=IMARGUMENT(\"1+1i\")<\/code> &#8211; oblicza argument liczby zespolonej 1 + 1i, otrzymuj\u0105c wynik oko\u0142o 0.785 radian\u00f3w, co odpowiada k\u0105towi 45 stopni.<\/p>\n<\/li>\n<li>\n<p><code>=ARG.LICZBY.ZESP(\"0-1i\")<\/code> &#8211; oblicza argument liczby zespolonej 0 &#8211; 1i w Google Tablice, z wynikiem oko\u0142o 1.571 radian\u00f3w (90 stopni).<\/p>\n<\/li>\n<\/ul>\n<h2>Zastosowania praktyczne<\/h2>\n<p>Oto dwa praktyczne zastosowania funkcji:<\/p>\n<h2>Przyk\u0142ad 1: Analiza fazy sygna\u0142\u00f3w zespolonych<\/h2>\n<p>W elektrotechnice i przetwarzaniu sygna\u0142\u00f3w, faza sygna\u0142u zespolonego jest kluczowym parametrem. Maj\u0105c sygna\u0142 reprezentowany przez liczb\u0119 zespolon\u0105 &#8222;3+4i&#8221;, mo\u017cemy obliczy\u0107 jego faz\u0119 u\u017cywaj\u0105c:<\/p>\n<pre><code>=IMARGUMENT(\"3+4i\")<\/code><\/pre>\n<p>Wynik, kt\u00f3ry otrzymamy, to oko\u0142o 0.927 radian\u00f3w, co informuje, \u017ce faza sygna\u0142u wynosi oko\u0142o 53.1 stopnia wzgl\u0119dem osi rzeczywistej.<\/p>\n<h2>Przyk\u0142ad 2: Sprawdzanie k\u0105ta mi\u0119dzy dwoma impedancjami<\/h2>\n<p>W elektrotechnice, k\u0105t mi\u0119dzy impedancjami mo\u017ce wp\u0142ywa\u0107 na charakterystyk\u0119 obwodu. Posiadaj\u0105c dwie impedancje reprezentowanane przez liczby zespolone, Z1 = &#8222;2+2i&#8221; i Z2 = &#8222;1+3i&#8221;, mo\u017cemy obliczy\u0107 ich argumenty i por\u00f3wna\u0107 r\u00f3\u017cnic\u0119 k\u0105t\u00f3w:<\/p>\n<pre><code>Argument Z1: =IMARGUMENT(\"2+2i\") \/\/ Wynik: oko\u0142o 0.785 radiany Argument Z2: =IMARGUMENT(\"1+3i\") \/\/ Wynik: oko\u0142o 1.249 radiany R\u00f3\u017cnica k\u0105t\u00f3w: =ABS(IMARGUMENT(\"2+2i\") - IMARGUMENT(\"1+3i\")) \/\/ Wynik: oko\u0142o 0.464 radiany<\/code><\/pre>\n<p>Obliczenie tej r\u00f3\u017cnicy k\u0105t\u00f3w mo\u017ce by\u0107 przydatne do analizy zachowania obwodu przy r\u00f3\u017cnych konfiguracjach.<\/p>\n<p> <\/body> <\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zwraca warto\u015b\u0107 argumentu liczby zespolonej, przy czym k\u0105t wyra\u017cony jest w radianach<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[429],"tags":[],"class_list":["post-10456","post","type-post","status-publish","format-standard","hentry","category-inzynierskie"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji IMARGUMENT (ARG.LICZBY.ZESP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/functiontranslator.com\/pl\/imargument\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\" \/>\n<meta property=\"og:description\" content=\"Opis funkcji IMARGUMENT (ARG.LICZBY.ZESP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/pl\/imargument\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:49+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T05:11:31+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"glavadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/functiontranslator.com\/pl\/imargument\/\",\"url\":\"https:\/\/functiontranslator.com\/pl\/imargument\/\",\"name\":\"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:49+00:00\",\"dateModified\":\"2021-02-26T05:11:31+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Opis funkcji IMARGUMENT (ARG.LICZBY.ZESP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/pl\/imargument\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/pl\/imargument\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/pl\/imargument\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Funkcje programu Excel\",\"item\":\"https:\/\/functiontranslator.com\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"In\u017cynierskie\",\"item\":\"https:\/\/functiontranslator.com\/pl\/inzynierskie\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"ARG.LICZBY.ZESP\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\",\"url\":\"https:\/\/functiontranslator.com\/no\/\",\"name\":\"Function Translator\",\"description\":\"Excel function translator\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/functiontranslator.com\/no\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\",\"name\":\"glavadmin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"caption\":\"glavadmin\"},\"sameAs\":[\"https:\/\/functiontranslator.com\"],\"url\":\"https:\/\/functiontranslator.com\/pl\/author\/glavadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","description":"Opis funkcji IMARGUMENT (ARG.LICZBY.ZESP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/functiontranslator.com\/pl\/imargument\/","og_locale":"pl_PL","og_type":"article","og_title":"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","og_description":"Opis funkcji IMARGUMENT (ARG.LICZBY.ZESP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","og_url":"https:\/\/functiontranslator.com\/pl\/imargument\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:49+00:00","article_modified_time":"2021-02-26T05:11:31+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","twitter_misc":{"Napisane przez":"glavadmin","Szacowany czas czytania":"1 minuta"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/functiontranslator.com\/pl\/imargument\/","url":"https:\/\/functiontranslator.com\/pl\/imargument\/","name":"Funkcja IMARGUMENT (ARG.LICZBY.ZESP) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:49+00:00","dateModified":"2021-02-26T05:11:31+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Opis funkcji IMARGUMENT (ARG.LICZBY.ZESP) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/pl\/imargument\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/pl\/imargument\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/pl\/imargument\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Funkcje programu Excel","item":"https:\/\/functiontranslator.com\/pl\/"},{"@type":"ListItem","position":2,"name":"In\u017cynierskie","item":"https:\/\/functiontranslator.com\/pl\/inzynierskie\/"},{"@type":"ListItem","position":3,"name":"ARG.LICZBY.ZESP"}]},{"@type":"WebSite","@id":"https:\/\/functiontranslator.com\/no\/#website","url":"https:\/\/functiontranslator.com\/no\/","name":"Function Translator","description":"Excel function translator","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/functiontranslator.com\/no\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"pl-PL"},{"@type":"Person","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389","name":"glavadmin","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","caption":"glavadmin"},"sameAs":["https:\/\/functiontranslator.com"],"url":"https:\/\/functiontranslator.com\/pl\/author\/glavadmin\/"}]}},"_links":{"self":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10456","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/comments?post=10456"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10456\/revisions"}],"predecessor-version":[{"id":27771,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10456\/revisions\/27771"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/media?parent=10456"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/categories?post=10456"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/tags?post=10456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}