{"id":5478,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/complex\/"},"modified":"2021-02-26T09:51:50","modified_gmt":"2021-02-26T09:51:50","slug":"complex","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/complex\/","title":{"rendered":"COMPLEX"},"content":{"rendered":"<h2>\u00davod do pr\u00e1ce s komplexn\u00edmi \u010d\u00edsly<\/h2>\n<p>Komplexn\u00ed \u010d\u00edsla roz\u0161i\u0159uj\u00ed oblast re\u00e1ln\u00fdch \u010d\u00edsel a nach\u00e1zej\u00ed uplatn\u011bn\u00ed v oborech jako elektrotechnika, kvantov\u00e1 fyzika, aplikovan\u00e1 matematika a dal\u0161\u00ed in\u017een\u00fdrsk\u00e9 discipl\u00edny. Tanto MS Excel, jak i Google Sheets nab\u00edz\u00ed zabudovanou funkci, kter\u00e1 u\u017eivatel\u016fm umo\u017e\u0148uje pohodln\u011b manipulovat s komplexn\u00edmi \u010d\u00edsly. V n\u00e1sleduj\u00edc\u00edm textu se pod\u00edv\u00e1me na detaily t\u00e9to funkce a jej\u00ed praktick\u00e9 vyu\u017eit\u00ed ve va\u0161ich tabulk\u00e1ch.<\/p>\n<h2>Syntaxe a pou\u017eit\u00ed<\/h2>\n<pre> <p><code>COMPLEX(re\u00e1ln\u00e1_\u010d\u00e1st, imagin\u00e1rn\u00ed_\u010d\u00e1st, [jednotka])<\/code><\/p> <\/pre>\n<ul>\n<li><strong>re\u00e1ln\u00e1_\u010d\u00e1st:<\/strong> Hodnota re\u00e1ln\u00e9 \u010d\u00e1sti komplexn\u00edho \u010d\u00edsla.<\/li>\n<li><strong>imagin\u00e1rn\u00ed_\u010d\u00e1st:<\/strong> Hodnota imagin\u00e1rn\u00ed \u010d\u00e1sti komplexn\u00edho \u010d\u00edsla.<\/li>\n<li><strong>jednotka (voliteln\u00e1):<\/strong> Textov\u00fd \u0159et\u011bzec specifikuj\u00edc\u00ed symbol pro imagin\u00e1rn\u00ed jednotku, bu\u010f &#8222;i&#8220; nebo &#8222;j&#8220;. V\u00fdchoz\u00ed je &#8222;i&#8220;, pokud nen\u00ed specifikov\u00e1no jinak.<\/li>\n<\/ul>\n<p>P\u0159\u00edklad:<\/p>\n<pre> <code>=COMPLEX(3, 4)<\/code> \/\/ V\u00fdsledek: \"3+4i\" <\/pre>\n<h2>Aplikace v praxi<\/h2>\n<p>Komplexn\u00ed \u010d\u00edsla m\u016f\u017eeme vyu\u017e\u00edt v n\u00e1sleduj\u00edc\u00edch p\u0159\u00edkladech:<\/p>\n<h2>P\u0159\u00edklad 1: Elektrick\u00e9 in\u017een\u00fdrstv\u00ed<\/h2>\n<p>V elektrotechnice \u010dasto analyzujeme obvody s komplexn\u00edmi impedancemi. Nap\u0159\u00edklad, pokud pot\u0159ebujeme ur\u010dit celkovou impedanci obvodu s rezistory a c\u00edvkami zapojen\u00fdmi v s\u00e9rii:<\/p>\n<pre> <code>Rezistor (R): 50 \u03a9 C\u00edvka (L): j100 \u03a9 (imagin\u00e1rn\u00ed \u010d\u00e1st impedanci c\u00edvky p\u0159i ur\u010dit\u00e9 frekvenci)<\/code> <\/pre>\n<p>V\u00fdpo\u010det provedeme takto:<\/p>\n<pre> <code>=COMPLEX(50, 100, \"j\")<\/code> \/\/ V\u00fdsledek: \"50+100j\" <\/pre>\n<p>Tento v\u00fdsledek reprezentuje celkovou impedanci obvodu jako komplexn\u00ed \u010d\u00edslo.<\/p>\n<h2>P\u0159\u00edklad 2: V\u00fdpo\u010det proud\u016f a nap\u011bt\u00ed<\/h2>\n<p>P\u0159i v\u00fdpo\u010dtech proudu proch\u00e1zej\u00edc\u00edho obvodem s komplexn\u00ed impedanc\u00ed m\u016f\u017eeme vyu\u017e\u00edt komplexn\u00ed \u010d\u00edsla k ur\u010den\u00ed f\u00e1zov\u00e9ho posunu mezi nap\u011bt\u00edm a proudem. P\u0159edpokl\u00e1dejme, \u017ee zn\u00e1me nap\u011bt\u00ed a celkovou impedanci obvodu:<\/p>\n<table>\n<tr>\n<th>Nap\u011bt\u00ed (V)<\/th>\n<th>Impedance (Z)<\/th>\n<\/tr>\n<tr>\n<td>120 + 0j<\/td>\n<td>50 + 100j<\/td>\n<\/tr>\n<\/table>\n<p>Pro v\u00fdpo\u010det pou\u017eijeme Ohm\u016fv z\u00e1kon ve form\u011b komplexn\u00edch \u010d\u00edsel:<\/p>\n<pre> <p><code>Proud (I) = Nap\u011bt\u00ed (V) \/ Impedance (Z)<\/code><\/p> <p><code>=COMPLEX(120, 0) \/ COMPLEX(50, 100, \"j\")<\/code><\/p> <\/pre>\n<p>Tento p\u0159\u00edklad ukazuje, jak m\u016f\u017eeme v Excelu a Google Sheets vypo\u010d\u00edtat proud v obvodu za vyu\u017eit\u00ed komplexn\u00edch \u010d\u00edsel.<\/p>\n<p>S pomoc\u00ed funkc\u00ed pro manipulaci s komplexn\u00edmi \u010d\u00edsly v Excelu a Google Sheets lze zjednodu\u0161it pr\u00e1ci s daty v oborech, kde se setk\u00e1v\u00e1me s komplexn\u00edmi \u010d\u00edsly. Douf\u00e1m, \u017ee tento n\u00e1vod pom\u016f\u017ee k lep\u0161\u00edmu pochopen\u00ed jejich praktick\u00e9ho vyu\u017eit\u00ed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>P\u0159evede re\u00e1lnou a\u00a0imagin\u00e1rn\u00ed \u010d\u00e1st na\u00a0komplexn\u00ed \u010d\u00edslo<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[288],"tags":[],"class_list":["post-5478","post","type-post","status-publish","format-standard","hentry","category-inzenyrske"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkce COMPLEX v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije COMPLEX u Excelu i Google tablicama. 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