{"id":5114,"date":"2026-07-09T08:01:19","date_gmt":"2026-07-09T08:01:19","guid":{"rendered":"https:\/\/flj-pcb.com\/?p=5114"},"modified":"2026-07-09T08:01:24","modified_gmt":"2026-07-09T08:01:24","slug":"resistor-basics-functions-types-color-codes-ohms-law","status":"publish","type":"post","link":"https:\/\/flj-pcb.com\/bs\/resistor-basics-functions-types-color-codes-ohms-law\/","title":{"rendered":"Osnove otpornika: funkcije, vrste, boje kodovi i Ohmov zakon"},"content":{"rendered":"<style>\n\n        .article-container h1 {\n            font-weight: 700;\n            color: #1a202c;\n            line-height: 1.25;\n            border-left: 5px solid #FE5D00;\n            padding-left: 18px;\n            margin-bottom: 32px;\n        }\n\n        .article-container h2 {\n            font-weight: 700;\n            color: #1a202c;\n            margin-top: 56px;\n            margin-bottom: 20px;\n            padding-bottom: 8px;\n            border-bottom: 3px solid #FE5D00;\n            display: inline-block;\n        }\n\n        .article-container h3 {\n            font-weight: 600;\n            color: #FE5D00;\n            margin-top: 28px;\n            margin-bottom: 12px;\n        }\n\n        .article-container p {\n            margin-bottom: 16px;\n            color: #2d3748;\n        }\n\n        .article-container strong {\n            color: #1a202c;\n            font-weight: 600;\n        }\n\n        .article-container ul, ol {\n            margin-left: 28px;\n            margin-bottom: 16px;\n        }\n\n        .article-container li {\n            margin-bottom: 10px;\n        }\n\n        \/* Full-width image placeholder, no fixed height *\/\n        .img-placeholder {\n            width: 100%;\n            background-color: #e9ecef;\n            border: 1px solid #dee2e6;\n            border-radius: 4px;\n            display: flex;\n            align-items: center;\n            justify-content: center;\n            color: #6c757d;\n            font-style: italic;\n            padding: 72px 20px;\n            margin: 24px 0;\n            font-size: 15px;\n        }\n\n        \/* Formula highlight block *\/\n        .formula {\n            background-color: #fff7f0;\n            border-left: 3px solid #FE5D00;\n            padding: 14px 20px;\n            margin: 16px 0;\n            font-family: 'Courier New', Courier, monospace;\n            font-size: 1.05rem;\n            color: #1a202c;\n        }\n\n        \/* Responsive adaptation *\/\n        @media (max-width: 768px) {\n            .article-container {\n                padding: 40px 20px;\n            }\n\n            h1 {\n                font-size: 1.9rem;\n            }\n\n            h2 {\n                font-size: 1.45rem;\n            }\n\n            .img-placeholder {\n                padding: 50px 16px;\n                font-size: 14px;\n            }\n        }\n\n        .resistor-color-chart {\n            width: 100%;\n            border-collapse: collapse;\n            margin: 24px 0;\n            font-size: 0.95rem;\n        }\n\n        .resistor-color-chart caption {\n            font-size: 1.15rem;\n            font-weight: 600;\n            color: #1a202c;\n            text-align: left;\n            margin-bottom: 12px;\n        }\n\n        .resistor-color-chart th {\n            background-color: #FE5D00;\n            color: #ffffff;\n            padding: 12px 14px;\n            text-align: left;\n            font-weight: 600;\n        }\n\n        .resistor-color-chart td {\n            padding: 12px 14px;\n            border-bottom: 1px solid #e2e8f0;\n            vertical-align: middle;\n        }\n\n        .resistor-color-chart tr:nth-child(even) {\n            background-color: #f8fafc;\n        }\n\n        .resistor-color-chart tr:hover {\n            background-color: #fff7f2;\n        }\n\n        .color-swatch {\n            display: inline-block;\n            width: 22px;\n            height: 22px;\n            border-radius: 3px;\n            margin-right: 10px;\n            vertical-align: middle;\n            border: 1px solid #cbd5e0;\n        }\n    <\/style>\n<div class=\"article-container\">\n    <h1>Otpornici: principi, vrste i vodi\u010d za boje<\/h1>\n\n    <p>Glavna funkcija otpornika je ograni\u010diti struju, a time kontrolisati strujno kolo, usmjeriti istosmjernu struju na odre\u0111enu komponentu, za\u0161tititi drugu komponentu i tako dalje. Kao i obi\u010dno, prvo \u0107emo predstaviti princip i funkciju otpornika:<\/p>\n\n    <h2>1. Razumijevanje otpornika i simbola na strujnim krugovima<\/h2>\n    <p>Otpornik je jedna od najosnovnijih elektroni\u010dkih komponenti. Njegova funkcija je da ometa protok struje i uzrokuje pad napona. Obi\u010dno otpornik ima dva izlaza (leada) koji su povezani sa dva kraja ili strane tijela otpornika. Tijelo otpornika je obi\u010dno napravljeno od materijala sa relativno niskom provodljivo\u0161\u0107u. Jedinica otpora je ohm, ozna\u010den gr\u010dkim slovom \u03a9.<\/p>\n\n    <img decoding=\"async\" class=\"img-placeholder\" src=\"https:\/\/flj-pcb.com\/wp-content\/uploads\/2026\/07\/Resistor-Circuit-Symbols.png\"\n         alt=\"Resistor Circuit Symbols\">\n\n\n    <p>Na dijagramima kola, simbol otpornika prikazan je kao na gornjoj slici (lijevo: tradicionalni simbol kola; desno: noviji simbol evropskog stila). Na evropskim dijagramima kola ponekad se pojavljuje simbol ameri\u010dkog stila, i obrnuto. Slova K i M ozna\u010davaju kiloome (hiljadu oma) ili megoome (milion oma). Ovi kodovi slova se \u010de\u0161\u0107e koriste u Evropi, ali se pojavljuju i u SAD-u. Ponekad slovo mo\u017ee zamijeniti decimalnu ta\u010dku. Na primjer, otpornik od 4,7 k\u03a9 mo\u017ee se napisati kao 4k7, a otpornik od 3,3 M\u03a9 kao 3M3, i tako dalje.<\/p>\n\n    <h2>2. Glavne primjene otpornika<\/h2>\n    <p>Otpornici se \u010desto koriste za ograni\u010davanje brzine punjenja kondenzatora, za osiguravanje odgovaraju\u0107eg kontrolnog napona za poluvodi\u010de (kao \u0161to su bipolorni tranzistori), za za\u0161titu LED dioda ili drugih poluvodi\u010dkih dijelova od prekomjernog\n        struje, za pode\u0161avanje ili ograni\u010davanje frekvencije povratne sprege u audio sklopovima (zajedno s drugim komponentama), za podizanje ili spu\u0161tanje napona ulaznog pin-a u digitalnim logi\u010dkim sklopovima, ili za kontrolu vrijednosti napona na odre\u0111enoj ta\u010dki u sklopu. U ovoj posljednjoj primjeni, dva otpornika se mogu postaviti serijski kao podijelitelj napona. Ako je potrebna druga\u010dija otpornost, potenciometar se tako\u0111er mo\u017ee koristiti kao otpornik.<\/p>\n\n    <h2>3. Izgled, ocjena snage i tolerancija<\/h2>\n\n    <img decoding=\"async\" class=\"img-placeholder\"\n         src=\"https:\/\/flj-pcb.com\/wp-content\/uploads\/2026\/07\/Resistors-of-Different-Power-Ratings.webp\"\n         alt=\"Resistor Power Rating\">\n\n\n    <p>Slika 2 prikazuje otpornike razli\u010ditih snaga. Od lijeva ka desno, nazivne snage su 3 vata, 1 vat, 0,5 vata, 0,25 vata, 0,25 vata, 0,25 vata, 0,125 vata. Tolerancije, slijeva nadesno, su \u00b15%, 5%, 5%, 1%, 1%, 5% i 1%. Be\u017e tijelo otpornika zna\u010di toleranciju od 5%, dok plavo tijelo obi\u010dno zna\u010di toleranciju od 1% ili 2%. Tako\u0111er, plavi i tamno sme\u0111i otpornici sadr\u017ee dijelove s metalnim oksidnim filmom, dok be\u017e i zeleni otpornici sadr\u017ee ugljikni film. Ako je tijelo otpornika plave ili sme\u0111e boje, to zna\u010di da sadr\u017ei metalno-oksidni film. Ako je tijelo otpornika be\u017e ili zelene boje, to zna\u010di da sadr\u017ei uglji\u010dni film.<\/p>\n\n    <h2>4. Princip i formule za izra\u010dun<\/h2>\n    <h3>Pravilo<\/h3>\n    <p>U procesu ometanja struje i pada napona, otpornik apsorbuje elektri\u010dnu energiju i zatim je otpu\u0161ta kao toplotu. U ve\u0107ini modernih kola, raspr\u0161ena toplota je manja od jednog vata.<\/p>\n\n    <p>Ako R ozna\u010dava otpor (u ohmima), I ozna\u010dava struju koja prolazi kroz otpornik (u amperima), a V ozna\u010dava razliku potencijala (pad napona) preko otpornika, onda je prema Ohmovom zakonu odnos:<\/p>\n\n    <div class=\"formula\">V = I * R<\/div>\n\n    <p>Drugim rije\u010dima, otpornik od jednog oma zna\u010di da naponska razlika od jednog volta omogu\u0107ava prolaz struje od jednog ampera.<\/p>\n\n    <p>Ako W ozna\u010dava elektri\u010dnu snagu koju otpornik raspr\u0161uje (u vatima), onda u istosmjernom krugu:<\/p>\n\n    <div class=\"formula\">W = V * I<\/div>\n\n    <p>Preurediv\u0161i Ohmov zakon, mo\u017eemo izraziti snagu koriste\u0107i struju i otpor:<\/p>\n\n    <div class=\"formula\">Pobjeda je jednaka.<sup>2<\/sup> * R<\/div>\n\n    <p>Naravno, snagu mo\u017eemo izraziti i pomo\u0107u napona i otpora:<\/p>\n\n    <div class=\"formula\">W = V<sup>2<\/sup> \/ R<\/div>\n\n    <p>Ove zamjene formula mogu se koristiti za pronala\u017eenje vrijednosti kada ne znate napon ili struju.<\/p>\n\n    <p>U AC krugovima, odnos izme\u0111u ovih varijabli je sli\u010dan, samo je formula za snagu malo slo\u017eenija.<\/p>\n\n    <h2>5. Vrste otpornika<\/h2>\n    <ul>\n        <li>Aksijalni otpornici imaju okruglo tijelo s izlaznim vodom na svakom kraju. Radijalni otpornici su rje\u0111i; imaju dva paralelna voda koja izlaze iz jednog kraja tijela.\n        <\/li>\n        <li>Precizni otpornici se obi\u010dno definiraju kao oni s tolerancijom manjom od \u00b11%.<\/li>\n        <li>Op\u0161ti otpornici imaju lo\u0161iju stabilnost i njihove vrijednosti su manje precizne.<\/li>\n        <li>Otpornici za napajanje obi\u010dno rasipaju od jednog do dva vata ili vi\u0161e elektri\u010dne energije. Posebno se koriste u napojnim izvorima ili poja\u010dalima snage. Obi\u010dno su ovi otpornici ve\u0107i i mogu zahtijevati hladnjak ili ventilator.\n        <\/li>\n        <li>\u017di\u010dano namotani otpornici se koriste tamo gdje dio treba izdr\u017eati toplotu. Obi\u010dno \u017ei\u010dano namotani otpornik ima cijev otpornu na toplotu ili ravno\/cilindri\u010dno tijelo, namotano s mnogo slojeva za\u0161titne \u017eice. Materijal \u017eice je \u010desto nikrom (Ni-chrome), oblo\u017een plasti\u010dnim slojem. Temperatura \u0161tampane plo\u010dice mora biti ograni\u010dena jer toplota koja se stvara kada struja prolazi kroz \u017eicu mo\u017ee uzrokovati probleme. Ali u svakodnevnim aparatima kao \u0161to su fenovi za kosu, tosteri i grija\u010di s ventilatorom, dijelovi od nikroma se obi\u010dno koriste za stvaranje toplote. Tako\u0111er, \u017earulje otpornice namotane \u017eicom koriste se u 3D \u0161tampa\u010dima za taljenje plastike (ili drugih spojeva) i izbacivanje proizvoda.\n        <\/li>\n    <\/ul>\n\n    <ul>\n        <li>Tankoslojni otpornici ponekad se izra\u0111uju u ravnom kvadratnom obliku. Desna slika prikazuje primjer; ravna povr\u0161ina mo\u017ee rasipati 10 vata, a vrijednost otpora je 1 k\u03a9.\n            <img decoding=\"async\" src=\"https:\/\/flj-pcb.com\/wp-content\/uploads\/2026\/07\/Thick-film-resistors.webp\"\n                 alt=\"Thick film resistors.webp\" class=\"img-placeholder\">\n        <\/li>\n\n        <li>Povr\u0161inski montirani otpornici obi\u010dno sadr\u017ee sloj otpornog tinta otisnutog na tijelu od alumine i keramike. Uobi\u010dajena veli\u010dina je \u0161est milimetara, \u0161to je 2512 paket. Svaki povr\u0161inski montirani otpornik ima dva niklirana terminala sa slojem kalaja koji se topi pri spajanju sa \u0161tampanom plo\u010dicom. Tako\u0111er, gornja povr\u0161ina je obi\u010dno prekrivena crnim kru\u017enim slojem epoksidne smole kako bi se za\u0161titilo tijelo otpornika.\n        <\/li>\n    <\/ul>\n\n    <h2>6. Kodiranje vrijednosti<\/h2>\n\n    <h3>6.1 Tradicionalni sistem kodiranja boja<\/h3>\n    <p>Tradicionalno, aksijalni otpornici sa provla\u010dnim kontaktima ozna\u010deni su sa tri bojne trake kako bi se prikazala vrijednost otpora. Prve dvije trake predstavljaju po jedan znamenak od 0 do 9. Tre\u0107a traka ozna\u010dava multiplikator (mo\u0107 desetice, odnosno koliko nula treba dodati, od nule do devet). Tako\u0111er, mo\u017ee postojati i \u010detvrta traka, srebrna ili zlatna, koja ozna\u010dava toleranciju od \u00b110% ili \u00b15%. Me\u0111utim, ova oznaka je danas rje\u0111a.<\/p>\n\n    <p>Trenutno mnogi otpornici imaju pet bojenih prstenova. To olak\u0161ava prikazivanje me\u0111uvrijednosti ili decimalnih vrijednosti.\n        U ovom sistemu prve tri trake predstavljaju vrijednost (isti sistem cifara kao i prije), \u010detvrta traka je\nmno\u017eitelj (mo\u0107 desetice), a peta traka na drugom kraju otpornika pokazuje toleranciju.<\/p>\n\n    <p>Na donjoj tablici, cifreni ili decimalni vrijednosti prikazani su na vrhu u obliku \u201cspektra\u201d, a tolerancija (ili preciznost) prikazana je ispod srebrnom, zlatnom i drugim bojama kao \u00b1 procenat.<\/p>\n\n    <table class=\"resistor-color-chart\">\n        <caption>Tabela boja za otpornike<\/caption>\n        <thead>\n        <tr>\n            <th>Boja<\/th>\n            <th>Digi<\/th>\n            <th>Mno\u017eitelj (10<sup>iks<\/sup>)<\/th>\n            <th>Tolerancija<\/th>\n        <\/tr>\n        <\/thead>\n        <tbody>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #000000;\"><\/span>Crni<\/td>\n            <td>0<\/td>\n            <td>deset puta<sup>0<\/sup> (put)<\/td>\n            <td>&#8211;<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #795548;\"><\/span>Sme\u0111i<\/td>\n            <td>1<\/td>\n            <td>deset puta<sup>1<\/sup> (\u00d710)<\/td>\n            <td>\u00b11%<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #f44336;\"><\/span>Crvena<\/td>\n            <td>2<\/td>\n            <td>deset puta<sup>2<\/sup> (\u00d7100)<\/td>\n            <td>\u00b12%<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #ff9800;\"><\/span>Naran\u010dasta<\/td>\n            <td>3<\/td>\n            <td>deset puta<sup>3<\/sup> (\u00d71.000)<\/td>\n            <td>&#8211;<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #ffeb3b;\"><\/span>\u017duto<\/td>\n            <td>4<\/td>\n            <td>deset puta<sup>4<\/sup> (\u00d710.000)<\/td>\n            <td>&#8211;<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #4caf50;\"><\/span>Zeleni<\/td>\n            <td>5<\/td>\n            <td>deset puta<sup>5<\/sup> (\u00d7100.000)<\/td>\n            <td>\u00b10,51 TP3T<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #2196f3;\"><\/span>Plavo<\/td>\n            <td>6<\/td>\n            <td>deset puta<sup>6<\/sup> (\u00d71.000.000)<\/td>\n            <td>\u00b10.25%<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #9c27b0;\"><\/span>Vijoleta<\/td>\n            <td>7<\/td>\n            <td>deset puta<sup>7<\/sup><\/td>\n            <td>\u00b10,11 TP3T<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #9e9e9e;\"><\/span>Sivi<\/td>\n            <td>8<\/td>\n            <td>deset puta<sup>8<\/sup><\/td>\n            <td>\u00b10.05%<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #ffffff;\"><\/span>Bijeli<\/td>\n            <td>9<\/td>\n            <td>deset puta<sup>9<\/sup><\/td>\n            <td>&#8211;<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #ffc107;\"><\/span>Zlato<\/td>\n            <td>&#8211;<\/td>\n            <td>deset puta<sup>-1<\/sup> (dijeli 10)<\/td>\n            <td>\u00b15%<\/td>\n        <\/tr>\n        <tr>\n            <td><span class=\"color-swatch\" style=\"background-color: #b0bec5;\"><\/span>Srebrni<\/td>\n            <td>&#8211;<\/td>\n            <td>deset puta<sup>-2<\/sup> (\u00f7100)<\/td>\n            <td>\u00b110%<\/td>\n        <\/tr>\n        <tr>\n            <td>(Nema)<\/td>\n            <td>&#8211;<\/td>\n            <td>&#8211;<\/td>\n            <td>\u00b120%<\/td>\n        <\/tr>\n        <\/tbody>\n    <\/table>\n\n    <h3>6.2 Primjeri \u010ditanja \u0161ifre boja i va\u017ene napomene<\/h3>\n\n    <p>Na slici ispod nalaze se dva primjera bojnog koda otpornika.<\/p>\n\n    <img decoding=\"async\" class=\"img-placeholder\" src=\"https:\/\/flj-pcb.com\/wp-content\/uploads\/2026\/07\/Resistor-Color-Code-Examples.webp\"\n         alt=\"Resistor Color Code Examples\">\n\n\n    <p>Gornja vrijednost otpornika je 1k. Od lijeva ka desno: sme\u0111a, crna (1, 0), zatim tre\u0107a traka je crvena (\u0161to zna\u010di da se dodaje dvije nule). Na kraju, zlatna traka ozna\u010dava toleranciju od 5%. Vrijednost donjeg otpornika je 1,05 k\u03a9. Od lijeva\n prema desno: sme\u0111a, crna, zelena (1, 0, 5), nakon \u010dega slijedi \u010detvrta sme\u0111a traka (\u0161to zna\u010di da se dodaje jedna nula). Crna traka na\n samoj desnoj strani ozna\u010dava toleranciju od 1%.<\/p>\n\n    <p>Prije mnogo vremena, otpornici su ponekad bili kodirani sistemom boja tijela-vrha-ta\u010dke. U tom sistemu, boja tijela je bila prva znamenka, boja vrha druga znamenka, a ta\u010dka je ozna\u010davala broj nula. Spektar znamenki u ovom sistemu je potpuno isti kao i prethodno spomenuti.<\/p>\n\n    <p>U svim modernim sistemima kodiranja, prve tri ili \u010detiri trake koje pokazuju vrijednost su blizu jedna drugoj, s ve\u0107im razmakom izme\u0111u njih i trake za toleranciju. Prilikom \u010ditanja traka, tri ili \u010detiri trake s vrijedno\u0161\u0107u trebaju biti na lijevoj strani. Me\u0111utim, zbunjuju\u0107e je \u0161to neki otpornici koriste prve tri trake za vrijednost, \u010detvrtu traku za toleranciju, a petu traku na drugom kraju za preciznost. Ali ovaj sistem je prili\u010dno rijedak. Tako\u0111er, u nekim posebnim primjenama koriste se drugi sistemi kodiranja, kao \u0161to je slu\u010daj kod vojne opreme.<\/p>\n\n    <h3>6.3 Digitalno kodiranje za povr\u0161inske otpornike<\/h3>\n    <p>Tako\u0111er, neki moderni otpornici imaju svoju vrijednost otisnutu direktno u ciframa na tijelu. Otpornici za povr\u0161insku monta\u017eu su tako\u0111er ozna\u010deni ciframa, ali to je sistem kodiranja i ne bi se trebalo \u010ditati direktno kao vrijednost. Posljednja cifra govori koliko nula slijedi iza vrijednosti, a sljede\u0107e dvije ili tri cifre predstavljaju samu vrijednost. Slovo R se koristi za ozna\u010davanje decimalne ta\u010dke. Dakle, povr\u0161inski monta\u017eni otpornik ozna\u010den sa 3R3 ima vrijednost od 3,3 oma. 330 zna\u010di 33 oma. 332 zna\u010di 3.300 oma. Povr\u0161inski monta\u017eni otpornik s oznakom 2152 ima vrijednost od 21.500 oma.<\/p>\n\n    <p>Postoji vrsta povr\u0161inskog otpornika s oznakom nula. To zna\u010di da je to otpornik od nula oma, a njegova funkcija je zapravo ista kao kod kratkospojnika. To je u\u010dinjeno radi prakti\u010dnosti, kako bi ga mogla postaviti automatizirana monta\u017ena oprema. Njegova funkcija je vrlo jednostavna: povezati dijelove na tiskanoj plo\u010dici.<\/p>\n\n    <h3>6.4 Praksa ozna\u010davanja nominalne vrijednosti otpora na dijagramima kola<\/h3>\n    <p>Kada je vrijednost otpora otisnuta na \u0161ematskim dijagramima, lo\u0161 kvalitet kopije mo\u017ee uzrokovati gubitak decimalne ta\u010dke ili stvoriti mrlje koje se mogu zamijeniti za decimalnu ta\u010dku. Da bi se rije\u0161io ovaj problem, evropski sistem koristi slovo umjesto decimalne ta\u010dke. Dakle, otpornik od 5,6 k\u03a9 se ozna\u010dava kao 5k6, a otpornik od 3,3 M\u03a9 kao 3M3. Me\u0111utim, ova praksa ozna\u010davanja nije mnogo uobi\u010dajena u SAD-u.<\/p>\n\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Resistors: Principles, Types, and Color Code Guide The main function of a resistor is to limit current, and by doing 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