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Valgustustihedus – Vikipeedia

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<li id="toc-Arvutusnäide" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Arvutusnäide"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Arvutusnäide</span> </div> </a> <ul id="toc-Arvutusnäide-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Valgustustiheduse_näiteid" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Valgustustiheduse_näiteid"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Valgustustiheduse näiteid</span> </div> </a> <ul id="toc-Valgustustiheduse_näiteid-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vaata_ka" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vaata_ka"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Vaata ka</span> </div> </a> <ul id="toc-Vaata_ka-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Viited" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Viited"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Viited</span> </div> </a> <ul id="toc-Viited-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Sisukord" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Lülita sisukord ümber" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" 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Saadaval 47 keeles" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-47" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">47 keelt</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D8%B3%D8%AA%D8%B6%D8%A7%D8%A1%D8%A9" title="استضاءة – araabia" lang="ar" hreflang="ar" data-title="استضاءة" data-language-autonym="العربية" data-language-local-name="araabia" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C4%B0%C5%9F%C4%B1qlanma_d%C9%99r%C9%99c%C9%99si" title="İşıqlanma dərəcəsi – aserbaidžaani" lang="az" hreflang="az" data-title="İşıqlanma dərəcəsi" data-language-autonym="Azərbaycanca" data-language-local-name="aserbaidžaani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A6%E0%A7%80%E0%A6%AA%E0%A6%A8" title="দীপন – bengali" lang="bn" hreflang="bn" data-title="দীপন" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D1%81%D1%8C%D0%B2%D0%B5%D1%82%D0%BB%D0%B5%D0%BD%D0%B0%D1%81%D1%8C%D1%86%D1%8C" title="Асьветленасьць – valgevene (taraškievitsa)" lang="be-tarask" hreflang="be-tarask" data-title="Асьветленасьць" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="valgevene (taraškievitsa)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Beleichtungsst%C3%A4rkn" title="Beleichtungsstärkn – baieri" lang="bar" hreflang="bar" data-title="Beleichtungsstärkn" data-language-autonym="Boarisch" data-language-local-name="baieri" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D1%81%D0%B2%D0%B5%D1%82%D0%B5%D0%BD%D0%BE%D1%81%D1%82" title="Осветеност – bulgaaria" lang="bg" hreflang="bg" data-title="Осветеност" data-language-autonym="Български" data-language-local-name="bulgaaria" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Il%C2%B7luminaci%C3%B3_(fotometria)" title="Il·luminació (fotometria) – katalaani" lang="ca" hreflang="ca" data-title="Il·luminació (fotometria)" data-language-autonym="Català" data-language-local-name="katalaani" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%C3%87%D1%83%D1%82%D0%B0%D0%BB%D0%BD%C4%83%D0%BB%C4%83%D1%85" title="Çуталнăлăх – tšuvaši" lang="cv" hreflang="cv" data-title="Çуталнăлăх" data-language-autonym="Чӑвашла" data-language-local-name="tšuvaši" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Intenzita_osv%C4%9Btlen%C3%AD" title="Intenzita osvětlení – tšehhi" lang="cs" hreflang="cs" data-title="Intenzita osvětlení" data-language-autonym="Čeština" data-language-local-name="tšehhi" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Beleuchtungsst%C3%A4rke" title="Beleuchtungsstärke – saksa" lang="de" hreflang="de" data-title="Beleuchtungsstärke" data-language-autonym="Deutsch" data-language-local-name="saksa" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%88%CE%BD%CF%84%CE%B1%CF%83%CE%B7_%CF%86%CF%89%CF%84%CE%B9%CF%83%CE%BC%CE%BF%CF%8D" title="Ένταση φωτισμού – kreeka" lang="el" hreflang="el" data-title="Ένταση φωτισμού" data-language-autonym="Ελληνικά" data-language-local-name="kreeka" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Illuminance" title="Illuminance – inglise" lang="en" hreflang="en" data-title="Illuminance" data-language-autonym="English" data-language-local-name="inglise" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B4%D8%AF%D8%AA_%D8%B1%D9%88%D8%B4%D9%86%D8%A7%DB%8C%DB%8C" title="شدت روشنایی – pärsia" lang="fa" hreflang="fa" data-title="شدت روشنایی" data-language-autonym="فارسی" data-language-local-name="pärsia" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/%C3%89clairement_lumineux" title="Éclairement lumineux – prantsuse" lang="fr" hreflang="fr" data-title="Éclairement lumineux" data-language-autonym="Français" data-language-local-name="prantsuse" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Soilseas" title="Soilseas – iiri" lang="ga" hreflang="ga" data-title="Soilseas" data-language-autonym="Gaeilge" data-language-local-name="iiri" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A1%B0%EB%8F%84_(%EA%B4%91%ED%95%99)" title="조도 (광학) – korea" lang="ko" hreflang="ko" data-title="조도 (광학)" data-language-autonym="한국어" data-language-local-name="korea" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BC%D5%B8%D6%82%D5%BD%D5%A1%D5%BE%D5%B8%D6%80%D5%BE%D5%A1%D5%AE%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Լուսավորվածություն – armeenia" lang="hy" hreflang="hy" data-title="Լուսավորվածություն" data-language-autonym="Հայերեն" data-language-local-name="armeenia" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Osvjetljenje" title="Osvjetljenje – horvaadi" lang="hr" hreflang="hr" data-title="Osvjetljenje" data-language-autonym="Hrvatski" data-language-local-name="horvaadi" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/L%C3%BDsing" title="Lýsing – islandi" lang="is" hreflang="is" data-title="Lýsing" data-language-autonym="Íslenska" data-language-local-name="islandi" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Illuminamento" title="Illuminamento – itaalia" lang="it" hreflang="it" data-title="Illuminamento" data-language-autonym="Italiano" data-language-local-name="itaalia" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%92%E1%83%90%E1%83%9C%E1%83%90%E1%83%97%E1%83%94%E1%83%91%E1%83%A3%E1%83%9A%E1%83%9D%E1%83%91%E1%83%90" title="განათებულობა – gruusia" lang="ka" hreflang="ka" data-title="განათებულობა" data-language-autonym="ქართული" data-language-local-name="gruusia" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%96%D0%B0%D1%80%D1%8B%D2%9B%D1%82%D0%B0%D0%BD%D0%B4%D1%8B%D1%80%D1%83" title="Жарықтандыру – kasahhi" lang="kk" hreflang="kk" data-title="Жарықтандыру" data-language-autonym="Қазақша" data-language-local-name="kasahhi" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Sy%C3%A8k_di_s%C3%A9_Limy%C3%A8r" title="Syèk di sé Limyèr – Guajaana kreoolkeel" lang="gcr" hreflang="gcr" data-title="Syèk di sé Limyèr" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guajaana kreoolkeel" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Virsmas_apgaismojums" title="Virsmas apgaismojums – läti" lang="lv" hreflang="lv" data-title="Virsmas apgaismojums" data-language-autonym="Latviešu" data-language-local-name="läti" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ap%C5%A1vieta" title="Apšvieta – leedu" lang="lt" hreflang="lt" data-title="Apšvieta" data-language-autonym="Lietuvių" data-language-local-name="leedu" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9E%D1%81%D0%B2%D0%B5%D1%82%D0%BB%D0%B5%D0%BD%D0%BE%D1%81%D1%82" title="Осветленост – makedoonia" lang="mk" hreflang="mk" data-title="Осветленост" data-language-autonym="Македонски" data-language-local-name="makedoonia" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%87%E0%B4%B2%E0%B5%8D%E0%B4%B2%E0%B5%82%E0%B4%AE%E0%B4%BF%E0%B4%A8%E0%B5%BB%E0%B4%B8%E0%B5%8D" title="ഇല്ലൂമിനൻസ് – malajalami" lang="ml" hreflang="ml" data-title="ഇല്ലൂമിനൻസ്" data-language-autonym="മലയാളം" data-language-local-name="malajalami" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Verlichtingssterkte" title="Verlichtingssterkte – hollandi" lang="nl" hreflang="nl" data-title="Verlichtingssterkte" data-language-autonym="Nederlands" data-language-local-name="hollandi" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%85%A7%E5%BA%A6" title="照度 – jaapani" lang="ja" hreflang="ja" data-title="照度" data-language-autonym="日本語" data-language-local-name="jaapani" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Belysningsstyrke" title="Belysningsstyrke – norra bokmål" lang="nb" hreflang="nb" data-title="Belysningsstyrke" data-language-autonym="Norsk bokmål" data-language-local-name="norra bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Illuminans" title="Illuminans – uusnorra" lang="nn" hreflang="nn" data-title="Illuminans" data-language-autonym="Norsk nynorsk" data-language-local-name="uusnorra" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Yoritilganlik" title="Yoritilganlik – usbeki" lang="uz" hreflang="uz" data-title="Yoritilganlik" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbeki" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Nat%C4%99%C5%BCenie_o%C5%9Bwietlenia" title="Natężenie oświetlenia – poola" lang="pl" hreflang="pl" data-title="Natężenie oświetlenia" data-language-autonym="Polski" data-language-local-name="poola" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Iluminamento" title="Iluminamento – portugali" lang="pt" hreflang="pt" data-title="Iluminamento" data-language-autonym="Português" data-language-local-name="portugali" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D1%81%D0%B2%D0%B5%D1%89%D1%91%D0%BD%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Освещённость – vene" lang="ru" hreflang="ru" data-title="Освещённость" data-language-autonym="Русский" data-language-local-name="vene" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Intenzita_osvetlenia" title="Intenzita osvetlenia – slovaki" lang="sk" hreflang="sk" data-title="Intenzita osvetlenia" data-language-autonym="Slovenčina" data-language-local-name="slovaki" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Osvetljenost" title="Osvetljenost – sloveeni" lang="sl" hreflang="sl" data-title="Osvetljenost" data-language-autonym="Slovenščina" data-language-local-name="sloveeni" 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valgustustihedus </td></tr> <tr> <td>Suuruse tähis: <i>E</i> või <i>E</i><sub>v</sub> </td></tr> <tr> <td><a href="/wiki/SI" title="SI">SI</a> ühiku nimi: <a href="/wiki/Luks" title="Luks">luks</a> </td></tr> <tr> <td>SI ühiku tähis: lx </td></tr></tbody></table> <p><b>Valgustustihedus</b> (ingl k <i>illuminance</i>) ehk valgustatus ehk valgustustugevus on valgussuurus, mis väljendab valgustatava pinna ühikule langevat <a href="/wiki/Valgusvoog" title="Valgusvoog">valgusvoogu</a>. </p><p>Valgustustiheduse ühik on <a href="/wiki/Luks" title="Luks">luks</a>, kusjuures 1 lx = 1 lm/m<sup>2</sup>. Seega kui 1 ruutmeetri suurusele pinnale langeb valgusvoog 1 luumen, siis on selle pinna valgustustihedus 1 luks. </p><p><br /> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Valgustustiheduse_definitsioon">Valgustustiheduse definitsioon</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Valgustustihedus&amp;veaction=edit&amp;section=1" title="Muuda alaosa &quot;Valgustustiheduse definitsioon&quot;" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Valgustustihedus&amp;action=edit&amp;section=1" title="Muuda alaosa &quot;Valgustustiheduse definitsioon&quot; lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>valgustustihedus <i>E</i> (pinna punktis) on antud punkti sisaldavale pinnaelemendile langeva valgusvoo d<i>Φ</i> ja selle elemendi pindala d<i>A</i> jagatis: <sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E\,=\,{\frac {\mathrm {d} \Phi }{\mathrm {d} A}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi mathvariant="normal">&#x03A6;<!-- Φ --></mi> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>A</mi> </mrow> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\,=\,{\frac {\mathrm {d} \Phi }{\mathrm {d} A}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/17742547bc6117e27d95f7b956770948862dee34" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:10.167ex; height:5.509ex;" alt="{\displaystyle E\,=\,{\frac {\mathrm {d} \Phi }{\mathrm {d} A}}.}"></span></dd></dl> <p>Juhul kui valgustustihedus on pindala <i>A</i> ulatuses konstantne, pole vaja diferentsiaalsuurusi kasutada ja valgustustiheduse saab arvutada valemiga </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E\,=\,{\frac {\Phi }{A}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi mathvariant="normal">&#x03A6;<!-- Φ --></mi> <mi>A</mi> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\,=\,{\frac {\Phi }{A}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ad9e80cdc92898aa31763c9cc31442c599629e4c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.874ex; height:5.343ex;" alt="{\displaystyle E\,=\,{\frac {\Phi }{A}}.}"></span></dd></dl> <p>Seesama lihtne valem on kasutatav samuti siis, kui valgusvoog pinna eri punktides pole küll ühesuurune, kuid <i>Φ</i> väljendab valgusvoo keskmist väärtust. </p><p>Valgustustihedust saab avaldada ka pinda valgustava allika <a href="/wiki/Valgustugevus" title="Valgustugevus">valgustugevuse</a> <i>I</i> kaudu: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E\,=\,{\frac {I}{r^{2}}}\cdot \cos \,\vartheta ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>I</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>cos</mi> <mspace width="thinmathspace" /> <mi>&#x03D1;<!-- ϑ --></mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\,=\,{\frac {I}{r^{2}}}\cdot \cos \,\vartheta ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc4cc3f1ac824e3642627b9c4fe3cc0fd712e63c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:16.172ex; height:5.509ex;" alt="{\displaystyle E\,=\,{\frac {I}{r^{2}}}\cdot \cos \,\vartheta ,}"></span></dd></dl> <p>kus </p> <dl><dd><i>r</i> on valgustatava pinna kaugus valgusallikast,</dd> <dd><i>ϑ</i> on nurk pinna normaali (ristsirge) ja valgusallika suuna vahel.</dd></dl> <p>Nagu valemist näha, väheneb valgustustihedus koos kauguse <i>r</i> ruuduga. Valem kehtib punktvalgusallika korral (selliseks allikaks võib lugeda nt läbipaistva kolviga lambi hõõgniidi). </p> <table class="wikitable" style="float: right"> <tbody><tr> <th>Avanurk <i>α</i> </th> <th>Ruuminurk <i>Ω</i> </th></tr> <tr> <td>360° </td> <td>(4π =) 12,566 sr </td></tr> <tr> <td>270° </td> <td>10,726 sr </td></tr> <tr> <td>180° </td> <td>(2π =) 6,283 sr </td></tr> <tr> <td>120° </td> <td>(π =) 3,142 sr </td></tr> <tr> <td>90° </td> <td>1,840 sr </td></tr> <tr> <td>65,541° </td> <td>1 sr </td></tr> <tr> <td>60° </td> <td>0,842 sr </td></tr> <tr> <td>45° </td> <td>0,478 sr </td></tr> <tr> <td>30° </td> <td>0,214 sr </td></tr> <tr> <td>10° </td> <td>0,0239 sr </td></tr> <tr> <td>5° </td> <td>0,00598 sr </td></tr> <tr> <td>2° </td> <td>0,000957 sr </td></tr> <tr> <td>1° </td> <td>0,000239 sr </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Arvutusnäide"><span id="Arvutusn.C3.A4ide"></span>Arvutusnäide</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Valgustustihedus&amp;veaction=edit&amp;section=2" title="Muuda alaosa &quot;Arvutusnäide&quot;" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Valgustustihedus&amp;action=edit&amp;section=2" title="Muuda alaosa &quot;Arvutusnäide&quot; lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Laevalgusti jaotab valgusvoo 500 luumenit ühtlaselt alumisse poolruumi (ruuminurka <i>Ω</i> = 2π steradiaani), siis valgustugevus selles poolruumis </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I\,=\,{\frac {\Phi }{\Omega }}\,=\,{\frac {500\ \mathrm {luumenit} }{2\,\mathrm {\pi } \ \mathrm {steradiaani} }}\,=\,80\ \mathrm {kandelat} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi mathvariant="normal">&#x03A6;<!-- Φ --></mi> <mi mathvariant="normal">&#x03A9;<!-- Ω --></mi> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>500</mn> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">t</mi> </mrow> </mrow> <mrow> <mn>2</mn> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi>&#x03C0;<!-- π --></mi> </mrow> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">i</mi> </mrow> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>80</mn> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">k</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">t</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I\,=\,{\frac {\Phi }{\Omega }}\,=\,{\frac {500\ \mathrm {luumenit} }{2\,\mathrm {\pi } \ \mathrm {steradiaani} }}\,=\,80\ \mathrm {kandelat} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8062b4cfb9b5028884bb68298dc760aeed308a21" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:42.36ex; height:5.509ex;" alt="{\displaystyle I\,=\,{\frac {\Phi }{\Omega }}\,=\,{\frac {500\ \mathrm {luumenit} }{2\,\mathrm {\pi } \ \mathrm {steradiaani} }}\,=\,80\ \mathrm {kandelat} }"></span></dd></dl> <p>ja valgustustihedus valgusti all nt 1.8 m kaugusel asuva laua pinnal normaali suunas (<i>ϑ</i> = 0) </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E\,=\,{\frac {80}{1,8^{2}}}\cdot \,\cos \,0^{\circ }\,=\,25\ \mathrm {lx} .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>80</mn> <mrow> <mn>1</mn> <mo>,</mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mspace width="thinmathspace" /> <mi>cos</mi> <mspace width="thinmathspace" /> <msup> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msup> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>25</mn> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">x</mi> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\,=\,{\frac {80}{1,8^{2}}}\cdot \,\cos \,0^{\circ }\,=\,25\ \mathrm {lx} .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19b843c54a3fc7cf4add91a3a31927a77d770dc7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:28.365ex; height:6.176ex;" alt="{\displaystyle E\,=\,{\frac {80}{1,8^{2}}}\cdot \,\cos \,0^{\circ }\,=\,25\ \mathrm {lx} .}"></span></dd></dl> <p>Kui sama valgusvooga (500 lm) valgusallikas on laualambis, mis jaotab valgusvoo 90-kraadise nurga all (vastavalt ruuminurgas Φ =1,842 sr), siis valgustugevus <i>I</i> = 500/1,842 = 272 cd ning valgustustihedus pinna punktis, mis on valgusallikast 0,75 m kaugusel ja kiirtekimp langeb sellesse punkti nurga all <i>ϑ</i> = 45° (cos 45° = 0,707), </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E\,=\,{\frac {272}{0,75^{2}}}\cdot 0,707\,=\,342\,\mathrm {lx} .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>272</mn> <mrow> <mn>0</mn> <mo>,</mo> <msup> <mn>75</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>0</mn> <mo>,</mo> <mn>707</mn> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>342</mn> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">x</mi> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\,=\,{\frac {272}{0,75^{2}}}\cdot 0,707\,=\,342\,\mathrm {lx} .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc476c76e5655aead9b6a269e061fbddcb0e5003" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:29.691ex; height:6.176ex;" alt="{\displaystyle E\,=\,{\frac {272}{0,75^{2}}}\cdot 0,707\,=\,342\,\mathrm {lx} .}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Valgustustiheduse_näiteid"><span id="Valgustustiheduse_n.C3.A4iteid"></span>Valgustustiheduse näiteid</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Valgustustihedus&amp;veaction=edit&amp;section=3" title="Muuda alaosa &quot;Valgustustiheduse näiteid&quot;" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Valgustustihedus&amp;action=edit&amp;section=3" title="Muuda alaosa &quot;Valgustustiheduse näiteid&quot; lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Valgustustihedus </p> <ul><li>maapinnal selge taeva korral suvel – 20 000 lx;</li> <li>filmivõtetel stuudios – 10 000 lx;</li> <li>lugemiseks ja kirjutamiseks, arvutitööks – 300 kuni 500 lx, peentöödeks kuni 1500 lx;</li> <li>üldvalgustuseks elutoas või köögis – 200 lx, trepikojas – 150 lx, esikus – 100 lx;</li> <li>tänavalgustuseks – 5–10 lx;</li> <li>küünalal 1 m kaugusel – 1 lx.</li></ul> <p>Valgustustihedust mõõdetakse <a href="/wiki/Luksmeeter" title="Luksmeeter"> luksmeetriga</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Vaata_ka">Vaata ka</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Valgustustihedus&amp;veaction=edit&amp;section=4" title="Muuda alaosa &quot;Vaata ka&quot;" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Valgustustihedus&amp;action=edit&amp;section=4" title="Muuda alaosa &quot;Vaata ka&quot; lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Fotomeetria" title="Fotomeetria">Fotomeetria</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Viited">Viited</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Valgustustihedus&amp;veaction=edit&amp;section=5" title="Muuda alaosa &quot;Viited&quot;" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Valgustustihedus&amp;action=edit&amp;section=5" title="Muuda alaosa &quot;Viited&quot; lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"> Eesti standard EVS-EN 12665:202. Valgus ja valgustus: Põhioskussõnad ja valgustusnõuete valiku alused </span> </li> </ol></div></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐5dc468848‐z5j67 Cached time: 20241122105543 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.018 seconds Real time usage: 0.072 seconds Preprocessor visited node count: 116/1000000 Post‐expand include size: 148/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 5/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 672/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 3.284 1 Mall:Viited 100.00% 3.284 1 -total --> <!-- Saved in parser cache with key etwiki:pcache:idhash:243643-0!canonical and timestamp 20241122105543 and revision id 5844324. 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