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Disponibile in 25 lingue" > <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-25" 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">25 lingue</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%B4%D8%AD%D9%86%D8%A9_%D8%A8%D9%84%D8%A7%D9%86%D9%83" title="شحنة بلانك - arabo" lang="ar" hreflang="ar" data-title="شحنة بلانك" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA%D0%B0%D1%9E%D1%81%D0%BA%D1%96_%D0%B7%D0%B0%D1%80%D0%B0%D0%B4" title="Планкаўскі зарад - bielorusso" lang="be" hreflang="be" data-title="Планкаўскі зарад" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/C%C3%A0rrega_de_Planck" title="Càrrega de Planck - catalano" lang="ca" hreflang="ca" data-title="Càrrega de Planck" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Planck%C5%AFv_n%C3%A1boj" title="Planckův náboj - ceco" lang="cs" hreflang="cs" data-title="Planckův náboj" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-en badge-Q70893996 mw-list-item" title=""><a href="https://en.wikipedia.org/wiki/Planck_charge" title="Planck charge - inglese" lang="en" hreflang="en" data-title="Planck charge" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Elektra_%C5%9Dargo_de_Planck" title="Elektra ŝargo de Planck - esperanto" lang="eo" hreflang="eo" data-title="Elektra ŝargo de Planck" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Carga_de_Planck" title="Carga de Planck - spagnolo" lang="es" hreflang="es" data-title="Carga de Planck" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Planckin_varaus" title="Planckin varaus - finlandese" lang="fi" hreflang="fi" data-title="Planckin varaus" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Charge_de_Planck" title="Charge de Planck - francese" lang="fr" hreflang="fr" data-title="Charge de Planck" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%98%D7%A2%D7%9F_%D7%A4%D7%9C%D7%90%D7%A0%D7%A7" title="מטען פלאנק - ebraico" lang="he" hreflang="he" data-title="מטען פלאנק" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Planck-t%C3%B6lt%C3%A9s" title="Planck-töltés - ungherese" lang="hu" hreflang="hu" data-title="Planck-töltés" data-language-autonym="Magyar" data-language-local-name="ungherese" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%AC%D5%A1%D5%B6%D5%AF%D5%AB_%D5%AC%D5%AB%D6%81%D6%84" title="Պլանկի լիցք - armeno" lang="hy" hreflang="hy" data-title="Պլանկի լիցք" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%97%E3%83%A9%E3%83%B3%E3%82%AF%E9%9B%BB%E8%8D%B7" title="プランク電荷 - giapponese" lang="ja" hreflang="ja" data-title="プランク電荷" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%8C%EB%9E%91%ED%81%AC_%EC%A0%84%ED%95%98" title="플랑크 전하 - coreano" lang="ko" hreflang="ko" data-title="플랑크 전하" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Onus_electricum_Planckianum" title="Onus electricum Planckianum - latino" lang="la" hreflang="la" data-title="Onus electricum Planckianum" data-language-autonym="Latina" data-language-local-name="latino" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/%C5%81adunek_Plancka" title="Ładunek Plancka - polacco" lang="pl" hreflang="pl" data-title="Ładunek Plancka" data-language-autonym="Polski" data-language-local-name="polacco" 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/Carga_de_Planck" title="Carga de Planck - portoghese" lang="pt" hreflang="pt" data-title="Carga de Planck" data-language-autonym="Português" data-language-local-name="portoghese" 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%9F%D0%BB%D0%B0%D0%BD%D0%BA%D0%BE%D0%B2%D1%81%D0%BA%D0%B8%D0%B9_%D0%B7%D0%B0%D1%80%D1%8F%D0%B4" title="Планковский заряд - russo" lang="ru" hreflang="ru" data-title="Планковский заряд" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Carica_di_Planck" title="Carica di Planck - siciliano" lang="scn" hreflang="scn" data-title="Carica di Planck" data-language-autonym="Sicilianu" data-language-local-name="siciliano" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Planckov_n%C3%A1boj" title="Planckov náboj - slovacco" lang="sk" hreflang="sk" data-title="Planckov náboj" data-language-autonym="Slovenčina" data-language-local-name="slovacco" 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/Planckov_naboj" title="Planckov naboj - sloveno" lang="sl" hreflang="sl" data-title="Planckov naboj" 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style="background:#D2D2D2">Informazioni generali</th></tr><tr><th><a href="/wiki/Sistemi_di_misurazione" title="Sistemi di misurazione">Sistema</a></th><td><a href="/wiki/Unit%C3%A0_di_misura_di_Planck" title="Unità di misura di Planck">P</a> </td></tr><tr><th><a href="/wiki/Grandezza_fisica" title="Grandezza fisica">Grandezza</a></th><td><a href="/wiki/Carica_elettrica" title="Carica elettrica">carica elettrica</a> </td></tr><tr><th>Simbolo</th><td>q<sub>P</sub> </td></tr><tr><th><a href="/wiki/Eponimo" title="Eponimo">Eponimo</a></th><td><a href="/wiki/Max_Planck" title="Max Planck">Max Planck</a> </td></tr><tr class="sinottico_divisione"><th colspan="2" style="background:#D2D2D2"><a href="/wiki/Conversione_delle_unit%C3%A0_di_misura" title="Conversione delle unità di misura">Conversioni</a> <table width="100%" style="font-weight:normal;font-style:italic; text-align:left"> <tbody><tr> <td width="50%">1 q<sub>P</sub> in...</td> <td>...equivale a... </td></tr></tbody></table></th></tr><tr><th><a href="/wiki/Sistema_internazionale_di_unit%C3%A0_di_misura" title="Sistema internazionale di unità di misura">Unità SI</a></th><td>≈<span class="nowrap"><span data-sort-value="6982187555000000000♠"></span>1,87555<span style="margin-left:0.25em;margin-right:0.15em;">×</span>10<sup>−18</sup></span> <a href="/wiki/Coulomb" title="Coulomb">C</a> </td></tr><tr><th><a href="/wiki/Sistema_CGS" title="Sistema CGS">Unità CGS</a></th><td>≈<span class="nowrap"><span data-sort-value="6991562281000000000♠"></span>5,62281<span style="margin-left:0.25em;margin-right:0.15em;">×</span>10<sup>−9</sup></span> <a href="/wiki/Statcoulomb" title="Statcoulomb">statC</a><br />≈<span class="nowrap"><span data-sort-value="6981187555000000000♠"></span>1,87555<span style="margin-left:0.25em;margin-right:0.15em;">×</span>10<sup>−19</sup></span> <a href="/w/index.php?title=Aboulomb&action=edit&redlink=1" class="new" title="Aboulomb (la pagina non esiste)">abC</a> </td></tr><tr><th><a href="/wiki/Unit%C3%A0_atomiche" title="Unità atomiche">Unità atomiche</a></th><td>≈<span class="nowrap"><span data-sort-value="7001117062000000000♠"></span>11,7062</span> <a href="/wiki/Carica_elementare" title="Carica elementare"><i>e</i></a> </td></tr><tr><td class="sinottico_piede2 noprint nomobile metadata" colspan="2"><a href="https://www.wikidata.org/wiki/Q249439" class="extiw" title="d:Q249439"><span title="Modifica i dati della voce Carica di Planck su Wikidata">Modifica dati su Wikidata</span></a><b> ·</b> <a href="/wiki/Template:Unit%C3%A0/man" title="Template:Unità/man"><span title="Manuale del template Unità">Manuale</span></a></td></tr></tbody></table> <p>In <a href="/wiki/Fisica" title="Fisica">fisica</a>, la <b>carica di Planck</b> è l'<a href="/wiki/Unit%C3%A0_di_Planck" class="mw-redirect" title="Unità di Planck">unità di Planck</a> per la <a href="/wiki/Carica_elettrica" title="Carica elettrica">carica elettrica</a>, ed è denotata dalla lettera <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 q_{P}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q_{P}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/740cb61ff5138885badb18595eda461007a67e62" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.503ex; height:2.009ex;" alt="{\displaystyle q_{P}}"></span>. È definita come: </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 q_{P}={\sqrt {4\pi \varepsilon _{0}\hbar c}}={\sqrt {2ch\varepsilon _{0}}}={\frac {e}{\sqrt {\alpha }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>4</mn> <mi>π</mi> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi class="MJX-variant">ℏ</mi> <mi>c</mi> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mi>c</mi> <mi>h</mi> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>e</mi> <msqrt> <mi>α</mi> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q_{P}={\sqrt {4\pi \varepsilon _{0}\hbar c}}={\sqrt {2ch\varepsilon _{0}}}={\frac {e}{\sqrt {\alpha }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73a05a593b950a1836157dad7ee246c68a6f7cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:33.297ex; height:5.676ex;" alt="{\displaystyle q_{P}={\sqrt {4\pi \varepsilon _{0}\hbar c}}={\sqrt {2ch\varepsilon _{0}}}={\frac {e}{\sqrt {\alpha }}}}"></span></dd></dl> <p>dove: </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 c\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49f9a167e19842144aec62aaf47069e6a7a0ebda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.587ex; height:1.676ex;" alt="{\displaystyle c\ }"></span> è la <a href="/wiki/Velocit%C3%A0_della_luce" title="Velocità della luce">velocità della luce</a> nel <a href="/wiki/Vuoto_(fisica)" title="Vuoto (fisica)">vuoto</a>,</dd> <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 h\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38f79981e50b20fde629cc11c49276a4834b3026" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.92ex; height:2.176ex;" alt="{\displaystyle h\ }"></span> è la <a href="/wiki/Costante_di_Planck" title="Costante di Planck">costante di Planck</a>,</dd> <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 \hbar \equiv {\frac {h}{2\pi }}\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ</mi> <mo>≡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mrow> <mn>2</mn> <mi>π</mi> </mrow> </mfrac> </mrow> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar \equiv {\frac {h}{2\pi }}\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe4fce2d97a047370c6d109784f0188f565a0cd2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.316ex; height:5.343ex;" alt="{\displaystyle \hbar \equiv {\frac {h}{2\pi }}\ }"></span> è la formula <i>ridotta</i> della costante di Planck o della <a href="/wiki/Costante_di_Dirac" class="mw-redirect" title="Costante di Dirac">costante di Dirac</a>,</dd> <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 \varepsilon _{0}\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varepsilon _{0}\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8a2174977276f49cef175213d540fd5062520f3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.718ex; height:2.009ex;" alt="{\displaystyle \varepsilon _{0}\ }"></span> è la <a href="/wiki/Permittivit%C3%A0_elettrica" title="Permittività elettrica">permittività elettrica</a></dd> <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\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>e</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a4204fc2368e201092faf08ddfcb3d4781dd7b53" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.664ex; height:1.676ex;" alt="{\displaystyle e\ }"></span> è la <a href="/wiki/Carica_elementare" title="Carica elementare">carica elementare</a></dd> <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 \alpha \ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha \ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e744c9d831e4b3c66ca542ff74bcda7e6caa3c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.068ex; height:1.676ex;" alt="{\displaystyle \alpha \ }"></span> = (11.70…)<sup>−2</sup> è la <a href="/wiki/Costante_di_struttura_fine" title="Costante di struttura fine">costante elettromagnetica ("di struttura fine")</a>.</dd></dl> <p>Il suo valore espresso come in unità del <a href="/wiki/Sistema_internazionale_di_unit%C3%A0_di_misura" title="Sistema internazionale di unità di misura">SI</a> è </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 q_{P}\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q_{P}\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5559eb86715e83e4143712c1c4c95ee3d55dbe9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.084ex; height:2.009ex;" alt="{\displaystyle q_{P}\ }"></span> = 1,8755459 × 10 <sup>−18</sup> <a href="/wiki/Coulomb" title="Coulomb">[C]</a>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Derivazione_della_formula">Derivazione della formula</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Carica_di_Planck&veaction=edit&section=1" title="Modifica la sezione Derivazione della formula" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Carica_di_Planck&action=edit&section=1" title="Edit section's source code: Derivazione della formula"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La formula della Carica di Planck si ottiene, attraverso un semplice calcolo dimensionale, dalla espressione della <a href="/wiki/Forza_di_Coulomb" title="Forza di Coulomb">Forza di Coulomb</a>, che stabilisce quantitativamente la relazione di forza esistente tra due cariche: </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 F=k{\frac {q_{1}q_{2}}{d^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=k{\frac {q_{1}q_{2}}{d^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fdcbfb632c030d4daeff28656e35f407cc745722" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:11.069ex; height:5.176ex;" alt="{\displaystyle F=k{\frac {q_{1}q_{2}}{d^{2}}}}"></span></dd></dl> <p>dove <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 \ k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c682e4c73906031c21d3ec3951990a6111eeacb6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.792ex; height:2.176ex;" alt="{\displaystyle \ k}"></span> è la <a href="/wiki/Costante_di_Coulomb" title="Costante di Coulomb">costante di Coulomb</a> che vale: </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 k={\frac {1}{4\pi \varepsilon _{0}}}=8,99\cdot 10^{9}\ [N][m]^{2}[C]^{-2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>4</mn> <mi>π</mi> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>=</mo> <mn>8</mn> <mo>,</mo> <mn>99</mn> <mo>⋅</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>9</mn> </mrow> </msup> <mtext> </mtext> <mo stretchy="false">[</mo> <mi>N</mi> <mo stretchy="false">]</mo> <mo stretchy="false">[</mo> <mi>m</mi> <msup> <mo stretchy="false">]</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">[</mo> <mi>C</mi> <msup> <mo stretchy="false">]</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\frac {1}{4\pi \varepsilon _{0}}}=8,99\cdot 10^{9}\ [N][m]^{2}[C]^{-2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2edd2e7c78d96cf95faf73882329e7151e8035b9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:36.175ex; height:5.676ex;" alt="{\displaystyle k={\frac {1}{4\pi \varepsilon _{0}}}=8,99\cdot 10^{9}\ [N][m]^{2}[C]^{-2}}"></span></dd></dl> <p>Se si pone <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 \ q_{1}=q_{2}=q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ q_{1}=q_{2}=q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6edd9e45fe29ca330f2fef1d8987087a98908f1d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.03ex; height:2.009ex;" alt="{\displaystyle \ q_{1}=q_{2}=q}"></span>, e si sostituisce a <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 \ k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c682e4c73906031c21d3ec3951990a6111eeacb6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.792ex; height:2.176ex;" alt="{\displaystyle \ k}"></span> la sua espressione, si ottiene l'espressione della carica elettrica nella forma: </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 q^{2}=Fd^{2}4\pi \varepsilon _{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mi>F</mi> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>4</mn> <mi>π</mi> <msub> <mi>ε</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q^{2}=Fd^{2}4\pi \varepsilon _{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57b819f98442c577a40b4217da219e9df5a4c2a5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.877ex; height:3.009ex;" alt="{\displaystyle q^{2}=Fd^{2}4\pi \varepsilon _{0}}"></span></dd></dl> <p>Sostituendo a <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 \ F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cda729f4fc92e3228240eb588757ff43659c974" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.321ex; height:2.176ex;" alt="{\displaystyle \ F}"></span> l'espressione della <a href="/wiki/Forza_di_Planck" class="mw-redirect" title="Forza di Planck">Forza di Planck</a>, </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 F_{P}={\frac {m_{P}c}{t_{P}}}={\frac {c^{4}}{G}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mi>c</mi> </mrow> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> <mi>G</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{P}={\frac {m_{P}c}{t_{P}}}={\frac {c^{4}}{G}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/021e355bd3751eacb348e9a843223a1d40b8662b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:17.405ex; height:6.009ex;" alt="{\displaystyle F_{P}={\frac {m_{P}c}{t_{P}}}={\frac {c^{4}}{G}}}"></span></dd></dl> <p>e a <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 \ d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7164d6a5776580b80daa5573174197e214026c28" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.797ex; height:2.176ex;" alt="{\displaystyle \ d}"></span> l'espressione della <a href="/wiki/Lunghezza_di_Planck" title="Lunghezza di Planck">Lunghezza di Planck</a>, </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 \ell _{P}={\sqrt {\frac {\hbar G}{c^{3}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ℓ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mi class="MJX-variant">ℏ</mi> <mi>G</mi> </mrow> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ell _{P}={\sqrt {\frac {\hbar G}{c^{3}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/626f2d0a8bf88bc08c56f1cb3ba3576f10d3f324" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:11.828ex; height:6.343ex;" alt="{\displaystyle \ell _{P}={\sqrt {\frac {\hbar G}{c^{3}}}}}"></span></dd></dl> <p>otteniamo, con semplici passaggi matematici, l'espressione cercata per la Carica di Planck. </p><p>La carica di Planck non fu originariamente definita da Planck. È una definizione di unità di carica che è un'aggiunta naturale alle altre unità di Planck, ed è stata introdotta in alcune pubblicazioni<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Carica_di_Planck&veaction=edit&section=2" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Carica_di_Planck&action=edit&section=2" title="Edit section's source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> F.Santandrea P.Cirilli, <span style="font-style:italic;">Teoria dello Spazio Quantizzato</span>, 21/9/1994 N. 344146 prot. 4646 - Presid. del Consiglio dei Ministri - Dipart. Informazione ed Editoria.</cite></span> </li> <li id="cite_note-2"><a href="#cite_ref-2"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> M. J. Duff, <span style="font-style:italic;">Comment on time-variation of fundamental constants</span>, in <span style="font-style:italic;"><a rel="nofollow" class="external free" href="https://arxiv.org/abs/hep-th/0208093">https://arxiv.org/abs/hep-th/0208093</a></span>.</cite></span> </li> <li id="cite_note-3"><a href="#cite_ref-3"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> F.Santandrea P.Cirilli, <span style="font-style:italic;">Unificazione elettromagnetica concezione elettronica dello spazio dell'energia e della materia</span>, <a rel="nofollow" class="external free" href="http://www.atlantecircuitale.com/energia2006/pdf/labor.pdf">http://www.atlantecircuitale.com/energia2006/pdf/labor.pdf</a>.</cite></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Carica_di_Planck&veaction=edit&section=3" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Carica_di_Planck&action=edit&section=3" title="Edit section's source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Max_Planck" title="Max Planck">Max Planck</a></li> <li><a href="/wiki/Unit%C3%A0_di_misura_di_Planck" title="Unità di misura di Planck">Unità di misura di Planck</a></li></ul> <p><br /><style data-mw-deduplicate="TemplateStyles:r141815314">.mw-parser-output .navbox{border:1px solid #aaa;clear:both;margin:auto;padding:2px;width:100%}.mw-parser-output .navbox th{padding-left:1em;padding-right:1em;text-align:center}.mw-parser-output .navbox>tbody>tr:first-child>th{background:#ccf;font-size:90%;width:100%;color:var(--color-base,black)}.mw-parser-output .navbox_navbar{float:left;margin:0;padding:0 10px 0 0;text-align:left;width:6em}.mw-parser-output .navbox_title{font-size:110%}.mw-parser-output .navbox_abovebelow{background:#ddf;font-size:90%;font-weight:normal}.mw-parser-output .navbox_group{background:#ddf;font-size:90%;padding:0 10px;white-space:nowrap}.mw-parser-output .navbox_list{font-size:90%;width:100%}.mw-parser-output .navbox_list a{white-space:nowrap}html:not(.vector-feature-night-mode-enabled) .mw-parser-output .navbox_odd{background:#fdfdfd;color:var(--color-base,black)}html:not(.vector-feature-night-mode-enabled) .mw-parser-output .navbox_even{background:#f7f7f7;color:var(--color-base,black)}.mw-parser-output .navbox a.mw-selflink{color:var(--color-base,black)}.mw-parser-output .navbox_center{text-align:center}.mw-parser-output .navbox .navbox_image{padding-left:7px;vertical-align:middle;width:0}.mw-parser-output .navbox+.navbox{margin-top:-1px}.mw-parser-output .navbox .mw-collapsible-toggle{font-weight:normal;text-align:right;width:7em}body.skin--responsive .mw-parser-output .navbox_image img{max-width:none!important}.mw-parser-output .subnavbox{margin:-3px;width:100%}.mw-parser-output .subnavbox_group{background:#e6e6ff;padding:0 10px}@media screen{html.skin-theme-clientpref-night .mw-parser-output .navbox>tbody>tr:first-child>th{background:var(--background-color-interactive)!important}html.skin-theme-clientpref-night .mw-parser-output .navbox th{color:var(--color-base)!important}html.skin-theme-clientpref-night .mw-parser-output .navbox_abovebelow,html.skin-theme-clientpref-night .mw-parser-output .navbox_group{background:var(--background-color-interactive-subtle)!important}html.skin-theme-clientpref-night .mw-parser-output .subnavbox_group{background:var(--background-color-neutral-subtle)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbox>tbody>tr:first-child>th{background:var(--background-color-interactive)!important}html.skin-theme-clientpref-os .mw-parser-output .navbox th{color:var(--color-base)!important}html.skin-theme-clientpref-os .mw-parser-output .navbox_abovebelow,html.skin-theme-clientpref-os .mw-parser-output .navbox_group{background:var(--background-color-interactive-subtle)!important}html.skin-theme-clientpref-os .mw-parser-output .subnavbox_group{background:var(--background-color-neutral-subtle)!important}}</style></p><table class="navbox mw-collapsible mw-collapsed noprint metadata" id="navbox-Unità_di_misura"><tbody><tr><th colspan="2"><div class="navbox_navbar"><div class="noprint plainlinks" style="background-color:transparent; 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width:22%;"><a href="/wiki/Sistema_internazionale_di_unit%C3%A0_di_misura" title="Sistema internazionale di unità di misura">Sistema internazionale</a></th><td colspan="1" class="navbox_list navbox_odd"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Unit%C3%A0_fondamentali_del_sistema_internazionale" title="Unità fondamentali del sistema internazionale">Unità di base</a></th><td colspan="1"><a href="/wiki/Secondo" title="Secondo">secondo</a><b> ·</b> <a href="/wiki/Metro" title="Metro">metro</a><b> ·</b> <a href="/wiki/Chilogrammo" title="Chilogrammo">chilogrammo</a><b> ·</b> <a href="/wiki/Ampere" title="Ampere">ampere</a><b> ·</b> <a href="/wiki/Kelvin" title="Kelvin">kelvin</a><b> ·</b> <a href="/wiki/Mole" title="Mole">mole</a><b> ·</b> <a href="/wiki/Candela_(unit%C3%A0_di_misura)" title="Candela (unità di misura)">candela</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità derivate</th><td colspan="1"><a href="/wiki/Hertz" title="Hertz">hertz</a><b> ·</b> <a href="/wiki/Newton_(unit%C3%A0_di_misura)" title="Newton (unità di misura)">newton</a><b> ·</b> <a href="/wiki/Pascal_(unit%C3%A0_di_misura)" title="Pascal (unità di misura)">pascal</a><b> ·</b> <a href="/wiki/Joule" title="Joule">joule</a><b> ·</b> <a href="/wiki/Watt" title="Watt">watt</a><b> ·</b> <a href="/wiki/Coulomb" title="Coulomb">coulomb</a><b> ·</b> <a href="/wiki/Volt" title="Volt">volt</a><b> ·</b> <a href="/wiki/Ohm" title="Ohm">ohm</a><b> ·</b> <a href="/wiki/Siemens_(unit%C3%A0_di_misura)" title="Siemens (unità di misura)">siemens</a><b> ·</b> <a href="/wiki/Farad" title="Farad">farad</a><b> ·</b> <a href="/wiki/Tesla_(unit%C3%A0_di_misura)" title="Tesla (unità di misura)">tesla</a><b> ·</b> <a href="/wiki/Weber_(unit%C3%A0_di_misura)" title="Weber (unità di misura)">weber</a><b> ·</b> <a href="/wiki/Henry_(unit%C3%A0_di_misura)" title="Henry (unità di misura)">henry</a><b> ·</b> <a href="/wiki/Grado_Celsius" title="Grado Celsius">grado Celsius</a><b> ·</b> <a href="/wiki/Radiante" title="Radiante">radiante</a><b> ·</b> <a href="/wiki/Steradiante" title="Steradiante">steradiante</a><b> ·</b> <a href="/wiki/Lumen" title="Lumen">lumen</a><b> ·</b> <a href="/wiki/Lux" title="Lux">lux</a><b> ·</b> <a href="/wiki/Becquerel" title="Becquerel">becquerel</a><b> ·</b> <a href="/wiki/Gray_(unit%C3%A0_di_misura)" title="Gray (unità di misura)">gray</a><b> ·</b> <a href="/wiki/Sievert" title="Sievert">sievert</a><b> ·</b> <a href="/wiki/Katal" title="Katal">katal</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center; width:22%;"><a href="/wiki/Sistema_CGS" title="Sistema CGS">Sistema CGS</a></th><td colspan="1" class="navbox_list navbox_even"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità di base</th><td colspan="1"><a href="/wiki/Metro" title="Metro">centimetro</a><b> ·</b> <a href="/wiki/Grammo" title="Grammo">grammo</a><b> ·</b> <a href="/wiki/Secondo" title="Secondo">secondo</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità derivate</th><td colspan="1"><a href="/wiki/Dyne" title="Dyne">dyne</a><b> ·</b> <a href="/wiki/Erg" title="Erg">erg</a><b> ·</b> <a href="/wiki/Baria" title="Baria">baria</a><b> ·</b> <a href="/wiki/Poise" title="Poise">poise</a><b> ·</b> <a href="/wiki/Statcoulomb" title="Statcoulomb">statcoulomb</a><b> ·</b> <a href="/wiki/Statvolt" title="Statvolt">statvolt</a><b> ·</b> <a href="/wiki/Oersted_(unit%C3%A0_di_misura)" title="Oersted (unità di misura)">oersted</a><b> ·</b> <a href="/wiki/Gauss_(unit%C3%A0_di_misura)" title="Gauss (unità di misura)">gauss</a><b> ·</b> <a href="/wiki/Maxwell_(unit%C3%A0_di_misura)" title="Maxwell (unità di misura)">maxwell</a><b> ·</b> <a href="/wiki/Rayl" title="Rayl">rayl</a><b> ·</b> <a href="/wiki/Gal" title="Gal">gal</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center; width:22%;"><a href="/wiki/Sistema_pratico_degli_ingegneri" title="Sistema pratico degli ingegneri">Sistema Tecnico - MFS</a></th><td colspan="1" class="navbox_list navbox_odd"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità di base</th><td colspan="1"><a href="/wiki/Metro" title="Metro">metro</a><b> ·</b> <a href="/wiki/Chilogrammo_forza" title="Chilogrammo forza">chilogrammo forza</a><b> ·</b> <a href="/wiki/Secondo" title="Secondo">secondo</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità derivate</th><td colspan="1"><a href="/wiki/Unit%C3%A0_tecnica_di_massa" title="Unità tecnica di massa">unità tecnica di massa</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center; width:22%;"><a href="/wiki/Sistema_MTS" title="Sistema MTS">Sistema MTS</a></th><td colspan="1" class="navbox_list navbox_even"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità di base</th><td colspan="1"><a href="/wiki/Metro" title="Metro">metro</a><b> ·</b> <a href="/wiki/Tonnellata" title="Tonnellata">tonnellata</a><b> ·</b> <a href="/wiki/Secondo" title="Secondo">secondo</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità derivate</th><td colspan="1"><a href="/wiki/Sth%C3%A8ne" title="Sthène">sthène</a><b> ·</b> <a href="/wiki/Joule" title="Joule">chilojoule</a><b> ·</b> <a href="/wiki/Watt" title="Watt">chilowatt</a><b> ·</b> <a href="/wiki/Pi%C3%A8ze" title="Pièze">pièze</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center; width:22%;"><a href="/wiki/Unit%C3%A0_atomiche" title="Unità atomiche">Unità atomiche</a></th><td colspan="1" class="navbox_list navbox_odd"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità di base</th><td colspan="1"><a href="/wiki/Raggio_di_Bohr" title="Raggio di Bohr">raggio di Bohr</a><b> ·</b> <a href="/wiki/Massa_a_riposo_dell%27elettrone" title="Massa a riposo dell'elettrone">massa a riposo dell'elettrone</a><b> ·</b> <a href="/wiki/Carica_elementare" title="Carica elementare">carica elementare</a><b> ·</b> <a href="/wiki/Costante_di_Planck#Valore" title="Costante di Planck">costante di Dirac</a><b> ·</b> <a href="/wiki/Energia_di_Hartree" title="Energia di Hartree">energia di Hartree</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center; width:22%;"><a href="/wiki/Unit%C3%A0_di_misura_di_Planck" title="Unità di misura di Planck">Unità di misura di Planck</a></th><td colspan="1" class="navbox_list navbox_even"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità di base</th><td colspan="1"><a href="/wiki/Tempo_di_Planck" title="Tempo di Planck">tempo di Planck</a><b> ·</b> <a href="/wiki/Lunghezza_di_Planck" title="Lunghezza di Planck">lunghezza di Planck</a><b> ·</b> <a href="/wiki/Massa_di_Planck" title="Massa di Planck">massa di Planck</a><b> ·</b> <a class="mw-selflink selflink">carica di Planck</a><b> ·</b> <a href="/wiki/Temperatura_di_Planck" title="Temperatura di Planck">temperatura di Planck</a><b> ·</b> <a href="/wiki/Costante_di_Planck" title="Costante di Planck">quanto del momento angolare</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;">Unità derivate</th><td colspan="1"><a href="/wiki/Energia_di_Planck" title="Energia di Planck">energia di Planck</a><b> ·</b> <a href="/wiki/Forza_di_Planck" class="mw-redirect" title="Forza di Planck">forza di Planck</a><b> ·</b> <a href="/wiki/Potenza_di_Planck" class="mw-redirect" title="Potenza di Planck">potenza di Planck</a><b> ·</b> <a href="/wiki/Densit%C3%A0_di_Planck" class="mw-redirect" title="Densità di Planck">densità di Planck</a><b> ·</b> <a href="/wiki/Frequenza_angolare_di_Planck" class="mw-redirect" title="Frequenza angolare di Planck">frequenza angolare di Planck</a><b> ·</b> <a href="/wiki/Pressione_di_Planck" class="mw-redirect" title="Pressione di Planck">pressione di Planck</a><b> ·</b> <a href="/wiki/Corrente_di_Planck" class="mw-redirect" title="Corrente di Planck">corrente di Planck</a><b> ·</b> <a href="/wiki/Tensione_di_Planck" class="mw-redirect" title="Tensione di Planck">tensione di Planck</a><b> ·</b> <a href="/wiki/Resistenza_di_Planck" class="mw-redirect" title="Resistenza di Planck">resistenza di Planck</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group" style="text-align:center; width:22%;">Altre unità di misura</th><td colspan="1" class="navbox_list navbox_odd"><table class="subnavbox"><tbody><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Area" title="Area">Area</a></th><td colspan="1"><a href="/wiki/Ettaro" title="Ettaro">ettaro</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Densit%C3%A0_lineare" title="Densità lineare">Densità lineare</a></th><td colspan="1"><a href="/wiki/Denaro_(unit%C3%A0_di_misura)" title="Denaro (unità di misura)">denaro</a><b> ·</b> <a href="/wiki/Tex_(unit%C3%A0_di_misura)" title="Tex (unità di misura)">tex</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Entropia" title="Entropia">Entropia</a></th><td colspan="1"><a href="/wiki/Clausius_(unit%C3%A0_di_misura)" title="Clausius (unità di misura)">clausius</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Massa_(fisica)" title="Massa (fisica)">Massa</a></th><td colspan="1"><a href="/wiki/Grano_(unit%C3%A0_di_misura)" title="Grano (unità di misura)">grano</a><b> ·</b> <a href="/wiki/Scruple" title="Scruple">scruple</a><b> ·</b> <a href="/wiki/Dramma_(unit%C3%A0_di_misura)" title="Dramma (unità di misura)">dramma</a><b> ·</b> <a href="/wiki/Oncia_(unit%C3%A0_di_misura)" title="Oncia (unità di misura)">oncia</a><b> ·</b> <a href="/wiki/Libbra" title="Libbra">libbra</a><b> ·</b> <a href="/wiki/Pietra_(unit%C3%A0_di_misura)" class="mw-redirect" title="Pietra (unità di misura)">pietra</a><b> ·</b> <a href="/wiki/Quarto_(unit%C3%A0_di_misura)" title="Quarto (unità di misura)">quarto</a><b> ·</b> <a href="/wiki/Slug_(unit%C3%A0_di_misura)" title="Slug (unità di misura)">slug</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Temperatura" title="Temperatura">Temperatura</a></th><td colspan="1"><a href="/wiki/Grado_R%C3%B8mer" title="Grado Rømer">grado Rømer</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Energia" title="Energia">Energia</a></th><td colspan="1"><a href="/wiki/Caloria" title="Caloria">caloria</a><b> ·</b> <a href="/wiki/Frigoria" title="Frigoria">frigoria</a></td></tr><tr><th class="subnavbox_group" style="text-align:center; width:22%;"><a href="/wiki/Lunghezza" title="Lunghezza">lunghezza</a> in astronomia</th><td colspan="1"><a href="/wiki/Unit%C3%A0_astronomica" title="Unità astronomica">unità astronomica</a><b> ·</b> <a href="/wiki/Anno_luce" title="Anno luce">anno luce</a><b> ·</b> <a href="/wiki/Parsec" title="Parsec">parsec</a></td></tr></tbody></table></td></tr></tbody></table> <div class="noprint" style="width:100%; padding: 3px 0; display: flex; flex-wrap: wrap; row-gap: 4px; column-gap: 8px; box-sizing: border-box;"><div style="flex-basis: calc( 100% / 2 - 8px / 2 );"><style data-mw-deduplicate="TemplateStyles:r140555418">.mw-parser-output .itwiki-template-occhiello{width:100%;line-height:25px;border:1px solid #CCF;background-color:#F0EEFF;box-sizing:border-box}.mw-parser-output .itwiki-template-occhiello-progetto{background-color:#FAFAFA}@media screen{html.skin-theme-clientpref-night .mw-parser-output .itwiki-template-occhiello{background-color:#202122;border-color:#54595D}html.skin-theme-clientpref-night .mw-parser-output .itwiki-template-occhiello-progetto{background-color:#282929}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .itwiki-template-occhiello{background-color:#202122;border-color:#54595D}html.skin-theme-clientpref-os .mw-parser-output .itwiki-template-occhiello-progetto{background-color:#282929}}</style><div class="itwiki-template-occhiello"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Bar_magnet.jpg" class="mw-file-description" title="Elettromagnetismo"><img alt=" " src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Bar_magnet.jpg/25px-Bar_magnet.jpg" decoding="async" width="25" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Bar_magnet.jpg/38px-Bar_magnet.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Bar_magnet.jpg/50px-Bar_magnet.jpg 2x" data-file-width="2048" data-file-height="1536" /></a></span> <b><a href="/wiki/Portale:Elettromagnetismo" title="Portale:Elettromagnetismo">Portale Elettromagnetismo</a></b></div></div><div style="flex-basis: calc( 100% / 2 - 8px / 2 );"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r140555418"><div class="itwiki-template-occhiello"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Unbalanced_scales_simpler.svg" class="mw-file-description" title="Metrologia"><img alt=" " src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Unbalanced_scales_simpler.svg/25px-Unbalanced_scales_simpler.svg.png" decoding="async" width="25" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Unbalanced_scales_simpler.svg/38px-Unbalanced_scales_simpler.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/Unbalanced_scales_simpler.svg/50px-Unbalanced_scales_simpler.svg.png 2x" data-file-width="400" data-file-height="354" /></a></span> <b><a href="/wiki/Portale:Metrologia" title="Portale:Metrologia">Portale Metrologia</a></b></div></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; 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