{"id":19,"date":"2026-01-28T14:36:23","date_gmt":"2026-01-28T13:36:23","guid":{"rendered":"https:\/\/fseschueler15.bplaced.net\/wordpress\/?page_id=19"},"modified":"2026-03-26T09:27:04","modified_gmt":"2026-03-26T08:27:04","slug":"wechselstrom","status":"publish","type":"page","link":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wechselstrom\/","title":{"rendered":"Wechselstrom"},"content":{"rendered":"\n

F\u00fcr das Ohmsche Gesetz siehe im Men\u00fc Gleichstrom<\/a>.<\/p>\n\n\n\n

Spannungen und Str\u00f6me<\/h2>\n\n\n\n

Effektivwerte<\/p>\n\n\n\n

U<\/mi>eff<\/mtext><\/msub>=<\/mo>U<\/mi>^<\/mo><\/mover>2<\/mn><\/msqrt><\/mfrac><\/mrow>U_{\\text{eff}} = \\frac{\\hat{U}}{\\sqrt{2}}\n<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

I<\/mi>eff<\/mtext><\/msub>=<\/mo>I<\/mi>^<\/mo><\/mover>2<\/mn><\/msqrt><\/mfrac><\/mrow>I_{\\text{eff}} = \\frac{\\hat{I}}{\\sqrt{2}}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

Kreisfrequenz<\/p>\n\n\n\n

f<\/mi>=<\/mo>1<\/mn>T<\/mi><\/mfrac><\/mrow>f=\\frac{1}{T}\n\n\n<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

\u03c9<\/mi>=<\/mo>2<\/mn>\u22c5<\/mo>\u03c0<\/mi>\u22c5<\/mo>f<\/mi><\/mrow>\\omega = 2 \\cdot \\pi \\cdot f<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

Momentanwerte<\/p>\n\n\n\n

u<\/mi>(<\/mo>t<\/mi>)<\/mo>=<\/mo>U<\/mi>^<\/mo><\/mover>\u22c5<\/mo>sin<\/mi>\u2061<\/mo><\/mrow>(<\/mo>\u03c9<\/mi>\u22c5<\/mo>t<\/mi>+<\/mo>\u03c6<\/mi>)<\/mo><\/mrow>u(t) = \\hat{U} \\cdot \\sin(\\omega \\cdot t + \\varphi)<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

i<\/mi>(<\/mo>t<\/mi>)<\/mo>=<\/mo>I<\/mi>^<\/mo><\/mover>\u22c5<\/mo>sin<\/mi>\u2061<\/mo><\/mrow>(<\/mo>\u03c9<\/mi>\u22c5<\/mo>t<\/mi>+<\/mo>\u03c6<\/mi>)<\/mo><\/mrow>i(t) = \\hat{I} \\cdot \\sin(\\omega \\cdot t + \\varphi)<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

Widerst\u00e4nde<\/h2>\n\n\n\n

Widerst\u00e4nde in Ohm \u03a9<\/p>\n\n\n\n

X<\/mi>L<\/mi><\/msub>=<\/mo>2<\/mn>\u22c5<\/mo>\u03c0<\/mi>\u22c5<\/mo>f<\/mi>\u22c5<\/mo>L<\/mi><\/mrow>X_L = 2 \\cdot \\pi \\cdot f \\cdot L<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

X<\/mi>C<\/mi><\/msub>=<\/mo>1<\/mn>2<\/mn>\u22c5<\/mo>\u03c0<\/mi>\u22c5<\/mo>f<\/mi>\u22c5<\/mo>C<\/mi><\/mrow><\/mfrac><\/mrow>X_C = \\frac{1}{2 \\cdot \\pi \\cdot f \\cdot C}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

Z<\/mi>=<\/mo>R<\/mi>2<\/mn><\/msup>+<\/mo>(<\/mo>X<\/mi>L<\/mi><\/msub>\u2212<\/mo>X<\/mi>C<\/mi><\/msub>)<\/mo>2<\/mn><\/msup><\/mrow><\/msqrt><\/mrow>Z = \\sqrt{R^2 + (X_L – X_C)^2}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

Leistung<\/h2>\n\n\n\n
P<\/mi>=<\/mo>U<\/mi>\u22c5<\/mo>I<\/mi>\u22c5<\/mo>cos<\/mi>\u2061<\/mo><\/mspace><\/mrow>\u03c6<\/mi><\/mrow>P = U \\cdot I \\cdot \\cos \\varphi<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

Q<\/mi>=<\/mo>U<\/mi>\u22c5<\/mo>I<\/mi>\u22c5<\/mo>sin<\/mi>\u2061<\/mo><\/mspace><\/mrow>\u03c6<\/mi><\/mrow>Q = U \\cdot I \\cdot \\sin \\varphi<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

S<\/mi>=<\/mo>U<\/mi>\u22c5<\/mo>I<\/mi><\/mrow>S = U \\cdot I<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n\n\n\n

S<\/mi>=<\/mo>P<\/mi>+<\/mo>Q<\/mi><\/mrow>S=P+Q<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

F\u00fcr das Ohmsche Gesetz siehe im Men\u00fc Gleichstrom. Spannungen und Str\u00f6me Effektivwerte Kreisfrequenz Momentanwerte Widerst\u00e4nde Widerst\u00e4nde in Ohm \u03a9 Leistung<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":14,"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":84,"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages\/19\/revisions\/84"}],"wp:attachment":[{"href":"https:\/\/fseschueler15.bplaced.net\/wordpress\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}