{"id":89,"date":"2026-02-24T09:50:16","date_gmt":"2026-02-24T08:50:16","guid":{"rendered":"https:\/\/fseschueler12.bplaced.net\/wordpress\/?page_id=89"},"modified":"2026-03-05T09:33:32","modified_gmt":"2026-03-05T08:33:32","slug":"filter","status":"publish","type":"page","link":"https:\/\/fseschueler12.bplaced.net\/wordpress\/filter\/","title":{"rendered":"Filter"},"content":{"rendered":"\n

Grundlagen<\/h3>\n\n\n\n
Formel<\/th><\/tr>
\\( f_c = \\frac{1}{2\\pi R C} \\)<\/td><\/tr>
Grenzfrequenz RC\u2011Filter<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Tiefpass 1. Ordnung (RC\u2011Tiefpass)<\/h3>\n\n\n\n
Formel<\/th><\/tr>
\\( H(j\\omega) = \\frac{1}{\\sqrt{1 + (\\omega R C)^2}} \\)<\/td><\/tr>
Amplitudengang<\/td><\/tr>
\\( \\varphi(\\omega) = -\\arctan(\\omega R C) \\)<\/td><\/tr>
Phasengang<\/td><\/tr>
\\( f_c = \\frac{1}{2\\pi R C} \\)<\/td><\/tr>
Grenzfrequenz<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Hochpass 1. Ordnung (RC\u2011Hochpass)<\/h3>\n\n\n\n
Formel<\/th><\/tr>
\\( H(j\\omega) = \\frac{\\omega R C}{\\sqrt{1 + (\\omega R C)^2}} \\)<\/td><\/tr>
Amplitudengang<\/td><\/tr>
\\( \\varphi(\\omega) = 90^\\circ – \\arctan(\\omega R C) \\)<\/td><\/tr>
Phasengang<\/td><\/tr>
\\( f_c = \\frac{1}{2\\pi R C} \\)<\/td><\/tr>
Grenzfrequenz<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Tiefpass 2. Ordnung<\/h3>\n\n\n\n
Formel<\/th><\/tr>
\\( H(j\\omega) = \\frac{1}{\\sqrt{(1 – (\\omega\/\\omega_0)^2)^2 + (2\\zeta\\,\\omega\/\\omega_0)^2}} \\)<\/td><\/tr>
Amplitudengang<\/td><\/tr>
\\( \\omega_0 = \\frac{1}{\\sqrt{L C}} \\)<\/td><\/tr>
Kreisfrequenz<\/td><\/tr>
\\( f_0 = \\frac{1}{2\\pi\\sqrt{L C}} \\)<\/td><\/tr>
Resonanzfrequenz<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Hochpass 2. Ordnung<\/h3>\n\n\n\n
Formel<\/th><\/tr>
\\( H(j\\omega) = \\frac{(\\omega\/\\omega_0)^2}{\\sqrt{(1 – (\\omega\/\\omega_0)^2)^2 + (2\\zeta\\,\\omega\/\\omega_0)^2}} \\)<\/td><\/tr>
Amplitudengang<\/td><\/tr>
\\( \\omega_0 = \\frac{1}{\\sqrt{L C}} \\)<\/td><\/tr>
Kreisfrequenz<\/td><\/tr>
\\( f_0 = \\frac{1}{2\\pi\\sqrt{L C}} \\)<\/td><\/tr>
Resonanzfrequenz<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

Grundlagen Formel \\( f_c = \\frac{1}{2\\pi R C} \\) Grenzfrequenz RC\u2011Filter Tiefpass 1. Ordnung (RC\u2011Tiefpass) Formel \\( H(j\\omega) = \\frac{1}{\\sqrt{1 + (\\omega R C)^2}} \\) Amplitudengang \\( \\varphi(\\omega) = -\\arctan(\\omega R C) \\) Phasengang \\( f_c = \\frac{1}{2\\pi R C} \\) Grenzfrequenz Hochpass 1. Ordnung (RC\u2011Hochpass) Formel \\( H(j\\omega) = \\frac{\\omega R C}{\\sqrt{1 + (\\omega … Filter<\/span> weiterlesen<\/a><\/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-89","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages\/89","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/comments?post=89"}],"version-history":[{"count":3,"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages\/89\/revisions"}],"predecessor-version":[{"id":241,"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/pages\/89\/revisions\/241"}],"wp:attachment":[{"href":"https:\/\/fseschueler12.bplaced.net\/wordpress\/wp-json\/wp\/v2\/media?parent=89"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}