{"id":219,"date":"2026-01-20T06:33:00","date_gmt":"2026-01-19T22:33:00","guid":{"rendered":"https:\/\/gccircuit.com\/wordpress\/?p=219"},"modified":"2026-01-20T06:48:01","modified_gmt":"2026-01-19T22:48:01","slug":"%e9%9b%bb%e5%ad%90%e5%bc%8f%e5%88%86%e9%a0%bb%e5%99%a8%e6%bf%be%e6%b3%a2%e7%b7%9a%e4%b8%8a%e8%a8%88%e7%ae%97%e5%99%a8","status":"publish","type":"post","link":"https:\/\/gccircuit.com\/wordpress\/2026\/01\/20\/%e9%9b%bb%e5%ad%90%e5%bc%8f%e5%88%86%e9%a0%bb%e5%99%a8%e6%bf%be%e6%b3%a2%e7%b7%9a%e4%b8%8a%e8%a8%88%e7%ae%97%e5%99%a8\/","title":{"rendered":"\u96fb\u5b50\u5f0f\u5206\u983b\u5668(\u6ffe\u6ce2)\u7dda\u4e0a\u8a08\u7b97\u5668"},"content":{"rendered":"\n<div style=\"background-color: #1e293b; color: #f8fafc; padding: 25px; border-radius: 15px; font-family: sans-serif; max-width: 850px; margin: auto; border: 1px solid #10b981; box-shadow: 0 10px 15px -3px rgba(0, 0, 0, 0.3); line-height: 1.6;\">\n    \n    <h2 style=\"color: #10b981; text-align: center; margin-top: 0; letter-spacing: 1px;\">3rd Order Butterworth Crossover \u5c08\u696d\u8a08\u7b97\u5668<\/h2>\n    \n    <div style=\"background: white; padding: 15px; border-radius: 10px; margin-bottom: 25px; text-align: center;\">\n        <img decoding=\"async\" src=\"http:\/\/gccircuit.com\/wordpress\/wp-content\/uploads\/2026\/01\/image-76.png\" alt=\"3rd Order Circuit\" style=\"max-width: 100%; height: auto;\">\n        <p style=\"color: #64748b; font-size: 12px; margin-top: 5px;\">\u53c3\u8003\u81ea Kaminsky, et. al. 18dB\/Octave \u67b6\u69cb<\/p>\n    <\/div>\n\n    <div style=\"background: #0f172a; padding: 20px; border-radius: 12px; margin-bottom: 25px; border: 1px solid #334155;\">\n        <div style=\"max-width: 400px; margin: auto; text-align: center;\">\n            <label style=\"display: block; font-size: 14px; color: #fbbf24; margin-bottom: 10px; font-weight: bold;\">\u8f38\u5165\u5206\u983b\u983b\u7387 Fol = Foh (Hz)<\/label>\n            <div style=\"display: flex; gap: 10px; align-items: center;\">\n                <input type=\"number\" id=\"fc_input\" value=\"40\" style=\"flex: 1; padding: 12px; border-radius: 6px; border: 1px solid #10b981; background: #1e293b; color: white; font-size: 18px; text-align: center;\">\n                <span style=\"font-size: 18px;\">Hz<\/span>\n            <\/div>\n        <\/div>\n        <div style=\"display: flex; gap: 10px; margin-top: 20px;\">\n            <button onclick=\"calculate3rdOrder()\" style=\"flex: 2; padding: 15px; border-radius: 8px; border: none; background: #10b981; color: white; font-weight: bold; cursor: pointer; font-size: 16px;\">\u4f9d\u7167\u5716\u4e2d\u516c\u5f0f\u8a08\u7b97<\/button>\n            <button onclick=\"clearForm()\" style=\"flex: 1; padding: 15px; border-radius: 8px; border: 1px solid #94a3b8; background: transparent; color: #94a3b8; cursor: pointer; font-size: 16px;\">\u6e05\u9664<\/button>\n        <\/div>\n    <\/div>\n\n    <div style=\"display: grid; grid-template-columns: repeat(auto-fit, minmax(300px, 1fr)); gap: 20px; margin-bottom: 30px;\">\n        <div style=\"background: #0f172a; padding: 20px; border-radius: 12px; border-top: 4px solid #38bdf8;\">\n            <h4 style=\"color: #38bdf8; margin: 0 0 15px 0; border-bottom: 1px solid #334155; padding-bottom: 5px;\">\u8a08\u7b97\u51fa\u7684\u96fb\u963b (K\u03a9)<\/h4>\n            <div style=\"display: flex; justify-content: space-between; margin-bottom: 10px;\"><span>\u7406\u8ad6\u57fa\u6e96 R =<\/span> <b id=\"out_r\" style=\"color: #fbbf24;\">&#8212;<\/b><\/div>\n            <div style=\"display: flex; justify-content: space-between; margin-bottom: 10px;\"><span>R2 =<\/span> <b id=\"out_r2\">&#8212;<\/b><\/div>\n            <div style=\"display: flex; justify-content: space-between; margin-bottom: 10px;\"><span>R4 =<\/span> <b id=\"out_r4\">&#8212;<\/b><\/div>\n            <div style=\"display: flex; justify-content: space-between;\"><span>R7 =<\/span> <b id=\"out_r7\">&#8212;<\/b><\/div>\n        <\/div>\n        <div style=\"background: #0f172a; padding: 20px; border-radius: 12px; border-top: 4px solid #f472b6;\">\n            <h4 style=\"color: #f472b6; margin: 0 0 15px 0; border-bottom: 1px solid #334155; padding-bottom: 5px;\">\u8a08\u7b97\u51fa\u7684\u96fb\u5bb9 (\u00b5F)<\/h4>\n            <div style=\"display: flex; justify-content: space-between; margin-bottom: 10px;\"><span>C =<\/span> <b id=\"out_c\">&#8212;<\/b><\/div>\n            <div style=\"display: flex; justify-content: space-between; margin-bottom: 10px;\"><span>C2 =<\/span> <b id=\"out_c2\">&#8212;<\/b><\/div>\n            <div style=\"display: flex; justify-content: space-between; margin-bottom: 10px;\"><span>C4 =<\/span> <b id=\"out_c4\">&#8212;<\/b><\/div>\n            <div style=\"display: flex; justify-content: space-between;\"><span>C7 =<\/span> <b id=\"out_c7\">&#8212;<\/b><\/div>\n        <\/div>\n    <\/div>\n\n    <div style=\"background: #0f172a; padding: 20px; border-radius: 12px; border: 1px solid #334155;\">\n        <h3 style=\"color: #fbbf24; font-size: 18px; margin-top: 0;\">\ud83d\udcd8 \u8a08\u7b97\u65b9\u5f0f\u8207\u516c\u5f0f (\u4f9d\u7167\u539f\u5716\u914d\u7f6e)<\/h3>\n        <p style=\"font-size: 13px; color: #cbd5e1;\">R \u7684\u9078\u53d6\u898f\u5247\uff1a\u983b\u7387 $F_c < 200\\text{ Hz}$ \u6642\u4f7f\u7528 $100\\text{ K}\\Omega$\uff0c\u5426\u5247\u4f7f\u7528 $10\\text{ K}\\Omega$\u3002<\/p>\n        <div style=\"display: grid; grid-template-columns: 1fr 1fr; gap: 15px; font-size: 14px; font-family: 'Courier New', monospace; color: #94a3b8;\">\n            <div>\n                $C = \\frac{(10\/R) \\times 50}{2 \\pi F}$<br>\n                $C_2 = \\frac{2455.3}{2 \\pi F R}$<br>\n                $C_4 = \\frac{2108.9}{2 \\pi F R}$<br>\n                $C_7 = \\frac{193.1}{2 \\pi F R}$\n            <\/div>\n            <div>\n                $R_2 = \\frac{407.4}{2 \\pi F C}$<br>\n                $R_4 = \\frac{474.2}{2 \\pi F C}$<br>\n                $R_7 = \\frac{5176.6}{2 \\pi F C}$\n            <\/div>\n        <\/div>\n        <div style=\"margin-top: 20px; border-top: 1px solid #334155; padding-top: 15px; text-align: center;\">\n            <p style=\"color: #cbd5e1; font-size: 14px;\">\u5206\u983b\u983b\u8b5c\u97ff\u61c9\u53c3\u8003\u5716\uff1a<\/p>\n            <img decoding=\"async\" src=\"http:\/\/gccircuit.com\/wordpress\/wp-content\/uploads\/2026\/01\/image-77.png\" alt=\"Spectrum\" style=\"max-width: 100%; border-radius: 8px; margin-top: 10px;\">\n        <\/div>\n    <\/div>\n\n    <script>\n        function calculate3rdOrder() {\n            const F = parseFloat(document.getElementById('fc_input').value);\n            if (isNaN(F) || F <= 0) { alert(\"\u8acb\u8f38\u5165\u6709\u6548\u7684\u983b\u7387\"); return; }\n\n            \/\/ 1. \u6c7a\u5b9a\u57fa\u6e96 R\n            let R = (F < 200) ? 100 : 10;\n            \n            \/\/ 2. \u8a08\u7b97\u5404\u9805\u6578\u503c (\u5b8c\u5168\u4f9d\u7167 image_3ed12d.png \u7684\u516c\u5f0f)\n            const pi2F = 2 * Math.PI * F;\n            \n            \/\/ \u96fb\u5bb9\u985e (uF)\n            const C = ((10 \/ R) * 50) \/ pi2F;\n            const C2 = 2455.3 \/ (pi2F * R);\n            const C4 = 2108.9 \/ (pi2F * R);\n            const C7 = 193.1 \/ (pi2F * R);\n\n            \/\/ \u96fb\u963b\u985e (K Ohm)\n            const R2 = 407.4 \/ (pi2F * C);\n            const R4 = 474.2 \/ (pi2F * C);\n            const R7 = 5176.6 \/ (pi2F * C);\n\n            \/\/ 3. \u66f4\u65b0\u986f\u793a\n            document.getElementById('out_r').innerText = R;\n            document.getElementById('out_c').innerText = C.toFixed(4);\n            document.getElementById('out_c2').innerText = C2.toFixed(4);\n            document.getElementById('out_c4').innerText = C4.toFixed(4);\n            document.getElementById('out_c7').innerText = C7.toFixed(4);\n\n            document.getElementById('out_r2').innerText = R2.toFixed(1);\n            document.getElementById('out_r4').innerText = R4.toFixed(1);\n            document.getElementById('out_r7').innerText = R7.toFixed(0);\n        }\n\n        function clearForm() {\n            document.getElementById('fc_input').value = \"\";\n            const targets = ['out_r', 'out_c', 'out_c2', 'out_c4', 'out_c7', 'out_r2', 'out_r4', 'out_r7'];\n            targets.forEach(id => document.getElementById(id).innerText = \"--\");\n        }\n    <\/script>\n<\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"453\" height=\"263\" src=\"https:\/\/gccircuit.com\/wordpress\/wp-content\/uploads\/2026\/01\/image-78.png\" alt=\"\" class=\"wp-image-223\" srcset=\"https:\/\/gccircuit.com\/wordpress\/wp-content\/uploads\/2026\/01\/image-78.png 453w, https:\/\/gccircuit.com\/wordpress\/wp-content\/uploads\/2026\/01\/image-78-300x174.png 300w\" sizes=\"auto, (max-width: 453px) 100vw, 453px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>3rd Order Butterworth Crossover \u5c08\u696d\u8a08\u7b97\u5668 \u53c3\u8003\u81ea Kaminsky, et. &#8230; <a title=\"\u96fb\u5b50\u5f0f\u5206\u983b\u5668(\u6ffe\u6ce2)\u7dda\u4e0a\u8a08\u7b97\u5668\" class=\"read-more\" href=\"https:\/\/gccircuit.com\/wordpress\/2026\/01\/20\/%e9%9b%bb%e5%ad%90%e5%bc%8f%e5%88%86%e9%a0%bb%e5%99%a8%e6%bf%be%e6%b3%a2%e7%b7%9a%e4%b8%8a%e8%a8%88%e7%ae%97%e5%99%a8\/\" aria-label=\"Read more about \u96fb\u5b50\u5f0f\u5206\u983b\u5668(\u6ffe\u6ce2)\u7dda\u4e0a\u8a08\u7b97\u5668\">\u95b1\u8b80\u5168\u6587<\/a><\/p>\n","protected":false},"author":1,"featured_media":222,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-219","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-diy"],"_links":{"self":[{"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/posts\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/comments?post=219"}],"version-history":[{"count":3,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/posts\/219\/revisions"}],"predecessor-version":[{"id":227,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/posts\/219\/revisions\/227"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/media\/222"}],"wp:attachment":[{"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/categories?post=219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gccircuit.com\/wordpress\/wp-json\/wp\/v2\/tags?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}