{"id":788,"date":"2013-06-02T19:52:31","date_gmt":"2013-06-02T10:52:31","guid":{"rendered":"http:\/\/www.bi.appi.keio.ac.jp\/?p=788"},"modified":"2013-06-03T22:46:50","modified_gmt":"2013-06-03T13:46:50","slug":"%e8%87%aa%e7%84%b6%e7%a7%91%e5%ad%a6%e5%ae%9f%e9%a8%93%ef%bc%88%e7%89%a9%e7%90%86%e5%ad%a6%ef%bc%89-%e3%82%aa%e3%82%b7%e3%83%ad%e3%82%b9%e3%82%b3%e3%83%bc%e3%83%97","status":"publish","type":"post","link":"https:\/\/www.bi.appi.keio.ac.jp\/?p=788","title":{"rendered":"\u81ea\u7136\u79d1\u5b66\u5b9f\u9a13\uff08\u7269\u7406\u5b66\uff09 \u30aa\u30b7\u30ed\u30b9\u30b3\u30fc\u30d7"},"content":{"rendered":"

1\u5e74\u751f\u306e\u81ea\u7136\u79d1\u5b66\u5b9f\u9a13\u306e\u30c6\u30fc\u30de\u306e\u4e00\u3064\u306b\u30aa\u30b7\u30ed\u30b9\u30b3\u30fc\u30d7\u304c\u3042\u308a\u307e\u3059\uff0e\u5fdc\u7528\u8ab2\u984c\u3068\u3057\u3066\uff0c\u62b5\u6297\u3068\u30b3\u30f3\u30c7\u30f3\u30b5\u3067\u4f5c\u308b\u30ed\u30fc\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u306e\u5468\u6ce2\u6570\u7279\u6027\u3092\u8a08\u6e2c\u3059\u308b\u5b9f\u9a13\u304c\u3042\u308a\u307e\u3059\uff0e1\u5e74\u751f\u3067\u306f\u96fb\u6c17\u56de\u8def\u306e\u8b1b\u7fa9\u304c\u306a\u304f\uff0c\u4ea4\u6d41\u56de\u8def\u306e\u89e3\u6790\u306f\u307e\u3060\u7fd2\u3063\u3066\u3044\u307e\u305b\u3093\uff0e1\u5e74\u751f\u306e\u6570\u5b66\u3067\u306f\u975e\u540c\u6b21\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u5b66\u3076\u306e\u3067\uff0c\u30bf\u30a4\u30df\u30f3\u30b0\u306b\u3088\u3063\u3066\u306f\u6570\u5b66\u7684\u306a\u8aac\u660e\u304c\u3067\u304d\u307e\u3059\uff0e\u305d\u308c\u3059\u3089\u3067\u304d\u306a\u3044\u3068\u304d\u306b\u306f\uff0c\u30b3\u30f3\u30c7\u30f3\u30b5\u306e\u6027\u8cea\u3092\u5b9a\u6027\u7684\u306b\u8aac\u660e\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\"rc-lowpass\"<\/a><\/p>\n

\u56f3\u306e\u56de\u8def\u306b\u304a\u3044\u3066\uff0c\u6d41\u308c\u308b\u96fb\u6d41\u3092[latex]i(t)[\/latex]\u3068\u304a\u304f\u3068\uff0c\u62b5\u6297[latex]R[\/latex]\u306e\u90e8\u5206\u306e\u96fb\u5727\u306f[latex]Ri(t)[\/latex]\u3067\u3059\uff0e\u30b3\u30f3\u30c7\u30f3\u30b5[latex]C[\/latex]\u306e\u96fb\u5727\u306f[latex]v_o(t)[\/latex]\u3067\u3059\uff0e\u307e\u305f\uff0c[latex]i(t)=\\displaystyle\\frac{dv_o(t)}{dt}[\/latex]\u3067\u3059\uff08\u3053\u306e\u5f0f\u306f\uff0c[latex]Q=CV[\/latex]\u3068[latex]Q=\\displaystyle\\int i(t)dt[\/latex]\u306e\u95a2\u4fc2\u3067\u8a98\u5c0e\u3057\u307e\u3059\u304c\uff0c\u9ad8\u6821\u306e\u7bc4\u56f2\u3067\u306f\u4e00\u5b9a\u96fb\u6d41\u3092[latex]\\Delta t[\/latex]\u6d41\u3059\u3068\u96fb\u8377\u304c[latex]Q[\/latex]\u306b\u306a\u308b\u3053\u3068\u307e\u3067\u3067\uff0c\u7a4d\u5206\u3067\u306f\u7fd2\u3063\u3066\u3044\u306a\u3044\u3068\u601d\u3044\u307e\u3059\uff09\uff0e<\/p>\n

[latex]v_i(t)=Ri(t) + v_o(t)[\/latex]\u3088\u308a\uff0c\u5fae\u5206\u65b9\u7a0b\u5f0f[latex]v_i(t)=RC\\displaystyle\\frac{dv_o(t)}{dt} + v_o(t)[\/latex]\u3092\u5f97\u307e\u3059\uff0e<\/p>\n

1\u5e74\u751f\u306e\u6570\u5b66\u306e\u7bc4\u56f2\u3067\u89e3\u304f<\/h2>\n

1\u5e74\u751f\u306e\u6570\u5b66\u3067\uff0c\u975e\u540c\u6b21\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u5b66\u3093\u3067\u3044\u308c\u3070\uff0c[latex]v_i(t)=0[\/latex]\u306e\u3068\u304d\u306e\u57fa\u672c\u89e3\u306f\u6642\u9593\u3068\u3068\u3082\u306b\u6e1b\u8870\u3057\u3066\u96f6\u306b\u306a\u308b\u306e\u3067\uff0c[latex]v_i(t)=\\sin \\omega t[\/latex]\u306e\u3068\u304d\u306e\u7279\u89e3\u3092\u6c42\u3081\u308c\u3070\u3088\u3044\u3053\u3068\u304c\u5206\u308a\u307e\u3059\uff0e<\/p>\n

\u7279\u89e3\u306f\uff0c\u3053\u306e\u56de\u8def\u306f\u7dda\u5f62\u7cfb\u3067\u3059\u304b\u3089\uff0c\u5165\u529b\u306e\u6b63\u5f26\u6ce2\u3068\u540c\u3058\u5468\u6ce2\u6570\u3067\u632f\u52d5\u3059\u308b\u3059\u3051\u308c\u3069\u3082\uff0c\u632f\u5e45\u3068\u4f4d\u76f8\u304c\u7570\u306a\u308b\u3060\u3051\u306b\u306a\u308a\u307e\u3059\uff0e\u305d\u3053\u3067\u89e3\u3092[latex]a\\sin(\\omega t + \\phi)[\/latex]\u3068\u3057\u3066\uff0c[latex]a[\/latex]\u3068[latex]\\phi[\/latex]\u3092\u6c42\u3081\u308b\u3053\u3068\u306b\u3057\u307e\u3059\uff0e<\/p>\n

\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3068\uff0c<\/p>\n

[latex]\\sin\\omega t=RCa\\omega\\cos(\\omega t + \\phi) + a\\sin(\\omega t + \\phi)[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e\u53f3\u8fba\u306b\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u9069\u7528\u3059\u308b\u3068\uff0c<\/p>\n

[latex]\\sin\\omega t = \\sqrt{a^2 + (RCa\\omega)^2}\\sin(\\omega t + \\phi + \\psi)[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e\u4e21\u8fba\u306e\u632f\u5e45\u3092\u6bd4\u8f03\u3057\u3066<\/p>\n

[latex]a=\\displaystyle\\frac{1}{\\sqrt{1+(RC\\omega)^2}}[\/latex]<\/p>\n

\u3068\uff0c\u4f4d\u76f8\u3092\u6bd4\u8f03\u3057\u3066[latex]\\phi = -\\psi[\/latex]\u304b\u3089<\/p>\n

[latex]\\phi = -\\tan^{-1}RC\\omega[\/latex]<\/p>\n

\u3092\u5f97\u307e\u3059\uff0e<\/p>\n

\u4ea4\u6d41\u56de\u8def\u306e\u89e3\u6790\uff08\u30d5\u30a7\u30fc\u30b6\u6cd5\uff09\u3067\u89e3\u304f<\/h2>\n

\u7269\u7406\u60c5\u5831\u5de5\u5b66\u79d1\u3067\u306f2\u5e74\u751f\u6625\u5b66\u671f\u306e\u96fb\u6c17\u56de\u8def\u540c\u6f14\u7fd2\u3067\u30d5\u30a7\u30fc\u30b6\u6cd5\u3092\u5b66\u3073\u307e\u3059\uff0e\u30d5\u30a7\u30fc\u30b6\u6cd5\u3067\u306f\uff0c\u56f3\u306e\u56de\u8def\u306f<\/p>\n

[latex]\\dot{V_i} = R\\dot{I} + \\dot{V_o}[\/latex]<\/p>\n

\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\uff0c<\/p>\n

[latex]\\dot{V_o} =\\displaystyle\\frac{1}{j\\omega C}\\dot{I} [\/latex]<\/p>\n

\u3092\u7528\u3044\u3066[latex]\\dot{I}[\/latex]\u3092\u6d88\u53bb\u3059\u308b\u3068\uff0c<\/p>\n

[latex]\\dot{V_i} = (j\\omega RC + 1)\\dot{V_o}[\/latex]<\/p>\n

\u3092\u5f97\u307e\u3059\uff0e\u30b2\u30a4\u30f3\u7279\u6027\u306f<\/p>\n

[latex]\\displaystyle\\left|\\frac{\\dot{V_o}}{\\dot{V_i}}\\right| = \\frac{1}{\\sqrt{1 + (RC\\omega)^2}}[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\u4f4d\u76f8\u7279\u6027\u306f<\/p>\n

[latex]-\\tan^{-1}RC\\omega[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3067\u89e3\u304f<\/h2>\n

\u7269\u7406\u60c5\u5831\u5de5\u5b66\u79d1\u3067\u306f2\u5e74\u751f\u79cb\u5b66\u671f\u306e\u7269\u7406\u60c5\u5831\u6570\u5b66C\u3067\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3092\u5b66\u3073\u307e\u3059\uff0e\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3092\u5b66\u3093\u3067\u3044\u308c\u3070\uff0c\u4f1d\u9054\u95a2\u6570\u306b\u5f62\u5f0f\u7684\u306b[latex]s=j\\omega[\/latex]\u3068\u3057\u3066\u30b2\u30a4\u30f3\u7279\u6027\u3068\u4f4d\u76f8\u7279\u6027\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff0e<\/p>\n

\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3059\u308b\u3068<\/p>\n

[latex]V_o(s) = RCsV_i(s) + V_i(s)[\/latex]<\/p>\n

\u3092\u5f97\u307e\u3059\uff0e\u4f1d\u9054\u95a2\u6570<\/p>\n

[latex]\\displaystyle\\frac{V_o(s)}{V_i(s)} = \\frac{1}{RCs + 1}[\/latex]<\/p>\n

\u3092\u5f97\u307e\u3059\uff0e[latex]s=j\\omega[\/latex]\u3068\u3059\u308c\u3070\uff0c\u4e0a\u8a18\u3068\u540c\u3058\u30b2\u30a4\u30f3\u7279\u6027\u3068\u4f4d\u76f8\u7279\u6027\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\u88dc\u8db3<\/h2>\n

\u5b9f\u9a13\u3092\u65e9\u304f\u7d42\u308f\u3063\u305f\u5b66\u751f\u306b\u306f\uff0c\u5165\u529b\u6ce2\u5f62\u3092\u77e9\u5f62\u6ce2\u306b\u3057\u3066\u7a4d\u5206\u3055\u308c\u3066\u3044\u308b\u69d8\u5b50\u3092\u89b3\u5bdf\u3059\u308b\u3053\u3068\u3084\uff0c\u62b5\u6297\u3068\u30b3\u30f3\u30c7\u30f3\u30b5\u3092\u5165\u308c\u66ff\u3048\u3066\u30cf\u30a4\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u306b\u3057\u3066\uff0c\u5b9a\u6027\u7684\u306b\u3067\u3059\u304c\uff0c\u30cf\u30a4\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u306e\u7279\u6027\u3084\u5165\u529b\u6ce2\uff08\u4e09\u89d2\u6ce2\uff09\u304c\u5fae\u5206\u3055\u308c\u3066\u3044\u308b\u69d8\u5b50\u3092\u89b3\u5bdf\u3057\u3066\u3082\u3089\u3063\u3066\u3044\u307e\u3059\uff0e<\/p>\n","protected":false},"excerpt":{"rendered":"

1\u5e74\u751f\u306e\u81ea\u7136\u79d1\u5b66\u5b9f\u9a13\u306e\u30c6\u30fc\u30de\u306e\u4e00\u3064\u306b\u30aa\u30b7\u30ed\u30b9\u30b3\u30fc\u30d7\u304c\u3042\u308a\u307e\u3059\uff0e\u5fdc\u7528\u8ab2\u984c\u3068\u3057\u3066\uff0c\u62b5\u6297\u3068\u30b3\u30f3\u30c7\u30f3\u30b5\u3067\u4f5c\u308b\u30ed\u30fc\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u306e\u5468\u6ce2\u6570\u7279\u6027\u3092\u8a08\u6e2c\u3059\u308b\u5b9f\u9a13\u304c\u3042\u308a\u307e\u3059\uff0e1\u5e74\u751f\u3067\u306f\u96fb\u6c17\u56de\u8def\u306e\u8b1b\u7fa9\u304c\u306a\u304f\uff0c\u4ea4\u6d41\u56de\u8def\u306e\u89e3\u6790\u306f\u307e\u3060\u7fd2\u3063\u3066\u3044\u307e\u305b\u3093 … “\u81ea\u7136\u79d1\u5b66\u5b9f\u9a13\uff08\u7269\u7406\u5b66\uff09 \u30aa\u30b7\u30ed\u30b9\u30b3\u30fc\u30d7” \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-788","post","type-post","status-publish","format-standard","hentry","category-9"],"_links":{"self":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/788","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=788"}],"version-history":[{"count":89,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/788\/revisions"}],"predecessor-version":[{"id":878,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/788\/revisions\/878"}],"wp:attachment":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=788"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=788"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=788"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}