{"id":7995,"date":"2025-06-03T10:44:07","date_gmt":"2025-06-03T02:44:07","guid":{"rendered":"https:\/\/www.wangonc.com\/?p=7995"},"modified":"2025-06-03T10:44:07","modified_gmt":"2025-06-03T02:44:07","slug":"kirchhoffs-laws","status":"publish","type":"post","link":"https:\/\/www.wangonc.com\/index.php\/2025\/06\/03\/kirchhoffs-laws\/","title":{"rendered":"\u57fa\u5c14\u970d\u592b\u5b9a\u5f8b"},"content":{"rendered":"

\u524d\u8a00<\/h2>\n

\u81ea\u5b66PCB\u8bbe\u8ba1\u7684\u76f8\u5bf9\u7cfb\u7edf\u7684\u7b14\u8bb0<\/p>\n

\u96c6\u603b\u53c2\u6570\u7535\u8def<\/h2>\n

\u7531\u4e8e\u7535\u78c1\u7684\u76f8\u4e92\u5f71\u54cd\uff08\u7535\u53ef\u4ee5\u751f\u78c1\uff0c\u78c1\u53c8\u80fd\u751f\u7535\uff09\uff0c\u5728\u7535\u8def\u4e0a\u4f1a\u4ea7\u751f\u5f88\u591a\u989d\u5916\u7684\u4f46\u662f\u6211\u4eec\u4e0d\u5e0c\u671b\u6709\u7684\u53c2\u6570\uff0c\u4f8b\u5982\u5bc4\u751f\u7535\u5bb9\u3001\u5bc4\u751f\u7535\u963b\u3001\u5bc4\u751f\u7535\u611f\uff0c\u4ece\u800c\u5bf9\u5468\u56f4\u7684\u5143\u4ef6\u4ea7\u751f\u5f71\u54cd\u3002<\/p>\n

\u800c\u5bf9\u4e8e\u7406\u60f3\u5316\u7684\u60c5\u51b5\uff0c\u5047\u8bbe\u8fd9\u4ea7\u751f\u7684\u9644\u52a0\u73b0\u8c61\u53ef\u4ee5\u88ab\u5206\u522b\u7814\u7a76\uff0c\u5e76\u4e14\u8fd9\u4e9b\u8fc7\u7a0b\u90fd\u5728\u5404\u4e2a\u539f\u4ef6\u5185\u90e8\u8fdb\u884c\uff0c\u4e0d\u4f1a\u5bf9\u5468\u56f4\u7684\u539f\u4ef6\u4ea7\u751f\u4efb\u4f55\u5f71\u54cd\uff0c\u8fd9\u6837\u7684\u539f\u4ef6\u88ab\u79f0\u4e3a\u96c6\u603b\u53c2\u6570\u539f\u4ef6\uff0c\u8fd9\u662f\u4e00\u79cd\u5bf9\u539f\u4ef6\u7684\u7406\u60f3\u5316\u6a21\u578b\u3002<\/p>\n

\u4f8b\u5982\u4e00\u6839\u624b\u673a\u5145\u7535\u7ebf\uff0c\u5728\u96c6\u603b\u6a21\u578b\u7684\u60c5\u51b5\u4e0b\uff0c\u4e5f\u5c31\u662f\u7406\u60f3\u7684\u60c5\u51b5\u4e0b\uff0c\u5c31\u662f\u4e00\u6839\u5bfc\u7ebf\u3002\u4f46\u662f\u5b9e\u9645\u4e0a\uff0c\u8fd9\u8ddf\u5bfc\u7ebf\u5b58\u5728\u7535\u963b\u3001\u7535\u611f\uff0c\u5982\u679c\u6bd4\u8f83\u957f\u8fd8\u5b58\u5728\u6bd4\u8f83\u660e\u663e\u7684\u964d\u538b\u3002<\/p>\n

\u6240\u4ee5\u603b\u7ed3\u6765\u8bf4\uff0c\u96c6\u603b\u53c2\u6570\u7535\u8def\u5c31\u662f\u4e3a\u4e86\u7b80\u5316\u5206\u6790\uff0c\u523b\u610f\u7684\u5ffd\u7565\u4e86\u90a3\u4e9b\u5bc4\u751f\u53c2\u6570\u548c\u7535\u78c1\u73b0\u8c61\u7684\u7406\u60f3\u5316\u6a21\u578b\u3002<\/p>\n

\u4f46\u662f\u5bf9\u4e8e\u96c6\u603b\u53c2\u6570\u7535\u8def\u6a21\u578b\u7684\u4f7f\u7528\uff0c\u662f\u6709\u6761\u4ef6\u7684\uff0c\u4e00\u822c\u6765\u8bf4\u9ad8\u9891\u7535\u8def\u4e0d\u80fd\u591f\u4f7f\u7528\u96c6\u603b\u53c2\u6570\u7535\u8def\uff0c\u5176\u9644\u52a0\u7684\u7535\u78c1\u73b0\u8c61\u662f\u4e0d\u80fd\u591f\u88ab\u5ffd\u7565\u7684\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5b9e\u9645\u7535\u8def\u7684\u5c3a\u5bf8\u5e94\u5f53\u8fdc\u5c0f\u4e8e\u7535\u8def\u5de5\u4f5c\u65f6\u7684\u7535\u78c1\u6ce2\u6ce2\u957f\u3002\u7535\u78c1\u6ce2\u6ce2\u957f\u516c\u5f0f\u5982\u4e0b<\/p>\n

\\lambda_{\u6ce2\u957fm} = \\frac{c_{\u5149\u901f}}{f_{\u9891\u7387Hz}}<\/code><\/pre>\n
\u5728\u9ad8\u9891\u7684\u60c5\u51b5\u4e0b\uff0c\u5176\u6ce2\u957f\u662f\u6bd4\u8f83\u5c0f\u7684\uff0c\u5c31\u53ef\u80fd\u96be\u4ee5\u6ee1\u8db3\u7535\u8def\u7684\u5c3a\u5bf8\u8fdc\u5c0f\u4e8e\u5176\u5de5\u4f5c\u65f6\u7684\u7535\u78c1\u6ce2\u6ce2\u957f\u8fd9\u4e2a\u8981\u6c42\u3002<\/p>\n
\u57fa\u5c14\u970d\u592b\u7535\u6d41\u5b9a\u5f8b(KCL)<\/h2>\n
\u5728\u96c6\u603b\u53c2\u6570\u7535\u8def\u4e2d\uff0c\u4efb\u610f\u65f6\u523b\uff0c\u5bf9\u4efb\u610f\u8282\u70b9\u6d41\u51fa\u6216\u6d41\u5165\u8be5\u8282\u70b9\u7684\u7535\u6d41\u7684\u4ee3\u6570\u548c\u7b49\u4e8e0\uff0c\u516c\u5f0f\u8868\u8fbe\u5982\u4e0b<\/p>\n
\\sum I_{\u6d41\u5165} = \\sum I_{\u6d41\u51fa}<\/code><\/pre>\n
\u7535\u8377\u4e0d\u53ef\u80fd\u88ab\u51ed\u7a7a\u7684\u521b\u9020\u6216\u6d88\u5931\u3002\u5982\u679c\u628a\u7535\u6d41\u6bd4\u4f5c\u6c34\u6d41\uff0c\u8fd9\u4e2a\u5b9a\u5f8b\u5c31\u662f\u518d\u8bf4\uff0c\u5728\u4e00\u7ec4\u6c34\u7ba1\u4e2d\uff0c\u4e00\u4e2a\u8282\u70b9\u6d41\u5165\u7684\u6c34\u6d41\u548c\u6d41\u51fa\u7684\u6c34\u6d41\u80af\u5b9a\u4e00\u6837\u591a\uff0c\u8fd9\u5f88\u597d\u7406\u89e3\uff08\u53ea\u8981\u6c34\u7ba1\u6ca1\u6709\u6f0f\uff09\u3002<\/p>\n
\u6709KCL\u5b9a\u5f8b\u53ef\u4ee5\u7ee7\u7eed\u63a8\u5e7f\uff0cKCL\u5b9a\u4e8e\u4e0d\u6b62\u53ef\u4ee5\u5e94\u7528\u5728\u4e00\u4e2a\u5355\u4e00\u7684\u8282\u70b9\u4e0a\uff0c\u8fd8\u53ef\u4ee5\u5e94\u7528\u5728\u7535\u8def\u4e2d\u5305\u542b\u591a\u4e2a\u8282\u70b9\u7684\u4efb\u610f\u4e00\u4e2a\u95ed\u5408\u9762\u3002\u8fd9\u672c\u8d28\u4e0a\u8fd8\u662f\u5728\u8bf4\u7535\u8377\u5b88\u6052\u3002<\/p>\n
\u4e0b\u9762\u82b1\u4e86\u4e00\u4e2a\u793a\u4f8b\u539f\u7406\u56fe\uff0c\u7bad\u5934\u6240\u6307\u65b9\u5411\u5373\u7535\u6d41\u6d41\u5411\uff08\u7528AD\u753b\u7684\uff0c\u6709\u70b9\u62bd\u8c61\uff0c\u987a\u4fbf\u7ec3\u624b\u4e86\uff09
\n
\"file\"<\/div><\/p>\n
\u9014\u4e2d\u6709\u4e09\u4e2a\u8282\u70b9\uff0c\u5bf9\u4e8e\u8fd9\u4e09\u4e2a\u8282\u70b9\uff0c\u6839\u636eKCL\u5b9a\u5f8b\uff0c\u53ef\u4ee5\u5f97\u5230\u5982\u4e0b\u7684\u4e09\u4e2a\u7ed3\u8bba<\/p>\n
I_1 + I_4 + I_6 = 0\\\\\n-I_2 - I_4 + I_5 = 0\\\\\nI_3 - I_5 - I_6 = 0<\/code><\/pre>\n
\u628a\u4e0a\u8ff0\u4e09\u4e2a\u5f0f\u5b50\u76f8\u52a0\uff0c\u5373\u53ef\u5f97\u5230\u5982\u4e0b\u7ed3\u8bba\uff0c\u5373\u4e0a\u8ff0\u7684\u63a8\u5e7f\u5b9a\u5f8b\uff0c\u5728\u8fd9\u4e2a\u7535\u8def\u7684\u95ed\u5408\u9762\u4e2d\uff0c\u6d41\u5165\u548c\u6d41\u51fa\u7684\u7535\u8377\u4f9d\u65e7\u65f6\u5b88\u6052\u7684<\/p>\n
I_1- I_2+ I_3= 0<\/code><\/pre>\n
\u57fa\u5c14\u970d\u592b\u7535\u538b\u5b9a\u5f8b\uff08KVL\uff09<\/h2>\n
\u5728\u96c6\u603b\u7535\u8def\u4e2d\uff0c\u4efb\u610f\u65f6\u523b\uff0c\u6cbf\u7740\u4efb\u4e00\u56de\u8def\u7ebf\uff0c\u6240\u6709\u652f\u8def\u7535\u538b\u7684\u7535\u538b\u5347\u964d\u4ee3\u6570\u548c\u6052\u7b49\u4e8e0\uff0c\u516c\u5f0f\u8868\u8fbe\u5982\u4e0b<\/p>\n
\\sum U_{\u964d} = \\sum U_{\u5347}<\/code><\/pre>\n
\u4e0eKCL\u4e0d\u540c\uff0cKVL\u7684\u4f5c\u7528\u8303\u56f4\u662f\u4e00\u4e2a\u95ed\u5408\u9762\u3002<\/p>\n
\u4f8b\u5982\u8bf4\u5728\u4e00\u4e2a\u95ed\u5408\u9762\u4e2d\uff0c\u6d41\u7ecf\u7535\u963b\u7684\u7535\u538b\u65f6\u964d\u4f4e\u7684\uff0c\u8fd8\u6709\u67d0\u4e9b\u7535\u6e90\u8ba9\u7535\u538b\u5347\u9ad8\uff0c\u9009\u62e9\u4e00\u4e2a\u56fa\u5b9a\u7684\u987a\u65f6\u9488\u6216\u8005\u9006\u65f6\u9488\uff0c\u95ed\u5408\u7684\u4e00\u5708\u540e\uff0c\u7535\u538b\u53d8\u5316\u5e94\u5f53\u662f0.\u8fd9\u672c\u8d28\u4e0a\u53cd\u5e94\u7684\u662f\u80fd\u91cf\u5b88\u6052\u3002<\/p>\n
\u628a\u70b9\u4ed6\u7c7b\u6bd4\u6210\u722c\u5c71\uff0c\u67d0\u4e2a\u722c\u4e86\u4e00\u5708\u5c71\uff0c\u6700\u540e\u56de\u5230\u4e86\u539f\u4f4d\uff08\u4e00\u4e2a\u95ed\u5408\u9762\uff09\uff0c\u65e0\u8bba\u5b83\u722c\u4e86\u591a\u5c11\u5c71\uff0c\u6700\u7ec8\u4e0a\u5347\u548c\u4e0b\u964d\u7684\u9ad8\u5ea6\u90fd\u5e94\u8be5\u662f\u76f8\u7b49\u7684\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u524d\u8a00 \u81ea\u5b66PCB\u8bbe\u8ba1\u7684\u76f8\u5bf9\u7cfb\u7edf\u7684\u7b14\u8bb0 \u96c6\u603b\u53c2\u6570\u7535\u8def \u7531\u4e8e\u7535\u78c1\u7684\u76f8\u4e92\u5f71\u54cd\uff08\u7535\u53ef\u4ee5\u751f\u78c1\uff0c\u78c1\u53c8\u80fd\u751f\u7535\uff09\uff0c\u5728\u7535\u8def\u4e0a\u4f1a\u4ea7 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,106],"tags":[134,135,136],"series":[],"class_list":["post-7995","post","type-post","status-publish","format-standard","hentry","category-study-notes","category-embedded","tag-pcb","tag-135","tag-136"],"_links":{"self":[{"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/posts\/7995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/comments?post=7995"}],"version-history":[{"count":2,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/posts\/7995\/revisions"}],"predecessor-version":[{"id":7998,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/posts\/7995\/revisions\/7998"}],"wp:attachment":[{"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/media?parent=7995"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/categories?post=7995"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/tags?post=7995"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.wangonc.com\/index.php\/wp-json\/wp\/v2\/series?post=7995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}