{"id":28715,"date":"2026-03-10T09:00:55","date_gmt":"2026-03-10T01:00:55","guid":{"rendered":"https:\/\/techclass.wfjydl.com\/?p=28715"},"modified":"2026-03-09T17:33:33","modified_gmt":"2026-03-09T09:33:33","slug":"%e6%ac%a7%e5%a7%86%e5%ae%9a%e5%be%8b-%e7%94%b5%e5%8e%8b%e3%80%81%e7%94%b5%e6%b5%81%e5%8f%8a%e7%94%b5%e9%98%bb%e4%b9%8b%e9%97%b4%e7%9a%84%e5%85%b3%e7%b3%bb","status":"publish","type":"post","link":"https:\/\/techclass.wfjydl.com\/knowledge\/circuit-design\/circuit-design-basic\/21859","title":{"rendered":"\u6b27\u59c6\u5b9a\u5f8b | \u7535\u538b\u3001\u7535\u6d41\u53ca\u7535\u963b\u4e4b\u95f4\u7684\u5173\u7cfb"},"content":{"rendered":"\\(\\)\n<p>\u6b27\u59c6\u5b9a\u5f8b\u662f\u7535\u8def\u7684\u57fa\u672c\u539f\u7406\uff0c\u7528\u201c\u7535\u6d41=\u7535\u538b\u00f7\u7535\u963b\u201d\u7684\u516c\u5f0f\u6765\u8868\u8ff0\u7535\u6d41\u3001\u7535\u538b\u4e0e\u7535\u963b\u4e09\u8005\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u7535\u538b\u8d8a\u9ad8\u7535\u6d41\u8d8a\u5927\uff0c\u800c\u7535\u963b\u8d8a\u5927\u5219\u7535\u6d41\u8d8a\u5c0f\u3002\u4f8b\u5982\uff0c\u5728\u5c06\u5e72\u7535\u6c60\u4e0e\u706f\u6ce1\u4e32\u8054\u8fde\u63a5\u7684\u7535\u8def\u4e2d\uff0c\u7535\u6c60\u7684\u7535\u538b\u548c\u706f\u6ce1\u7684\u7535\u963b\u5171\u540c\u51b3\u5b9a\u4e86\u6d41\u8fc7\u706f\u6ce1\u7684\u7535\u6d41\u91cf\u3002\u672c\u6587\u5c06\u4ece\u57fa\u7840\u5185\u5bb9\u51fa\u53d1\uff0c\u5229\u7528\u8ba1\u7b97\u5de5\u5177\u548c\u516c\u5f0f\u7b49\uff0c\u4ecb\u7ecd\u6b27\u59c6\u5b9a\u5f8b\u5728\u7b80\u5355\u7535\u8def\u8bbe\u8ba1\u4e2d\u7684\u5b9e\u9645\u5e94\u7528\u65b9\u6cd5\u3002<\/p>\n<div class=\"wysiwyg\">\n<p><!-- \u8a08\u7b97\u6a5f\u306e\u30b7\u30e7\u30fc\u30c8\u30b3\u30fc\u30c9 --><\/p>\n<style>\n    .wysiwyg {\n        .fw-bold {\n            font-weight: bold;\n        }\n        .fz-120 {\n            font-size: 120%;\n        }\n        .ta-center {\n            text-align: center;\n        }\n        .calculator-wrapper {\n            display: flex;\n            justify-content: center;\n            align-items: center;\n            padding: 1.5rem;\n            background-color: #f6f6f6;\n        }<\/p>\n<p>        .calculator {\n            width: 100%;\n            max-width: 720px;\n            background: white;\n            border-radius: 12px;\n            box-shadow: 0 4px 12px rgba(0, 0, 0, .05);\n            padding: 1rem 0.8rem;\n        }<\/p>\n<p>        .tagline {\n            text-align: center;\n            margin: 0 0 0.8rem;\n            font-size: 0.9rem;\n            font-weight: 500;\n        }<\/p>\n<p>        \/* selectors *\/\n        .input-selector {\n            display: flex;\n            flex-wrap: wrap;\n            justify-content: center;\n            gap: 0.6rem;\n            margin-bottom: 0.8rem;\n            font-size: 0.9rem;\n        }<\/p>\n<p>        .input-selector select {\n            padding: 0.35rem 0.6rem;\n            border: 1px solid #cfd8e3;\n            border-radius: 12px;\n            background: #fff;\n            font-size: 0.9rem;\n        }<\/p>\n<p>        \/* grid *\/\n        #ohms-form {\n            display: grid;\n            grid-template-columns: repeat(auto-fit, minmax(320px, 1fr));\n            gap: 0.5rem 1rem;\n        }<\/p>\n<p>        .field {\n            display: grid;\n            grid-template-columns: 6rem 1fr 4.5rem;\n            gap: 0.5rem;\n            align-items: center;\n            border-radius: 12px;\n            transition: background 0.15s, border 0.15s;\n        }<\/p>\n<p>        .field.active {\n            background: #fff5f6;\n            border: 1px solid #e60012;\n            padding: 0.4rem;\n        }<\/p>\n<p>        .field label {\n            font-weight: 600;\n        }<\/p>\n<p>        .value-box {\n            position: relative;\n        }<\/p>\n<p>        .value-box input {\n            width: 100%;\n            padding: 0.5rem 0.7rem;\n            border: 1px solid #cfd8e3;\n            border-radius: 12px;\n            font-size: 1rem;\n        }<\/p>\n<p>        .field.active .value-box input {\n            border-color: #e60012;\n            background: #fff;\n        }<\/p>\n<p>        .value-box span {\n            display: none;\n            font-size: 1rem;\n            line-height: 1.4;\n        }<\/p>\n<p>        .field select {\n            width: 100%;\n            padding: 0.5rem 0.7rem;\n            border: 1px solid #cfd8e3;\n            border-radius: 12px;\n            font-size: 0.9rem;\n            background: #fff;\n        }<\/p>\n<p>        .field.active select {\n            border-color: #e60012;\n        }<\/p>\n<p>        .note {\n            grid-column: 1\/-1;\n            margin-top: 0.6rem;\n            text-align: center;\n            font-size: 0.8rem;\n            color: #666;\n        }<\/p>\n<p>        @media (max-width: 600px) {\n            #ohms-form {\n                grid-template-columns: 1fr;\n            }<\/p>\n<p>            .field {\n                grid-template-columns: 1fr;\n            }<\/p>\n<p>            .field label {\n                margin-bottom: 0.2rem;\n            }\n        }\n    }\n<\/style>\n<div class=\"calculator-wrapper\">\n<div class=\"calculator\" role=\"region\" aria-label=\"\u30aa\u30fc\u30e0\u306e\u6cd5\u5247\u8a08\u7b97\u6a5f\">\n<p class=\"fw-bold fz-120 ta-center\">\u6b27\u59c6\u5b9a\u5f8b\u8ba1\u7b97\u5668<\/p>\n<p class=\"tagline\">\u8bf7\u9009\u62e9\u4e24\u4e2a\u8f93\u5165\u9879\u5e76\u586b\u5165\u6570\u503c\uff0c\u8ba1\u7b97\u5668\u5c06\u81ea\u52a8\u8ba1\u7b97\u5176\u4f59\u4e24\u9879\u3002<\/p>\n<div class=\"input-selector\">\n\u8f93\u5165 1:<br \/>\n<select id=\"input1\" onchange=\"refreshSelectors();updateMode()\"><\/select><br \/>\n\u8f93\u5165 2:<br \/>\n<select id=\"input2\" onchange=\"refreshSelectors();updateMode()\"><\/select>\n<\/div>\n<form id=\"ohms-form\" oninput=\"calculate()\">\n<div id=\"rowV\" class=\"field\">\n<p><label for=\"voltage\">\u7535\u538b (V)<\/label><\/p>\n<div class=\"value-box\"><input id=\"voltage\" step=\"any\" type=\"number\" placeholder=\"\u5165\u529b\" \/><br \/>\n<span id=\"outV\">&#8211;<\/span><\/div>\n<p><select id=\"voltageUnit\" onchange=\"calculate()\"><option value=\"1e-3\">mV<\/option><option selected=\"selected\" value=\"1\">V<\/option><option value=\"1e3\">kV<\/option><\/select><\/p>\n<\/div>\n<div id=\"rowI\" class=\"field\">\n<p><label for=\"current\">\u7535\u6d41 (I)<\/label><\/p>\n<div class=\"value-box\"><input id=\"current\" step=\"any\" type=\"number\" placeholder=\"\u5165\u529b\" \/><br \/>\n<span id=\"outI\">&#8211;<\/span><\/div>\n<p><select id=\"currentUnit\" onchange=\"calculate()\"><option value=\"1e-6\">\u03bcA<\/option><option value=\"1e-3\">mA<\/option><option selected=\"selected\" value=\"1\">A<\/option><\/select><\/p>\n<\/div>\n<div id=\"rowR\" class=\"field\">\n<p><label for=\"resistance\">\u7535\u963b (\u03a9)<\/label><\/p>\n<div class=\"value-box\"><input id=\"resistance\" type=\"text\" placeholder=\"\u5165\u529b or \u5f0f\" \/><br \/>\n<span id=\"outR\">&#8211;<\/span><\/div>\n<p><select id=\"resistanceUnit\" onchange=\"calculate()\"><option value=\"1\">\u03a9<\/option><option value=\"1e3\">k\u03a9<\/option><option value=\"1e6\">M\u03a9<\/option><\/select><\/p>\n<\/div>\n<div id=\"rowP\" class=\"field\">\n<p><label for=\"power\">\u529f\u7387 (W)<\/label><\/p>\n<div class=\"value-box\"><input id=\"power\" step=\"any\" type=\"number\" placeholder=\"\u5165\u529b\" \/><br \/>\n<span id=\"outP\">&#8211;<\/span><\/div>\n<p><select id=\"powerUnit\" onchange=\"calculate()\"><option value=\"1e-3\">mW<\/option><option selected=\"selected\" value=\"1\">W<\/option><option value=\"1e3\">kW<\/option><\/select><\/p>\n<\/div>\n<p class=\"note\">\u203b\u7535\u963b\u680f\uff1a\u652f\u6301\u516c\u5f0f\u8f93\u5165\uff08\u4e32\u8054\uff1a+\uff0c\u5e76\u8054\uff1a|\uff09\u793a\u4f8b\uff1a10+2.2|3.3<\/p>\n<\/form>\n<\/div>\n<\/div>\n<p><script>\n    \/* ===== \u5b9a\u6570 ===== *\/\n    const labels = {\n        V: '\u7535\u538b (V)',\n        I: '\u7535\u6d41 (I)',\n        R: '\u7535\u963b (R)',\n        P: '\u529f\u7387 (P)'\n    };<\/p>\n<p>    \/* ===== \u5358\u4f4d\u5909\u63db ===== *\/\n    const toBase = (v, f) => v * f,\n        fromBase = (v, f) => v \/ f;<\/p>\n<p>    \/* ===== \u62b5\u6297\u5f0f\u30d1\u30fc\u30b5 ===== *\/\n    function parseResistanceExpr(str) {\n        const t = tokenize(str.replace(\/\\s+\/g, ''));\n        let p = 0;\n        const peek = () => t[p],\n            consume = () => t[p++];\n        const expr = () => {\n            let v = term();\n            while (peek() && peek().type === '+') {\n                consume();\n                v += term();\n            }\n            return v;\n        };\n        const term = () => {\n            const a = [factor()];\n            while (peek() && peek().type === '|') {\n                consume();\n                a.push(factor());\n            }\n            if (a.length === 1) return a[0];\n            const rec = a.reduce((s, v) => s + 1 \/ v, 0);\n            if (rec === 0) throw Error('\u4e26\u5217\u3067 0');\n            return 1 \/ rec;\n        };\n        const factor = () => {\n            const tk = consume();\n            if (!tk) throw Error('\u5f0f\u4e0d\u6b63');\n            if (tk.type === 'number') return tk.value;\n            if (tk.type === '(') {\n                const v = expr();\n                if (!peek() || consume().type !== ')') throw Error('\u62ec\u5f27');\n                return v;\n            }\n            throw Error('\u6570\u5024or\u62ec\u5f27');\n        };\n        const r = expr();\n        if (peek()) throw Error('\u5f0f\u672b\u5c3e');\n        return r;\n    }<\/p>\n<p>    function tokenize(s) {\n        const o = [];\n        let i = 0;\n        while (i < s.length) {\n            const c = s[i];\n            if (\/[0-9.]\/.test(c)) {\n                let st = i;\n                while (i < s.length &#038;&#038; \/[0-9.]\/.test(s[i])) i++; o.push({ type: 'number', value: parseFloat(s.slice(st, i)) }); } else if ('+|()'.includes(c)) { o.push({ type: c }); i++; } else throw Error('\u672a\u77e5:' + c); } return o; } \/* ===== \u30bb\u30ec\u30af\u30bf\u66f4\u65b0 ===== *\/ function refreshSelectors() { const sel1 = document.getElementById('input1'); const sel2 = document.getElementById('input2'); const val1 = sel1.value || 'V'; const val2 = sel2.value || 'I'; buildOptions(sel1, val2, val1); buildOptions(sel2, val1, val2); } function buildOptions(select, exclude, current) { select.innerHTML = ''; for (const k of Object.keys(labels)) { if (k === exclude) continue; const opt = document.createElement('option'); opt.value = k; opt.textContent = labels[k]; select.appendChild(opt); } if ([...select.options].every(o => o.value !== current)) {\n            select.selectedIndex = 0;\n        } else {\n            select.value = current;\n        }\n    }<\/p>\n<p>    \/* ===== \u5165\u529b\/\u51fa\u529b\u5207\u66ff ===== *\/\n    function updateMode() {\n        const in1 = document.getElementById('input1').value,\n            in2 = document.getElementById('input2').value;\n        ['V', 'I', 'R', 'P'].forEach(k => {\n            const row = document.getElementById('row' + k),\n                inp = document.getElementById({\n                    V: 'voltage',\n                    I: 'current',\n                    R: 'resistance',\n                    P: 'power'\n                } [k]),\n                span = document.getElementById('out' + k);\n            if (k === in1 || k === in2) {\n                row.classList.add('active');\n                inp.style.display = 'block';\n                span.style.display = 'none';\n                inp.disabled = false;\n            } else {\n                row.classList.remove('active');\n                inp.style.display = 'none';\n                span.style.display = 'inline';\n                inp.disabled = true;\n                inp.value = '';\n                span.textContent = '-';\n            }\n        });\n        setResError('');\n        calculate();\n    }<\/p>\n<p>    \/* ===== \u5024\u53d6\u5f97 ===== *\/\n    function numField(id, unit) {\n        const v = parseFloat(document.getElementById(id).value);\n        const f = parseFloat(document.getElementById(unit).value);\n        return isFinite(v) ? toBase(v, f) : undefined;\n    }<\/p>\n<p>    function setResError(msg) {\n        const note = document.querySelector('.note');\n        if (!note) return;\n        if (!note.dataset.base) note.dataset.base = note.textContent;\n        if (msg) {\n            note.textContent = note.dataset.base + ' \/ \u5165\u529b\u30a8\u30e9\u30fc: ' + msg;\n            note.style.color = '#c53030';\n        } else {\n            note.textContent = note.dataset.base;\n            note.style.color = '#666';\n        }\n    }<\/p>\n<p>    function isIncompleteResExpr(s) {\n        if (!s) return true;\n        if (\/[+|.]$\/.test(s) || s === '(') return true;\n        const open = (s.match(\/\\(\/g) || []).length;\n        const close = (s.match(\/\\)\/g) || []).length;\n        if (open > close) return true;\n        return false;\n    }<\/p>\n<p>    function resField() {\n        const raw = document.getElementById('resistance').value;\n        const t = raw.trim();\n        if (!t) {\n            setResError('');\n            return undefined;\n        }\n        const f = parseFloat(document.getElementById('resistanceUnit').value);\n        const s = t.replace(\/\\s+\/g, '');\n        const isPlainNumber = \/^[+-]?(?:\\d+\\.?\\d*|\\.\\d+)(?:[eE][+-]?\\d+)?$\/.test(s);\n        const isExpr = !isPlainNumber;\n        if (isExpr && isIncompleteResExpr(s)) {\n            setResError('');\n            return undefined;\n        }\n        try {\n            const r = isPlainNumber ? parseFloat(s) : parseResistanceExpr(s);\n            if (!isFinite(r)) throw Error('\u6570\u5024\u4e0d\u6b63');\n            setResError('');\n            return r * f;\n        } catch (e) {\n            if (isExpr && isIncompleteResExpr(s)) {\n                setResError('');\n                return undefined;\n            }\n            setResError(e && e.message ? e.message : '\u5f0f\u4e0d\u6b63');\n            return undefined;\n        }\n    }<\/p>\n<p>    function getField(k) {\n        switch (k) {\n            case 'V':\n                return numField('voltage', 'voltageUnit');\n            case 'I':\n                return numField('current', 'currentUnit');\n            case 'R':\n                return resField();\n            case 'P':\n                return numField('power', 'powerUnit');\n        }\n    }<\/p>\n<p>    function setOutput(k, val) {\n        const map = {\n            V: ['voltage', 'voltageUnit', 'outV'],\n            I: ['current', 'currentUnit', 'outI'],\n            R: ['resistance', 'resistanceUnit', 'outR'],\n            P: ['power', 'powerUnit', 'outP']\n        };\n        const [_, unit, spanId] = map[k];\n        const f = parseFloat(document.getElementById(unit).value);\n        document.getElementById(spanId).textContent = fromBase(val, f).toPrecision(6).replace(\/\\.0+$\/, '');\n    }<\/p>\n<p>    \/* ===== \u30e1\u30a4\u30f3\u8a08\u7b97 ===== *\/\n    function calculate() {\n        const in1 = document.getElementById('input1').value,\n            in2 = document.getElementById('input2').value;\n        if (in1 === in2) return;\n        const inputs = {\n            [in1]: getField(in1),\n            [in2]: getField(in2)\n        };\n        if (Object.values(inputs).some(v => v === undefined)) return;\n        let V = inputs.V,\n            I = inputs.I,\n            R = inputs.R,\n            P = inputs.P;\n        try {\n            if (V !== undefined && I !== undefined) {\n                R = V \/ I;\n                P = V * I;\n            } else if (V !== undefined && R !== undefined) {\n                I = V \/ R;\n                P = V * I;\n            } else if (V !== undefined && P !== undefined) {\n                I = P \/ V;\n                R = V \/ I;\n            } else if (I !== undefined && R !== undefined) {\n                V = I * R;\n                P = V * I;\n            } else if (I !== undefined && P !== undefined) {\n                V = P \/ I;\n                R = V \/ I;\n            } else if (R !== undefined && P !== undefined) {\n                I = Math.sqrt(P \/ R);\n                V = I * R;\n            }\n        } catch (e) {\n            return;\n        }\n        const outs = {\n            V,\n            I,\n            R,\n            P\n        };\n        Object.entries(outs).forEach(([k, val]) => {\n            if (k !== in1 && k !== in2 && val !== undefined) setOutput(k, val);\n        });\n    }<\/p>\n<p>    \/* ===== \u521d\u671f\u5316 ===== *\/\n    (function init() { \/\/ populate selectors\n        document.addEventListener('DOMContentLoaded', () => {\n            buildOptions(document.getElementById('input1'), 'I', 'V');\n            buildOptions(document.getElementById('input2'), 'V', 'I');\n            updateMode();\n        });\n    })();\n<\/script><\/p>\n<h2 id=\"toc1\">\u6b27\u59c6\u5b9a\u5f8b\u7684\u57fa\u672c\u539f\u7406\uff08\u76f4\u6d41\uff09<\/h2>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u5728\u73b0\u4ee3\u7269\u7406\u5b66\u548c\u7535\u5b50\u5de5\u7a0b\u5b66\u9886\u57df\u53d1\u6325\u7740\u6838\u5fc3\u4f5c\u7528\uff0c\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u7535\u8def\u5206\u6790\u548c\u8bbe\u8ba1\u7b49\u4f17\u591a\u573a\u666f\u3002\u5176\u4e3b\u8981\u6d89\u53ca\u7535\u538b\\(V\\)\u3001\u7535\u6d41\\(I\\)\u548c\u7535\u963b\\(R\\)\u4e09\u4e2a\u53d8\u91cf\u3002\u672c\u8282\u4f1a\u5148\u4ecb\u7ecd\u5728\u5b9e\u9645\u6d4b\u91cf\u7535\u6d41\u6216\u5206\u6790\u7535\u8def\u65f6\u5b9e\u7528\u7684\u201c\u8ba1\u7b97\u5de5\u5177\u201d\uff0c\u7136\u540e\u63a2\u8ba8\u7535\u538b\u3001\u7535\u6d41\u3001\u7535\u963b\u5404\u8981\u7d20\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u673a\u5236\uff0c\u5176\u540e\u4ecb\u7ecd\u76f8\u5173\u65b9\u7a0b\u5f0f\u53ca\u5355\u4f4d\u7684\u5b9a\u4e49\u3002\u6700\u540e\u4f1a\u63d0\u5230\u201cVRI\u4e09\u89d2\u5f62\u201d\u548c\u201cVRIP\u8f6e\u76d8\u201d\u7b49\u53ef\u89c6\u5316\u5de5\u5177\uff0c\u901a\u8fc7\u8fd9\u4e9b\u76f4\u89c2\u7684\u56fe\u8868\u6e05\u6670\u5730\u5c55\u793a\u7535\u963b\u7535\u8def\u7684\u57fa\u672c\u5173\u7cfb\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/01_ohms_law_triangle.png\" alt=\"\u6b27\u59c6\u5b9a\u5f8b\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc2\">\u6b27\u59c6\u5b9a\u5f8b\u7684\u57fa\u672c\u516c\u5f0f\u548c\u5355\u4f4d<\/h3>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u7684\u5e38\u89c1\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n<p><!-- \u6570\u5f0f --><\/p>\n<p><span class=\"mathjax-text\">\\(V=\u2008IR\\)<\/span><\/p>\n<p>\u6839\u636e\u6b27\u59c6\u5b9a\u5f8b\u53ef\u77e5\uff1a\u201c\u5f53\u7535\u963b\u6052\u5b9a\u65f6\uff0c\u7535\u538b\u4e0e\u7535\u6d41\u6210\u6b63\u6bd4\u201d\uff0c\u201c\u5f53\u7535\u6d41\u6052\u5b9a\u65f6\uff0c\u7535\u538b\u4e0e\u7535\u963b\u6210\u6b63\u6bd4\u201d\u3002<\/p>\n<ul class=\"unordered-list\">\n<li>\\(V\\)\uff08\u4f0f\u7279\uff09\uff1a\u7528\u6765\u63a8\u52a8\u7535\u8377\u8f7d\u6d41\u5b50\u7684\u7535\u4f4d\u5dee\uff08\u9a71\u52a8\u7535\u538b\uff09<br \/>\n\u7535\u538b\u901a\u5e38\u4ee5\u4f0f\u7279\uff08V\uff09\u4e3a\u5355\u4f4d\u8fdb\u884c\u6d4b\u91cf\uff0c\u4e3a\u7535\u6d41\u6d41\u52a8\u63d0\u4f9b\u6240\u9700\u7684\u52bf\u80fd\u3002\u7535\u538b\u7531\u7535\u6c60\u6216\u7535\u6e90\u63d0\u4f9b\uff0c\u4e3a\u7535\u5b50\u63d0\u4f9b\u52a8\u529b\uff0c\u4ea7\u751f\u6d41\u7ecf\u7535\u8def\u7684\u7535\u6d41\u3002<\/li>\n<li>\\(I\\)\uff08\u5b89\u57f9\uff09\uff1a\u6d41\u7ecf\u7535\u963b\u7684\u7535\u6d41\u91cf<br \/>\n\u7535\u6d41\u901a\u5e38\u4ee5\u5b89\u57f9\uff08A\uff09\u4e3a\u5355\u4f4d\u8fdb\u884c\u6d4b\u91cf\uff0c\u8868\u793a\u7535\u5b50\u5728\u5bfc\u4f53\u4e2d\u6d41\u52a8\u7684\u901f\u5ea6\u548c\u65b9\u5411\u3002\u7535\u6d41\u901a\u5e38\u7531\u7535\u538b\u9a71\u52a8\uff0c\u53ef\u6d4b\u91cf\u7535\u8def\u4e2d\u79fb\u52a8\u7684\u7535\u5b50\u91cf\u3002<\/li>\n<li>\\(R\\)\uff08\u6b27\u59c6\uff09\uff1a\u7535\u6d41\u6d41\u52a8\u7684\u963b\u529b\u5f3a\u5ea6\uff08\u7535\u963b\u503c\uff09<br \/>\n\u7535\u963b\u4ee5\u6b27\u59c6\uff08\u03a9\uff09\u4e3a\u5355\u4f4d\u8fdb\u884c\u6d4b\u91cf\uff0c\u5f53\u7535\u6d41\u901a\u8fc7\u7535\u963b\u65f6\u4f1a\u6d88\u8017\u80fd\u91cf\u3002\u7535\u963b\u4f1a\u4f7f\u7535\u6d41\u51cf\u5c11\uff0c\u5e76\u9650\u5236\u7535\u5b50\u7684\u6d41\u52a8\u3002<\/li>\n<\/ul>\n<p>\u8be5\u516c\u5f0f\u4e5f\u53ef\u4ee5\u53d8\u5f62\u5982\u4e0b\uff1a<\/p>\n<p><!-- \u6570\u5f0f --><\/p>\n<p><span class=\"mathjax-text\">\\(I= \\displaystyle\\frac{V}{R},\u2008R=\\displaystyle\\frac{V}{I}\\)<\/span><\/p>\n<p>\u4f8b\u5982\uff0c\u7ed910\u03a9\u7684\u7535\u963b\u5668\u65bd\u52a010V\u7535\u538b\u65f6\uff0c\u7535\u6d41\u4e3a1A\u3002\u57fa\u4e8e\u8fd9\u4e00\u660e\u786e\u7684\u6bd4\u4f8b\u5173\u7cfb\uff0c\u53ef\u8f7b\u677e\u5b8c\u6210LED\u7528\u7535\u963b\u5668\u7684\u9009\u578b\u53ca\u7535\u6d41\u7684\u7cbe\u786e\u6d4b\u91cf\u7b49\u5de5\u4f5c\u3002<\/p>\n<p>\u7535\u538b\u662f\u7535\u80fd\u7684\u201c\u63a8\u52a8\u529b\u201d\uff0c\u7535\u6d41\u8868\u793a\u5355\u4f4d\u65f6\u95f4\u5185\u901a\u8fc7\u67d0\u4e00\u70b9\u7684\u7535\u8377\u91cf\uff0c\u800c\u7535\u963b\u5219\u662f\u8861\u91cf\u8fd9\u79cd\u6d41\u52a8\u53d7\u963b\u7a0b\u5ea6\u7684\u6570\u503c\u3002\u8fd9\u4e9b\u53d8\u91cf\u80fd\u591f\u901a\u8fc7\u6570\u5b66\u516c\u5f0f\u660e\u786e\u5b9a\u4e49\uff0c\u5bf9\u4e8e\u5de5\u7a0b\u5e08\u548c\u5b66\u751f\u5904\u7406\u7535\u8def\u7684\u5e2e\u52a9\u5f88\u5927\u3002<\/p>\n<h3 id=\"toc3\">VRI\u4e09\u89d2\u5f62\u548cVRIP\u8f6e\u76d8<\/h3>\n<p>\u5bf9\u5f88\u591a\u4eba\u6765\u8bf4\uff0c\u5229\u7528\u76f4\u89c2\u8bb0\u5fc6\u6cd5\u7406\u89e3\u7535\u538b\uff08\\(V\\)\uff09\u3001\u7535\u963b\uff08\\(R\\)\uff09\u3001\u7535\u6d41\uff08\\(I\\)\uff09\u4e4b\u95f4\u7684\u5173\u7cfb\u65f6\uff0c\u901a\u8fc7\u201cVRI\u4e09\u89d2\u5f62\u201d\uff08\u6b27\u59c6\u5b9a\u5f8b\u4e09\u89d2\u5f62\uff0cOhm\u2019s Law triangle\uff09\u548c\u5305\u542b\u529f\u7387\u7684\u201cVRIP\u8f6e\u76d8\u201d\uff08\u6b27\u59c6\u5b9a\u5f8b\u8f6e\u76d8\uff09\u6765\u7406\u89e3\u4f1a\u66f4\u7b80\u5355\u3002\u5728\u4e09\u89d2\u5f62\u7248\u672c\u4e2d\uff0c\u5c06\\(V\\)\u7f6e\u4e8e\u9876\u70b9\uff0c\\(I\\)\u548c\\(R\\)\u5206\u522b\u7f6e\u4e8e\u5e95\u8fb9\u4e24\u7aef\uff0c\u5f53\u9690\u85cf\u6240\u6c42\u53d8\u91cf\u65f6\uff0c\u5269\u4f59\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u4e58\u9664\u5173\u7cfb\u4fbf\u80fd\u4e00\u76ee\u4e86\u7136\u3002<\/p>\n<p>VRIP\u8f6e\u76d8\uff08\u5706\u76d8\uff09\u5219\u662f\u5c06\u5305\u62ec\u529f\u7387\\(P\\)\u5728\u5185\u76844\u4e2a\u53d8\u91cf\u5e03\u6392\u5728\u4e00\u4e2a\u5706\u76d8\u4e0a\u3002\u8981\u8ba1\u7b97\u7535\u8def\u5143\u5668\u4ef6\u6d88\u8017\u7684\u529f\u7387\u6216\u7535\u6c60\u7684\u8f93\u51fa\u529f\u7387\u65f6\uff0c\u53ef\u7ed3\u5408\u6b27\u59c6\u5b9a\u5f8b\u4f7f\u7528\u516c\u5f0f\u201c\\(P\\) = \\(VI\\)\u201d\u8fdb\u884c\u6c42\u89e3\u3002<\/p>\n<p>\u5c06\u8fd9\u7c7b\u56fe\u89e3\u5f20\u8d34\u4e8e\u968f\u65f6\u53ef\u67e5\u770b\u4e4b\u5904\u4f5c\u4e3a\u5b66\u4e60\u8f85\u52a9\u6750\u6599\u4f7f\u7528\uff0c\u76f8\u6bd4\u6b7b\u8bb0\u786c\u80cc\u80fd\u66f4\u5feb\u66f4\u51c6\u786e\u5730\u8fdb\u884c\u8ba1\u7b97\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u8f7b\u677e\u8fdb\u884c\u8bf8\u5982\u201c\\(P\\) = \\(I^2\\) \\(R\\)\u201d\u548c\u201c\\(P\\) = \\(V^2\\) \/ \\(R\\)\u201d\u7b49\u516c\u5f0f\u8f6c\u6362\uff0c\u4ece\u800c\u5927\u5e45\u51cf\u5c11\u7535\u8def\u8bbe\u8ba1\u548c\u6545\u969c\u6392\u67e5\u4e2d\u7ecf\u5e38\u53d1\u751f\u7684\u8ba1\u7b97\u9519\u8bef\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/02-vri-triangle-and-vrip-wheel.png\" alt=\"VRI\u4e09\u89d2\u5f62\u548cVRIP\u8f6e\u76d8\" width=\"700\" height=\"394\" \/><\/p>\n<h2 id=\"toc4\">\u4e32\u8054\u7535\u8def\u548c\u5e76\u8054\u7535\u8def\u4e2d\u7684\u6b27\u59c6\u5b9a\u5f8b<\/h2>\n<p>\u4e32\u8054\u7535\u8def\u662f\u6307\u7535\u5b50\u5143\u5668\u4ef6\u4ee5\u4e32\u8054\u65b9\u5f0f\u8fde\u63a5\u7684\u7535\u8def\uff0c\u7535\u6d41\u6d41\u7ecf\u540c\u4e00\u8def\u5f84\u3002\u800c\u5e76\u8054\u7535\u8def\u5219\u662f\u7535\u5b50\u5143\u5668\u4ef6\u5e76\u8054\u8fde\u63a5\u3001\u7535\u6d41\u5206\u6d41\u901a\u8fc7\u5404\u5e76\u8054\u652f\u8def\u7684\u7535\u8def\u3002\u4e32\u8054\u7535\u8def\u7684\u7279\u6027\u4e4b\u4e00\u662f\u7535\u963b\u76f8\u52a0\u540e\u7684\u603b\u7535\u963b\u8f83\u9ad8\u3002\u5e76\u8054\u7535\u8def\u901a\u8fc7\u8ba1\u7b97\u5404\u7535\u963b\u7684\u5012\u6570\u4e4b\u548c\u5373\u53ef\u6c42\u51fa\u603b\u7535\u963b\u3002<\/p>\n<h3 id=\"toc5\">\u4e32\u8054\u7535\u8def<\/h3>\n<p>\u5728\u4e32\u8054\u7535\u8def\u4e2d\uff0c\u7535\u963b\u7b49\u5143\u5668\u4ef6\u6309\u987a\u5e8f\u8fde\u63a5\uff0c\u5171\u4eab\u540c\u4e00\u901a\u8def\u3002\u5176\u7279\u70b9\u5982\u4e0b\uff1a<\/p>\n<p>\u30fb\u7535\u6d41\uff1a\u4e32\u8054\u7535\u8def\u4e2d\u6240\u6709\u5143\u5668\u4ef6\u6d41\u8fc7\u7684\u7535\u6d41\u76f8\u540c\u3002<br \/>\n\u30fb\u5206\u538b\uff1a\u7535\u538b\u88ab\u5206\u914d\u7ed9\u5404\u5143\u5668\u4ef6\u3002\u6839\u636e\u6b27\u59c6\u5b9a\u5f8b\uff0c\u5728\u4e32\u8054\u7535\u8def\u4e2d\uff0c\u7531\u4e8e\u6240\u6709\u5143\u5668\u4ef6\u6d41\u8fc7\u76f8\u540c\u7535\u6d41\uff0c\u56e0\u6b64\u5404\u5143\u5668\u4ef6\u7684\u7535\u538b\u964d\u9075\u5faa=\u2009\u5173\u7cfb\u5f0f\uff0c\u4e0e\u7535\u963b\u503c\u6210\u6b63\u6bd4\u3002\u9ad8\u7535\u963b\u5143\u5668\u4ef6\u9700\u8981\u5206\u914d\u8f83\u9ad8\u7535\u538b\u3002<br \/>\n\u30fb\u603b\u7535\u963b\u8ba1\u7b97\uff1a\u4e32\u8054\u7535\u8def\u4e2d\u5404\u5143\u5668\u4ef6\u7684\u7535\u963b\u503c\u76f8\u52a0\u5373\u4e3a\u603b\u7535\u963b\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5408\u6210\u7535\u963b\u53ea\u662f\u5404\u5143\u5668\u4ef6\u7535\u963b\u503c\u76f8\u52a0\u5f97\u5230\u7684\u603b\u548c\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/03_series_circuit.png\" alt=\"\u4e32\u8054\u7535\u8def\u7684\u7535\u538b\u964d\u4e0e\u5408\u6210\u7535\u963b\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc6\">\u5e76\u8054\u7535\u8def<\/h3>\n<p>\u5728\u5e76\u8054\u7535\u8def\u4e2d\uff0c\u5143\u5668\u4ef6\u5e76\u8054\u8fde\u63a5\uff0c\u5177\u6709\u591a\u6761\u7535\u6d41\u8def\u5f84\u3002\u5e76\u8054\u7535\u8def\u7684\u7279\u70b9\u5982\u4e0b\uff1a<\/p>\n<p>\u30fb\u5206\u6d41\uff1a\u5728\u5e76\u8054\u7535\u8def\u4e2d\uff0c\u7535\u6d41\u4f1a\u5206\u652f\u5e76\u6d41\u5165\u5404\u5143\u5668\u4ef6\u3002\u5404\u5143\u5668\u4ef6\u5355\u72ec\u63a5\u6536\u7535\u6d41\u3002<br \/>\n\u30fb\u7535\u538b\uff1a\u6240\u6709\u5143\u5668\u4ef6\u5171\u4eab\u76f8\u540c\u7684\u7535\u538b\u3002\u8fd9\u610f\u5473\u7740\u65bd\u52a0\u7ed9\u5e76\u8054\u7535\u8def\u4e2d\u6bcf\u4e2a\u5143\u5668\u4ef6\u4e24\u7aef\u7684\u7535\u538b\u76f8\u540c\u3002<br \/>\n\u30fb\u5012\u6570\u7535\u963b\uff1a\u5c06\u5404\u5143\u5668\u4ef6\u7535\u963b\u7684\u5012\u6570\uff081\/\u963b\u503c\uff09\u76f8\u52a0\uff0c\u5373\u53ef\u6c42\u5f97\u6574\u4e2a\u5e76\u8054\u7535\u8def\u7684\u5408\u6210\u7535\u963b\u3002\u8be5\u5408\u6210\u7535\u963b\u662f\u901a\u8fc7\u5c06\u5012\u6570\u76f8\u52a0\u5e76\u53d6\u5176\u5012\u6570\u8ba1\u7b97\u5f97\u51fa\u7684\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/04-ohms-law-with-parallel-circuit.png\" alt=\"\u5e76\u8054\u7535\u8def\u7684\u5206\u6d41\u4e0e\u5408\u6210\u7535\u963b\" width=\"700\" height=\"394\" \/><\/p>\n<p><span class=\"fw-bold\">\u793a\u4f8b<\/span>\uff1a\u5c064\u03a9\u548c12\u03a9\u5e76\u8054\u8fde\u63a5 \u2192 \\(R_{total}\\)=3\u03a9\u3002<br \/>\n<!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/05-example-of-equivalent-resistance-in-parallel-circuit.png\" alt=\"\u5e76\u8054\u8fde\u63a5\u65f6\u7684\u5408\u6210\u7535\u963b\u793a\u4f8b\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc7\">\u7535\u8def\u8ba1\u7b97\u5de5\u5177\u7684\u5e94\u7528<\/h3>\n<p>\u5728\u5b66\u4e60\u7535\u8def\u884c\u4e3a\u65f6\uff0c\u521d\u5b66\u9636\u6bb5\u53ef\u4f7f\u7528\u201c\u6b27\u59c6\u5b9a\u5f8b\u8ba1\u7b97\u5de5\u5177\u201d\u8fdb\u884c\u6570\u503c\u9a8c\u8bc1\u3002\u4f8b\u5982\uff0c\u53ea\u9700\u8f93\u5165\u9a71\u52a8\u7535\u538b\u3001\u7535\u963b\\(R\\)\uff0c\u6216\u76ee\u6807\u7535\u6d41\u548c\u7535\u963b\u503c\uff0c\u8ba1\u7b97\u5de5\u5177\u4fbf\u4f1a\u81ea\u52a8\u8ba1\u7b97\u51fa\u7535\u538b\u964d\u3001\u7535\u6d41\u7b49\u672a\u77e5\u91cf\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u6cd5\uff0c\u53ef\u4ee5\u6709\u6548\u51cf\u5c11\u5728\u5904\u7406\u65f6\u53d8\u7535\u8def\u548c\u76f4\u6d41\u7535\u8def\u65f6\u65b9\u7a0b\u5f0f\u8bbe\u5b9a\u4e2d\u7684\u9519\u8bef\uff0c\u4ece\u800c\u63d0\u5347\u5de5\u4f5c\u6548\u7387\u3002<\/p>\n<p>\u901a\u8fc7\u5c1d\u8bd5\u8f93\u5165\u4e0d\u540c\u6570\u503c\u53ef\u4ee5\u53d1\u73b0\u6b63\u6bd4\u548c\u53cd\u6bd4\u5173\u7cfb\uff1a\u5f53\u7535\u538b\\(V\\)\u5347\u9ad8\u65f6\u7535\u6d41\\(I\\)\u968f\u4e4b\u589e\u5927\uff0c\u800c\u5f53\u7535\u963b\\(R\\)\u589e\u5927\u65f6\u7535\u8def\u7535\u6d41\u5c31\u4f1a\u51cf\u5c0f\u3002\u8fd9\u79cd\u76f4\u63a5\u5173\u8054\u6027\u5bf9\u4e8e\u8bbe\u8ba1\u7535\u8def\u548c\u6392\u67e5\u7535\u8def\u6545\u969c\u800c\u8a00\u81f3\u5173\u91cd\u8981\u3002\u6700\u540e\u901a\u8fc7\u5c06\u8fd9\u4e9b\u8ba1\u7b97\u5de5\u5177\u5f97\u51fa\u7684\u7ed3\u679c\u4e0e\u5b9e\u6d4b\u6570\u636e\uff08\u5982\u4f7f\u7528\u6d4b\u8bd5\u4eea\u6d4b\u5f97\u7684\u7535\u6d41\u503c\uff09\u8fdb\u884c\u6bd4\u5bf9\uff0c\u5373\u53ef\u9a8c\u8bc1\u7406\u8bba\u63a8\u6f14\u4e0e\u5b9e\u9645\u72b6\u51b5\u662f\u5426\u51c6\u786e\u543b\u5408\u3002<\/p>\n<h3 id=\"toc8\">\u7535\u6d41\u3001\u7535\u538b\u3001\u7535\u963b\u4e4b\u95f4\u7684\u5173\u7cfb<\/h3>\n<p>\u8be5\u5b9a\u5f8b\u7684\u524d\u63d0\u662f\u7269\u7406\u6761\u4ef6\u6052\u5b9a\uff0c\u5c24\u5176\u662f\u6e29\u5ea6\u4fdd\u6301\u6052\u5b9a\u3002\u5b9e\u9645\u7684\u7535\u8def\u5143\u5668\u4ef6\uff0c\u5b58\u5728\u56e0\u6e29\u5347\u7b49\u56e0\u7d20\u5bfc\u81f4\u963b\u503c\u968f\u65f6\u95f4\u53d8\u5316\u7684\u60c5\u51b5\uff0c\u6b64\u65f6\u4e25\u5bc6\u7684\u6570\u503c\u53ef\u80fd\u4f1a\u51fa\u73b0\u504f\u5dee\u3002\u867d\u7136\u5982\u6b64\uff0c\u4f46\u5982\u679c\u6e29\u5ea6\u7a33\u5b9a\uff0c\u4e14\u7535\u8def\u4ec5\u542b\u7eaf\u7535\u963b\u5143\u4ef6\uff0c\u8fd0\u7528\u6b27\u59c6\u5b9a\u5f8b\u6765\u628a\u63e1\u7535\u538b\u3001\u7535\u6d41\u4e0e\u7535\u963b\u4e09\u8005\u7684\u5173\u7cfb\uff0c\u4e0d\u4ec5\u975e\u5e38\u7b80\u5355\u6613\u61c2\uff0c\u4e14\u975e\u5e38\u5b9e\u7528\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u8bbe\u60f3\u4e00\u4e2a\u5728\u76f4\u6d41\uff08DC\uff09\u7535\u6c60\u4e0a\u8fde\u63a51\u4e2a\u7535\u963b\u5668\u7684\u7b80\u5355\u7535\u8def\u3002\u82e5\u7535\u538b\u6052\u5b9a\uff0c\u5219\u7535\u6d41\u5927\u5c0f\u7531\u7535\u963b\u503c\u51b3\u5b9a\u3002\u8fd9\u79cd\u7b80\u4fbf\u6027\uff0c\u6b63\u662f\u201c\u6b27\u59c6\u5b9a\u5f8b\u201d\u5728\u7535\u6c14\u7535\u5b50\u9886\u57df\u57fa\u7840\u5b66\u4e60\u4e2d\u88ab\u9891\u7e41\u4f7f\u7528\u7684\u539f\u56e0\u4e4b\u4e00\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/06_Image_of_relationship_between_voltage_and_current.png\" alt=\"\u7535\u6d41\u3001\u7535\u538b\u3001\u7535\u963b\u4e4b\u95f4\u7684\u5173\u7cfb\uff08\u4ee5\u6c34\u6d41\u4e3a\u55bb\uff09\" width=\"700\" height=\"394\" \/><\/p>\n<h2 id=\"toc9\">\u6b27\u59c6\u5b9a\u5f8b\u5728\u7535\u8def\u4e2d\u7684\u4f5c\u7528<\/h2>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u7edd\u975e\u5355\u7eaf\u7684\u7406\u8bba\uff0c\u901a\u8fc7\u5c06\u7535\u8def\u5206\u89e3\u4e3a\u7ebf\u6027\u548c\u7a33\u6001\u533a\u95f4\uff0c\u4fbf\u53ef\u501f\u52a9\u6b27\u59c6\u5b9a\u5f8b\u5bf9\u7535\u538b\u964d\u548c\u635f\u8017\u7b49\u53c2\u6570\u8fdb\u884c\u6982\u7b97\u3002\u901a\u8fc7\u660e\u786e\u7535\u538b\u3001\u7535\u6d41\u53ca\u7535\u963b\u4e4b\u95f4\u7684\u76f8\u4e92\u5173\u7cfb\uff0c\u80fd\u591f\u6b63\u786e\u64cd\u4f5c\u7535\u8def\u5143\u5668\u4ef6\uff0c\u51c6\u786e\u5730\u638c\u63e1\u6d41\u8fc7\u7684\u7535\u6d41\u548c\u7535\u538b\u964d\u7b49\u60c5\u51b5\u3002\u672c\u8282\u5c06\u901a\u8fc7\u7531\u7535\u963b\u5668\u548c\u5bfc\u7ebf\u6784\u6210\u7684\u7535\u8def\u5b9e\u4f8b\uff0c\u8bb2\u89e3\u5982\u4f55\u6c42\u89e3\u76f8\u5173\u53c2\u6570\u3002<\/p>\n<h3 id=\"toc10\">\u7535\u963b\u5668\u548c\u5bfc\u4f53\u5b9e\u4f8b<\/h3>\n<p>\u7535\u5b50\u8bbe\u5907\u4e2d\u5b58\u5728\u5404\u79cd\u5143\u5668\u4ef6\uff0c\u5176\u4e2d\u4ec5\u542b\u7535\u963b\u5206\u91cf\u7684\u7535\u963b\u5668\u53ef\u4ee5\u8bf4\u662f\u6700\u7b80\u5355\u6613\u61c2\u7684\u5b9e\u4f8b\u3002\u7535\u963b\u5668\u4e0a\u6807\u670910\u03a9\u30011k\u03a9\u3001100k\u03a9\u7b49\u8272\u73af\u6807\u793a\u503c\u6216\u5370\u5237\u7684\u6807\u79f0\u503c\uff0c\u8fd9\u4e9b\u7535\u963b\u5668\u5728\u76f4\u6d41\u7535\u8def\u7b49\u5e94\u7528\u573a\u666f\u4e2d\u80fd\u901a\u8fc7\u591a\u5c11\u7535\u6d41\uff0c\u53ef\u901a\u8fc7\u516c\u5f0f\u201c\\(V\\) = \\(IR\\)\u201d\u7acb\u5373\u8ba1\u7b97\u5f97\u51fa\u3002<\/p>\n<p>\u5728\u7535\u6e90\u7535\u538b\u6052\u5b9a\u4e14\u7535\u963b\u4fdd\u6301\u5b9a\u503c\\(R\\)\u7684\u7406\u60f3\u6761\u4ef6\u4e0b\uff0c\u7535\u6d41\\(I\\)\u4e5f\u5c06\u4fdd\u6301\u6052\u5b9a\u3002\u7136\u800c\uff0c\u7531\u4e8e\u5bfc\u7ebf\u53ca\u5176\u4ed6\u5143\u5668\u4ef6\u672c\u8eab\u4e5f\u5b58\u5728\u975e\u5e38\u5fae\u5c0f\u7684\u7535\u963b\uff0c\u5728\u9ad8\u7cbe\u5ea6\u5e94\u7528\u548c\u5927\u529f\u7387\u5e94\u7528\u573a\u666f\uff0c\u9700\u8981\u8003\u8651\u5230\u8fd9\u4e9b\u201c\u6b8b\u4f59\u7535\u963b\u201d\u3002\u4f8b\u5982\uff0c\u5728\u9a71\u52a8\u8fdc\u7aef\u8bbe\u5907\u7684\u957f\u8ddd\u79bb\u5e03\u7ebf\u7535\u8def\u4e2d\uff0c\u5bfc\u7ebf\u81ea\u8eab\u7684\u7535\u963b\u5f80\u5f80\u4f1a\u6210\u4e3a\u4e0d\u53ef\u5ffd\u89c6\u7684\u7535\u6d41\u635f\u8017\u6e90\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/07-resistors-and-conductors-in-practical-use.png\" alt=\"\u5404\u79cd\u7535\u963b\u5668\u7684\u5916\u89c2\u793a\u4f8b\" width=\"700\" height=\"394\" \/><\/p>\n<h2 id=\"toc11\">\u6b27\u59c6\u5b9a\u5f8b\u7684\u5177\u4f53\u8ba1\u7b97<\/h2>\n<p>\u63a5\u4e0b\u6765\u8bb2\u89e3\u5982\u4f55\u8fd0\u7528\u6b27\u59c6\u5b9a\u5f8b\u8fdb\u884c\u5b9e\u9645\u8ba1\u7b97\u3002\u4f1a\u4ecb\u7ecd\u8fd0\u7528\u7535\u8def\u4e2d\u7684\u6b63\u6bd4\u548c\u53cd\u6bd4\u6c42\u89e3\u672a\u77e5\u91cf\u7684\u65b9\u6cd5\uff0c\u4ee5\u53ca\u638c\u63e1\u7535\u8def\u4e2d\u5404\u5143\u5668\u4ef6\u7535\u538b\u964d\u7684\u6b65\u9aa4\u3002\u8fd9\u4e00\u8fc7\u7a0b\u5bf9\u4e8e\u5143\u5668\u4ef6\u9009\u578b\u53ca\u9a8c\u8bc1\u8bbe\u8ba1\u662f\u5426\u7b26\u5408\u8981\u6c42\u7684\u5de5\u4f5c\u800c\u8a00\u81f3\u5173\u91cd\u8981\u3002<\/p>\n<h3 id=\"toc12\">\u6b63\u6bd4\u4e0e\u53cd\u6bd4\u7684\u5173\u7cfb<\/h3>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u7684\u57fa\u672c\u516c\u5f0f\\(V\\) = \\(IR\\)\u8868\u660e\uff0c\u5f53\u9a71\u52a8\u7535\u538b\\(V\\)\u6052\u5b9a\u65f6\uff0c\u589e\u5927\u7535\u963b\\(R\\)\u4f1a\u4f7f\u7535\u6d41\\(I\\)\u51cf\u5c0f\uff0c\u800c\u51cf\u5c0f\u7535\u963b\u5219\u4f1a\u4f7f\u7535\u6d41\u589e\u5927\u3002\u4f8b\u5982\uff0c\u5c066\u03a9\u7535\u963b\u5668\u4e0e12V\u7535\u6c60\u8fde\u63a5\u65f6\uff0c\u6d41\u8fc72A\u7684\u7535\u6d41\uff1b\u82e5\u5c06\u7535\u963b\u66f4\u6362\u4e3a12\u03a9\u7684\uff0c\u5219\u7535\u6d41\u53d8\u4e3a1A\u3002\u53e6\u5916\uff0c\u5982\u679c\u7535\u963b\u4fdd\u6301\u4e0d\u53d8\uff0c\u5c06\u7535\u538b\u63d0\u5347\u81f32\u500d\u65f6\uff0c\u7535\u6d41\u4e5f\u4f1a\u968f\u4e4b\u589e\u81f32\u500d\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/08-example-of-direct-inverse-proportionality-in-ohms-law.png\" alt=\"\u6b27\u59c6\u5b9a\u5f8b\u4e2d\u6b63\u6bd4\u4e0e\u53cd\u6bd4\u7684\u5173\u7cfb\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc13\">\u5b9e\u9645\u7535\u8def\u4e2d\u7684\u7535\u538b\u964d\u60c5\u51b5<\/h3>\n<p>\u53ea\u8981\u77e5\u9053\u7535\u8def\u4e2d\u6d41\u7ecf\u7684\u7535\u6d41\u5927\u5c0f\uff0c\u5c31\u53ef\u4ee5\u8fdb\u4e00\u6b65\u8ba1\u7b97\u5404\u5143\u5668\u4ef6\u7684\u7535\u538b\u964d\u3002\u4f8b\u5982\uff0c\u572812V\u7535\u6e90\u4e0a\u4e32\u8054\u8fde\u63a5\u7535\u963b\\(R_1\\) = 3\u03a9\u548c\\(R_2\\) = 5\u03a9\u65f6\uff0c\u5408\u6210\u7535\u963b\u4e3a8\u03a9\u3002\u6240\u4ee5\uff0c<\/p>\n<p>\\(I\\) = 12V \/ 8\u03a9 = 1.5A<\/p>\n<p>\u7531\u6b64\uff0c\\(R_1\\)\u7684\u7535\u538b\u964d\u4e3a<\/p>\n<p>\\(V_1\\) = 1.5A \u00d7 3\u03a9 = 4.5V<\/p>\n<p>\\(R_2\\)\u7684\u7535\u538b\u964d\u4e3a<\/p>\n<p>\\(V_2\\) = 1.5A \u00d7 5\u03a9 = 7.5V<\/p>\n<p>\u56e0\u6b64\uff0c\u603b\u7535\u538b\u4e3a4.5V + 7.5V = 12V\uff0c\u4e0e\u7535\u6e90\u7535\u538b\u4e00\u81f4\u3002\u901a\u8fc7\u5982\u4e0a\u8ba1\u7b97\uff0c\u53ef\u4ee5\u5f88\u5bb9\u6613\u638c\u63e1\u6574\u4e2a\u7535\u8def\u4e2d\u80fd\u8017\u7684\u5206\u5e03\u60c5\u51b5\u3002\\(R_2\\)\u7684\u963b\u503c\u8d8a\u5927\uff0c\u8be5\u5904\u7684\u7535\u538b\u964d\u4e5f\u8d8a\u5927\uff0c\u529f\u8017\u4e5f\u968f\u4e4b\u589e\u52a0\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/09-observing-voltage-drops-in-real-circuits.png\" alt=\"\u5b9e\u9645\u7535\u8def\u4e2d\u7684\u7535\u538b\u964d\u5173\u7cfb\" width=\"700\" height=\"394\" \/><\/p>\n<h2 id=\"toc14\">\u6b27\u59c6\u5b9a\u5f8b\u7684\u5e94\u7528\u8303\u56f4<\/h2>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u5e76\u975e\u4ec5\u9002\u7528\u4e8e\u75311\u8282\u7535\u6c60\u548c1\u4e2a\u7535\u963b\u6784\u6210\u7684\u7b80\u5355\u7535\u8def\u3002\u5728\u5b9e\u9645\u7535\u5b50\u8bbe\u5907\u4e2d\uff0c\u5f88\u591a\u7535\u8def\u5143\u5668\u4ef6\u901a\u8fc7\u4e32\u8054\u3001\u5e76\u8054\u6216\u4e24\u8005\u76f8\u7ed3\u5408\u7684\u65b9\u5f0f\u8fde\u63a5\u3002\u672c\u8282\u5c06\u4ecb\u7ecd\u591a\u7535\u963b\u60c5\u51b5\u4e0b\u7684\u5408\u6210\u7535\u963b\u8ba1\u7b97\u65b9\u6cd5\uff0c\u5e76\u57fa\u4e8e\u6b64\u63a2\u8ba8\u529f\u7387\u5206\u6790\u7684\u601d\u8def\u3002\u8fd9\u5bf9\u4e8e\u5b89\u5168\u6027\u548c\u8282\u80fd\u800c\u8a00\u975e\u5e38\u91cd\u8981\u3002<\/p>\n<h3 id=\"toc15\">\u4e32\u8054\u548c\u5e76\u8054\u8fde\u63a5\u65f6\u7684\u5408\u6210\u7535\u963b<\/h3>\n<p>\u5f53\u5b58\u57282\u4e2a\u4ee5\u4e0a\u7535\u963b\u65f6\uff0c\u57fa\u672c\u6b65\u9aa4\u662f\u5148\u6c42\u51fa\u5408\u6210\u7535\u963b\uff0c\u518d\u5e94\u7528\u6b27\u59c6\u5b9a\u5f8b\u3002\u4e32\u8054\u7535\u8def\u4e2d\u7535\u963b\u503c\u76f8\u52a0\u6c42\u548c\uff1a<\/p>\n<p>\\(R_{total}\\) = \\(R_1\\) + \\(R_2\\) + \u2026<\/p>\n<p>\u5e76\u8054\u7535\u8def\u5219\u662f\u5c06\u7535\u963b\u503c\u7684\u5012\u6570\u76f8\u52a0\u540e\u518d\u53d6\u5176\u5012\u6570\uff1a<\/p>\n<p>1 \/ \\(R_{total}\\) = 1 \/ \\(R_1\\) + 1 \/ \\(R_2\\) + \u2026<\/p>\n<p>\u4f8b\u5982\uff0c\u5f534\u03a9\u548c12\u03a9\u7684\u7535\u963b\u5e76\u8054\u8fde\u63a5\u65f6\uff0c\u5408\u6210\u7535\u963b\\(R_{total}\\)\u4e3a3\u03a9\u3002\u8fd9\u662f\u7531\u4e8e\u5728\u5e76\u8054\u7535\u8def\u4e2d\uff0c\u5404\u7535\u963b\u7684\u7535\u4f4d\u5dee\u76f8\u540c\uff0c\u800c\u7535\u6d41\u662f\u5206\u6d41\u7684\uff0c\u56e0\u800c\u4ee5\u5012\u6570\u6c42\u548c\u3002\u5c06\u7535\u8def\u5206\u89e3\u4e3a\u7b80\u5355\u7684\u5143\u4ef6\u5e76\u6c42\u89e3\u6700\u7ec8\u7535\u6d41\u548c\u7535\u538b\u964d\uff0c\u662f\u5206\u6790\u542b\u591a\u4e2a\u7535\u963b\u7684\u7535\u8def\u65f6\u4e0d\u53ef\u6216\u7f3a\u7684\u65b9\u6cd5\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/10-combining-resistors-in-series-and-parallel.png\" alt=\"\u4e32\u8054\u548c\u5e76\u8054\u8fde\u63a5\u65f6\u7684\u5408\u6210\u7535\u963b\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc16\">\u529f\u7387\uff08P\uff09\u7684\u8ba1\u7b97<\/h3>\n<p>\u5728\u7535\u8def\u8bbe\u8ba1\u548c\u8bc4\u4f30\u8fc7\u7a0b\u4e2d\uff0c\u51c6\u786e\u638c\u63e1\u7535\u529b\u6d88\u8017\u4e0e\u4f9b\u7ed9\u60c5\u51b5\u975e\u5e38\u91cd\u8981\u3002\u5728\u7535\u538b\\(V\\)\u3001\u7535\u6d41\\(I\\)\u548c\u7535\u963b\\(R\\)\u4e09\u8005\u4e4b\u5916\uff0c\u8fd8\u9700\u8003\u91cf\u529f\u7387\\(P\\)\u8fd9\u4e00\u8981\u7d20\u3002\u4f7f\u7528\u57fa\u672c\u516c\u5f0f\\(P\\) = \\(VI\\)\uff0c\u5e76\u7ed3\u5408\u6b27\u59c6\u5b9a\u5f8b\uff08\\(V\\) = \\(IR\\)\uff09\uff0c\u53ef\u63a8\u5bfc\u51fa\\(P\\) = \\(I^2\\)\\(R\\)\u548c\\(P\\) = \\(V^2\\) \/ \\(R\\)\u7b49\u516c\u5f0f\u3002\u4f8b\u5982\uff0c\u5f53\u7ed9\\(R\\)=10\u03a9\u7684\u7535\u963b\u65bd\u52a05V\u7535\u538b\u65f6\uff0c<\/p>\n<p>\\(I\\) = 5V \/ 10\u03a9 = 0.5A<br \/>\n\\(P\\) = 5V \u00d7 0.5A = 2.5W<\/p>\n<p>\u5982\u679c\u8be5\u7535\u963b\u5668\u7684\u5bb9\u8bb8\u529f\u7387\u6700\u9ad8\u4e3a2W\uff0c\u5219\u5b58\u5728\u8fc7\u70ed\u6216\u70e7\u6bc1\u7684\u98ce\u9669\u3002\u56e0\u6b64\uff0c\u9700\u8981\u5c06\u6b27\u59c6\u5b9a\u5f8b\u548c\u529f\u7387\u8ba1\u7b97\u7ed3\u5408\u8d77\u6765\u6821\u9a8c\u5143\u5668\u4ef6\u7684\u989d\u5b9a\u53c2\u6570\uff0c\u4ece\u800c\u5b9e\u73b0\u53ef\u964d\u4f4e\u635f\u574f\u98ce\u9669\u7684\u8bbe\u8ba1\u65b9\u6848\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/11_Ohms_law_and_power_relationship.png\" alt=\"\u529f\u7387\u8ba1\u7b97\" width=\"700\" height=\"394\" \/><\/p>\n<h2 id=\"toc17\">\u6b27\u59c6\u5b9a\u5f8b\u5728\u4ea4\u6d41\u7535\u8def\u548c\u590d\u6570\u963b\u6297\u4e2d\u7684\u6269\u5c55\u5e94\u7528<\/h2>\n<p>\u5728\u4ea4\u6d41\u7535\u8def\u4e2d\u5e94\u7528\u6b27\u59c6\u5b9a\u5f8b\u65f6\uff0c\u9700\u8981\u8003\u8651\u5230\u963b\u6297\uff08\\(Z\\)\uff09\u8fd9\u4e00\u56e0\u7d20\u3002\u963b\u6297\u662f\u7535\u963b\u548c\u7535\u6297\u7684\u7ec4\u5408\u503c\uff0c\u8868\u793a\u4ea4\u6d41\u7535\u8def\u4e2d\u7535\u538b\u548c\u7535\u6d41\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/12-ohms-law-in-ac-circuits.png\" alt=\"\u5728\u4ea4\u6d41\u7535\u8def\u548c\u590d\u6570\u963b\u6297\u4e2d\u7684\u6269\u5c55\u5e94\u7528\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc18\">\u963b\u6297Z<\/h3>\n<p><!-- \u6570\u5f0f --><\/p>\n<p><span class=\"mathjax-text\">\\(Z = R + jX \u2003\u2003|Z|=\\sqrt{R^2+X^2}, \u03b8=tan^{-1} \\left(\\displaystyle\\frac{X}{R}\\right)\\)<\/span><\/p>\n<ul class=\"unordered-list\">\n<li>\\(X\\)\u4e3a\u5b9e\u6570\u7535\u6297\uff0c\u7535\u611f\\(X_L\\)=\u03c9L\uff08&gt;0\uff09\uff0c\u7535\u5bb9\u202f\\(X_C\\)=\u22121\/(\u03c9C)\uff08&lt;0\uff09<\/li>\n<li>\u76f8\u4f4d\u89d2\\(\u03b8\\)\u57280\u00b0\u65f6\u4e3a\u7eaf\u7535\u963b\uff0c\u5728\u00b190\u00b0\u65f6\u4e3a\u7eaf\u7535\u6297<\/li>\n<\/ul>\n<p>\u4ea4\u6d41\u7535\u8def\u7684\u6709\u6548\u529f\u7387\u4e3a\\(P\\) = \\(V_{rms}\\)\\(I_{rms}\\)\\({cos\u03b8}\\)\uff08\\(\u03b8\\)\uff1a\u7535\u538b\u548c\u7535\u6d41\u7684\u76f8\u4f4d\u5dee\uff0c\\({cos\u03b8}\\)\uff1a\u529f\u7387\u56e0\u6570\uff09\u3002\u8be6\u60c5\u8bf7\u53c2\u9605\u201c<a href=\"https:\/\/techclass.wfjydl.com\/knowledge\/si\/s-si\/11967\">\u4ea4\u6d41\u7535\uff08AC\uff09\u57fa\u7840<\/a>\u201d\u3002<\/p>\n<h2 id=\"toc19\">\u4e0d\u9002\u7528\u6b27\u59c6\u5b9a\u5f8b\u7684\u60c5\u51b5<\/h2>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u5728\u4ee5\u4f4e\u9891\u548c\u76f4\u6d41\u4e3a\u4e3b\u7684\u7eaf\u7535\u963b\u7535\u8def\u4e2d\u53ef\u4ee5\u5f88\u7b80\u6d01\u5730\u5e94\u7528\uff0c\u4f46\u5728\u5b9e\u9645\u7535\u8def\u4e2d\uff0c\u67d0\u4e9b\u6761\u4ef6\u4e0b\u8fd9\u79cd\u7b80\u5355\u7684\u6bd4\u4f8b\u5173\u7cfb\u53ef\u80fd\u4f1a\u5931\u6548\u3002\u672c\u8282\u5c06\u4ecb\u7ecd\u65e0\u6cd5\u76f4\u63a5\u5e94\u7528\u6b27\u59c6\u5b9a\u5f8b\u7684\u573a\u666f\uff0c\u5305\u62ec\u6e29\u5ea6\u53d8\u5316\u5bfc\u81f4\u7684\u7535\u963b\u503c\u6f02\u79fb\u3001\u542b\u975e\u7ebf\u6027\u5143\u4ef6\u53ca\u9ad8\u9891\u5206\u91cf\u7b49\u60c5\u51b5\u3002<\/p>\n<h3 id=\"toc20\">\u6e29\u5ea6\u53d8\u5316\u5bf9\u7535\u963b\u7684\u5f71\u54cd<\/h3>\n<p>\u5f88\u591a\u91d1\u5c5e\u5bfc\u4f53\u5177\u6709\u6e29\u5ea6\u5347\u9ad8\u65f6\u7535\u963b\\(R\\)\u968f\u4e4b\u589e\u5927\u7684\u7279\u6027\u3002\u4f8b\u5982\uff0c\u5728\u706f\u6ce1\u521a\u70b9\u4eae\u65f6\uff0c\u706f\u4e1d\u6e29\u5ea6\u8f83\u4f4e\u72b6\u6001\u4e0b\u7535\u963b\u8f83\u5c0f\uff0c\u6b64\u65f6\u4f1a\u901a\u8fc7\u8f83\u5927\u7535\u6d41\uff1b\u4f46\u968f\u7740\u52a0\u70ed\u8fc7\u7a0b\u6301\u7eed\uff0c\u7535\u963b\u9010\u6e10\u589e\u5927\uff0c\u6700\u7ec8\u7535\u6d41\u51cf\u5c0f\u5e76\u8d8b\u4e8e\u7a33\u5b9a\u3002\u8fd9\u79cd\u6e29\u5ea6\u4f9d\u8d56\u73b0\u8c61\u4ec5\u9760\u6b27\u59c6\u5b9a\u5f8b\u65e0\u6cd5\u6db5\u76d6\uff0c\u6b63\u662f\u9700\u8981\u5b9e\u9645\u6d4b\u91cf\u5e76\u8003\u8651\u5230\u6e29\u5ea6\u7279\u6027\u7684\u6848\u4f8b\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/13-how-temperature-affects-resistance.png\" alt=\" \u6e29\u5ea6\u53d8\u5316\u5bf9\u7535\u963b\u7684\u5f71\u54cd\" width=\"700\" height=\"394\" \/><\/p>\n<h3 id=\"toc21\">\u975e\u7ebf\u6027\u5143\u4ef6\u548c\u9ad8\u9891\u8303\u56f4<\/h3>\n<p>\u4e8c\u6781\u7ba1\u3001\u6676\u4f53\u7ba1\u4ee5\u53caIC\u7b49\u975e\u7ebf\u6027\u5143\u4ef6\uff0c\u5176\\(V\\)\u4e0e\\(I\\)\u5e76\u975e\u59cb\u7ec8\u4fdd\u6301\u7ebf\u6027\u6bd4\u4f8b\u5173\u7cfb\u3002\u5bf9\u4e8e\u4e8c\u6781\u7ba1\u800c\u8a00\uff0c\u5f53\u6b63\u5411\u7535\u538b\u8d85\u8fc7\u7279\u5b9a\u9608\u503c\u65f6\uff0c\u7535\u6d41\u4f1a\u6025\u5267\u589e\u52a0\uff0c\u56e0\u6b64\u4e0d\u80fd\u7b80\u5355\u5730\u4f5c\u4e3a\u666e\u901a\u201c\u7535\u963b\u503c\u201d\u5904\u7406\u3002\u6676\u4f53\u7ba1\u662f\u901a\u8fc7\u57fa\u6781\u548c\u6805\u6781\u8f93\u5165\u4fe1\u53f7\u6765\u63a7\u5236\u7535\u6d41\u7684\u5de5\u4f5c\u673a\u5236\uff0c\u4e0e\u6b27\u59c6\u5b9a\u5f8b\u6240\u5047\u8bbe\u7684\u7eaf\u7535\u963b\u5b58\u5728\u672c\u8d28\u4e0a\u7684\u5dee\u5f02\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u5728\u9ad8\u9891\u8303\u56f4\uff0c\u7535\u611f\u548c\u7535\u5bb9\u5f15\u8d77\u7684\u76f8\u4f4d\u504f\u79fb\u53ca\u7535\u6297\u4f1a\u4ea7\u751f\u5f88\u5927\u5f71\u54cd\uff0c\u5fc5\u987b\u8003\u8651\u5230\u89c6\u5728\u529f\u7387\u548c\u65e0\u529f\u529f\u7387\u7b49\u56e0\u7d20\uff0c\u8fd9\u5df2\u8d85\u51fa\u4e86\\(V\\) = \\(I\\) \u00d7 \\(R\\)\u7684\u5355\u7eaf\u6846\u67b6\u3002\u7136\u800c\uff0c\u5728\u5f88\u591a\u60c5\u51b5\u4e0b\uff0c\u5de5\u7a0b\u5e08\u4f1a\u5c06\u7535\u8def\u5206\u89e3\u4e3a\u82e5\u5e72\u5c0f\u90e8\u5206\uff0c\u4ec5\u5bf9\u7535\u963b\u5143\u4ef6\u5e94\u7528\u6b27\u59c6\u5b9a\u5f8b\uff0c\u800c\u9488\u5bf9\u975e\u7ebf\u6027\u53ca\u9ad8\u9891\u5143\u4ef6\u5219\u91c7\u7528\u5176\u4ed6\u5206\u6790\u65b9\u6cd5\u8fdb\u884c\u5904\u7406\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/14-linear-and-non-linear-i-v-characteristics.png\" alt=\"\u7ebf\u6027\u548c\u975e\u7ebf\u6027\u793a\u610f\u56fe\" width=\"700\" height=\"394\" \/><\/p>\n<p>\u6b64\u5916\uff0c\u4ee5\u4e0b\u6761\u4ef6\u53ef\u80fd\u4e0d\u9002\u7528\u6b27\u59c6\u5b9a\u5f8b\uff0c\u6216\u8005\u4f1a\u4f7f\u8bef\u5dee\u589e\u5927\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>\u4e3b\u8981\u539f\u56e0<\/th>\n<th>\u5f71\u54cd<\/th>\n<th>\u5bf9\u7b56<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u6e29\u5ea6\u4e0a\u5347<\/td>\n<td>\\(R\\)\u968fTCR\uff08=\u202f\\({ppm}\\)\/\\({\u00b0C}\\)\uff09\u53d8\u5316\u800c\u53d8\u5316<\/td>\n<td>\u4f4eTCR\u7535\u963b\u3001\u6563\u70ed\u8bbe\u8ba1\u3001\u964d\u989d\u8bbe\u8ba1<\/td>\n<\/tr>\n<tr>\n<td>\u81ea\u53d1\u70ed<\/td>\n<td>\\(R\\)\u4e0e\\(P\\)=\\(I^2\\)\\(R\\)\u6210\u6b63\u6bd4\u6ce2\u52a8<\/td>\n<td>\u5229\u7528\u91d1\u5c5e\u677f\u578b\u5206\u6d41\u7535\u963b\u964d\u4f4e\u70ed\u963b<\/td>\n<\/tr>\n<tr>\n<td>\u538b\u529b\u3001\u5e94\u529b<\/td>\n<td>\u4f20\u611f\u5668\u7b94\u5f0f\u7535\u963b\u7b49\u5bfc\u81f4\\(R\\)\u6ce2\u52a8<\/td>\n<td>\u5e94\u53d8\u7247\u5f0f\u91c7\u7528\u6865\u8def\u8865\u507f<\/td>\n<\/tr>\n<tr>\n<td>\u975e\u7ebf\u6027\u5143\u4ef6<\/td>\n<td>\u4e8c\u6781\u7ba1\u3001MOSFET\u7684\\(I\\)\u2013\\(V\\)\u7279\u6027\u66f2\u7ebf\u5448\u975e\u7ebf\u6027<\/td>\n<td>\u901a\u8fc7\u6280\u672f\u89c4\u683c\u4e66\u66f2\u7ebf\u8fdb\u884c\u5efa\u6a21<\/td>\n<\/tr>\n<tr>\n<td>\u9ad8\u9891\u8303\u56f4<\/td>\n<td>\\(L\\)\/\\(C\\)\u5f15\u8d77\u76f8\u4f4d\u504f\u79fb\u548c\u8d8b\u80a4\u6548\u5e94<\/td>\n<td>\u963b\u6297\u5206\u6790\u5de5\u5177\u3001SPICE\u9891\u7387\u5206\u6790<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"toc22\">\u6b27\u59c6\u5b9a\u5f8b\u5728\u7535\u8def\u8bbe\u8ba1\u4e2d\u7684\u5e94\u7528\u5b9e\u4f8b<\/h2>\n<p>\u7406\u89e3\u6b27\u59c6\u5b9a\u5f8b\u540e\uff0c\u5728\u5b9e\u9645\u6784\u5efa\u7535\u8def\u65f6\u5c31\u4f1a\u6709\u660e\u786e\u7684\u6307\u9488\uff0c\u5bf9\u4e8e\u6545\u969c\u6392\u67e5\u548c\u63d0\u5347\u5b89\u5168\u6027\u90fd\u6709\u5927\u6709\u88e8\u76ca\u3002\u53ea\u8981\u638c\u63e1\u4e86\u7535\u538b\u3001\u7535\u6d41\u53ca\u7535\u963b\u7684\u5173\u7cfb\uff0c\u4fbf\u53ef\u5e94\u7528\u4e8e\u7194\u65ad\u5668\u548c\u65ad\u8def\u5668\u7684\u9009\u578b\u3001\u7ebf\u8def\u8bbe\u8ba1\u7b49\u573a\u666f\uff0c\u65e0\u8bba\u662f\u7b80\u5355\u7684LED\u7535\u8def\u8fd8\u662f\u5927\u578b\u76f4\u6d41\u914d\u7535\u7cfb\u7edf\u90fd\u9002\u7528\u8be5\u539f\u7406\u3002<\/p>\n<h3 id=\"toc23\">\u6545\u969c\u6392\u67e5\u548c\u5b89\u5168\u5bf9\u7b56<\/h3>\n<p>\u5728\u73b0\u573a\u5904\u7406\u7535\u5b50\u7535\u8def\u65f6\uff0c\u4f1a\u901a\u8fc7\u4e07\u7528\u8868\u5b9e\u6d4b\u503c\u4e0e\u6b27\u59c6\u5b9a\u5f8b\u7406\u8bba\u503c\u7684\u6bd4\u5bf9\uff0c\u6765\u7b80\u6613\u5224\u65ad\u7535\u8def\u8fd0\u884c\u72b6\u6001\u662f\u5426\u7b26\u5408\u9884\u671f\u3002\u4f8b\u5982\uff0c\u82e5\u9884\u671f\u5e94\u4e3a12V\u30012A\u7684\u7535\u6d41\uff0c\u5b9e\u6d4b\u5374\u8fbe\u52303A\uff0c\u5219\u53ef\u80fd\u5b58\u5728\u77ed\u8def\u73b0\u8c61\uff0c\u8868\u660e\u7ebf\u8def\u8fde\u63a5\u53ef\u80fd\u5b58\u5728\u9519\u8bef\u3002\u5982\u679c\u80fd\u53ca\u65e9\u53d1\u73b0\u95ee\u9898\uff0c\u5c31\u53ef\u4ee5\u907f\u514d\u8fc7\u70ed\u6216\u7ebf\u8def\u635f\u574f\u7b49\u91cd\u5927\u6545\u969c\u7684\u53d1\u751f\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u5728\u7535\u6c14\u5b89\u5168\u65b9\u9762\uff0c\u9884\u5148\u4f30\u7b97\u7535\u8def\u6240\u80fd\u627f\u8f7d\u7684\u6700\u5927\u7535\u6d41\u975e\u5e38\u91cd\u8981\u3002\u6839\u636e\u6b27\u59c6\u5b9a\u5f8b\u8ba1\u7b97\u65f6\u4e00\u65e6\u53d1\u73b0\u53ef\u80fd\u6709\u5927\u7535\u6d41\uff0c\u82e5\u4e0d\u9009\u7528\u76f8\u5e94\u89c4\u683c\u7684\u7194\u65ad\u5668\u3001\u65ad\u8def\u5668\u53ca\u7ebf\u5f84\uff0c\u5c31\u6709\u5f15\u53d1\u706b\u707e\u6216\u5bfc\u81f4\u91cd\u5927\u8bbe\u5907\u6545\u969c\u7684\u98ce\u9669\u3002\u56e0\u6b64\uff0c\u9700\u8981\u7ed3\u5408\u5404\u5143\u5668\u4ef6\u7684\u989d\u5b9a\u53c2\u6570\u548c\u6b27\u59c6\u5b9a\u5f8b\u8fdb\u884c\u8bbe\u8ba1\uff0c\u4ee5\u786e\u4fdd\u5b89\u5168\u88d5\u5ea6\u3002<\/p>\n<h3 id=\"toc24\">\u4ece\u5c0f\u578bLED\u7535\u8def\u5230\u5927\u578b\u7535\u529b\u7cfb\u7edf<\/h3>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u5177\u6709\u666e\u904d\u9002\u7528\u6027\uff0c\u65e0\u8bba\u662f\u70b9\u4eae\u5355\u4e2aLED\u7684\u5c0f\u578b\u7535\u8def\uff0c\u8fd8\u662f\u5de5\u4e1a\u7ea7\u89c4\u6a21\u7684\u7535\u529b\u7cfb\u7edf\uff0c\u7686\u53ef\u5e94\u7528\u3002\u5728LED\u7535\u8def\u4e2d\uff0c\u4e3a\u4fdd\u62a4LED\uff0c\u9700\u901a\u8fc7\u516c\u5f0f\\(R_S\\) = (\\(V_S\\) \u2013 \\(V_F\\)) \/ \\(I\\)\u51c6\u786e\u8ba1\u7b97\u4e32\u8054\u7535\u963b\u503c\uff0c\u4ee5\u786e\u4fdd\u901a\u8fc7LED\u7684\u7535\u6d41\u5904\u4e8e\u5b89\u5168\u8303\u56f4\u3002\u5728LED\u7535\u8def\u4e2d\uff0c\u9996\u5148\u8ba1\u7b97\u7535\u963b\u4e24\u7aef\u7684\u7535\u538b\\(V_R\\) = \\(V_S\\) \u2212 \\(V_F\\)\uff0c\u7136\u540e\u6839\u636e\u6b27\u59c6\u5b9a\u5f8b\\(R_S\\) = \\(V_R\\) \/ \\(I\\)\u6765\u786e\u5b9a\u4e32\u8054\u7535\u963b\u503c\u3002\u5b9e\u9645\u4e0a\uff0cLED\u7684\u6b63\u5411\u7535\u538b\\(V_F\\)\u4f1a\u968f\u6e29\u5ea6\u53d8\u5316\u4ea7\u751f\u6570\u5341\u81f3\u6570\u767emV\u7684\u6ce2\u52a8\uff0c\u56e0\u6b64\u5b89\u5168\u8bbe\u8ba1\u7684\u8981\u70b9\u662f\uff1a\u5728\u989d\u5b9a\u7535\u6d41\u57fa\u7840\u4e0a\u9884\u7559\u9002\u5f53\u4f59\u91cf\uff0c\u5e76\u5c06\u8ba1\u7b97\u6240\u5f97\u7684\u7535\u963b\u503c\u5706\u6574\u4e3aE24\u7cfb\u5217\uff08\u00b15%\uff09\u7b49\u5e02\u552e\u503c\u3002<\/p>\n<p><!-- \u753b\u50cf --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2026\/03\/15_capacitor_and_small_light_bulb.png\" alt=\"LED\u70b9\u4eae\u65f6\u7684\u4fdd\u62a4\u7535\u963b\" width=\"700\" height=\"394\" \/><\/p>\n<p>\u5728\u4f30\u7b97\u4f4e\u7535\u538b\u76f4\u6d41\u7ebf\u8def\u7684\u94dc\u635f\uff08\\(I^2\\)\\(R\\)\uff09\u6216\u7535\u538b\u964d\u7684\u573a\u666f\u4e2d\uff0c\u5373\u4f7f\u8003\u8651\u5230\u5efa\u7b51\u7269\u548c\u5de5\u5382\u5e03\u7ebf\u53ca\u53d8\u538b\u5668\u5bb9\u91cf\uff0c\u4e5f\u53ef\u91c7\u7528\u5c06\u7279\u5b9a\u533a\u57df\u5047\u5b9a\u4e3a\u76f4\u6d41\u8d1f\u8f7d\uff0c\u5e76\u8fd0\u7528\u6b27\u59c6\u5b9a\u5f8b\u8fdb\u884c\u529f\u8017\u548c\u7535\u6d41\u91cf\u7b80\u6613\u8ba1\u7b97\u7684\u65b9\u6cd5\u3002\u867d\u7136\u8fd8\u9700\u8003\u8651\u9ad8\u9891\u5143\u4ef6\u3001\u6e29\u5ea6\u53d8\u5316\u53ca\u8d1f\u8f7d\u6ce2\u52a8\u7b49\u989d\u5916\u56e0\u7d20\uff0c\u4f46\u9996\u5148\u4ec5\u901a\u8fc7\u7535\u963b\u6c42\u5f97\u7b80\u660e\u7684\u7406\u8bba\u503c\uff0c\u6b63\u662f\u63a8\u8fdb\u590d\u6742\u8bbe\u8ba1\u7684\u7b2c\u4e00\u6b65\u3002<\/p>\n<h2 id=\"toc25\">\u6b27\u59c6\u5b9a\u5f8b\u603b\u7ed3<\/h2>\n<p>\u6b27\u59c6\u5b9a\u5f8b\u662f\u4e25\u5bc6\u63ed\u793a\u7535\u538b\uff08\\(V\\)\uff09\u3001\u7535\u6d41\uff08\\(I\\)\uff09\u4e0e\u7535\u963b\uff08\\(R\\)\uff09\u4e09\u8005\u5173\u7cfb\u7684\u91cd\u8981\u57fa\u7840\u7406\u8bba\u3002\u5229\u7528\\(V\\) = \\(I\\) \u00d7 \\(R\\)\u8fd9\u4e00\u516c\u5f0f\u53ca\u5176\u884d\u751f\u5f62\u5f0f\uff0c\u53ef\u8ba1\u7b97\u672a\u77e5\u91cf\u3001\u8ffd\u8e2a\u7535\u538b\u964d\u60c5\u51b5\uff0c\u5e76\u8fdb\u884c\u6240\u9700\u7535\u963b\u53ca\u7535\u8def\u5143\u5668\u4ef6\u9009\u578b\u3002<\/p>\n<p>\u867d\u7136\u5b58\u5728\u56e0\u6e29\u5ea6\u53d8\u5316\u6216\u975e\u7ebf\u6027\u5143\u4ef6\u5bfc\u81f4\u65e0\u6cd5\u7b80\u5355\u5957\u7528\u7684\u60c5\u51b5\uff0c\u4f46\u8be5\u7406\u8bba\u4ecd\u4f5c\u4e3a\u4e0d\u53ef\u6216\u7f3a\u7684\u57fa\u7840\u7406\u8bba\uff0c\u5728\u7269\u7406\u5b66\u548c\u65e5\u5e38\u7535\u5b50\u5de5\u7a0b\u9886\u57df\u6301\u7eed\u53d1\u6325\u7740\u91cd\u8981\u4f5c\u7528\u3002\u4ece\u6700\u57fa\u7840\u7684LED\u7535\u8def\u5230\u5927\u578b\u76f4\u6d41\u7535\u673a\u63a7\u5236\uff0c\u4e43\u81f3\u7535\u8def\u5206\u6790\uff0c\u7406\u89e3\u65bd\u52a0\u4e8e\u7535\u963b\u5143\u4ef6\u7684\u7535\u538b\u548c\u7535\u6d41\uff0c\u662f\u6784\u5efa\u5b89\u5168\u9ad8\u6548\u7535\u6c14\u7535\u8def\u65f6\u4e0d\u53ef\u6216\u7f3a\u7684\u73af\u8282\u3002<\/p>\n<section class=\"c-section-download\">\n<h2 class=\"c-ttl-4\" style=\"border-color: #ab1818;\">\u3010\u8d44\u6599\u4e0b\u8f7d\u3011\u6d3b\u7528Si(\u7845)\u529f\u7387\u5668\u4ef6\u7279\u5f81\u7684\u5e94\u7528\u4e8b\u4f8b<\/h2>\n<div class=\"fbox\">\n<p class=\"c-txt-2 c-txt-2--low fl\">\u4e3a\u4e86\u6ee1\u8db3\u8bbe\u5907\u7684\u8282\u80fd\u548c\u6548\u7387\u63d0\u5347\u9700\u6c42\uff0cSi\u529f\u7387\u5143\u5668\u4ef6\u6280\u672f\u4e0d\u65ad\u53d1\u5c55\u8fdb\u6b65\u3002\u672c\u8d44\u6599\u4ecb\u7ecd\u4e86\u4e8c\u6781\u7ba1\u548cMOSFET\u7684\u57fa\u7840\u77e5\u8bc6\u3001\u9009\u578b\u65b9\u6cd5\u3001\u5148\u8fdb\u5143\u5668\u4ef6\u7684\u7279\u6027\u53ca\u5176\u5e94\u7528\u793a\u4f8b\u3002<\/p>\n<div class=\"c-block-download__img fr\"><a class=\" is_link_bottom\" href=\"https:\/\/pages.wfjydl.com\/Tech_download09_CN.html\"><img decoding=\"async\" src=\"https:\/\/techclass.wfjydl.com\/wp-content\/uploads\/2024\/09\/img_down09_02.png\" alt=\"\" \/><\/a><\/div>\n<style>.c-section-download .c-block-download__img {margin-left: 30px;max-width: 260px;}<\/style>\n<\/div>\n<div class=\"c-section-download__btn\"><a class=\"c-btn-1 c-btn-1--large is_link_bottom\" href=\"https:\/\/pages.wfjydl.com\/Tech_download09_CN.html\">\u4e0b\u8f7d<\/a><\/div>\n<\/section>\n<style>\n.fw-bold {\n    font-weight: bold;\n}\nul.unordered-list {\n\tpadding-left: 3em !important;\n}\nul.unordered-list ul {\n\tpadding-left: 1em !important;\n}\nul.unordered-list li {\n\tlist-style-position: outside !important;\n\tpadding-left: 0 !important;\n\ttext-indent: 0 !important;\n}\nul.unordered-list > li {\n\tlist-style-type: disc 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