RC 低通滤波器

slex: "0.1",
  namespace: "example_rc_low_pass_filter",
  g: {
    r: 10000,
    c: 100,
    f: 1000,
    cutoff: function () { return 1 / (2 * Math.PI * this.r * this.c * 1e-9); },
    gain: function () { return 1 / Math.sqrt(1 + Math.pow(this.f / this.cutoff(), 2)); },
    gainDb: function () { return (20 * Math.log10(this.gain())).toFixed(1); },
    regimeLabel: function () { return this.f < this.cutoff() * 0.1 ? "通带" : this.f > this.cutoff() * 10 ? "阻带" : "过渡带"; }
  },
  layout: {
    "section:params": {
      eyebrow: "计算器",
      title: "RC 低通滤波器",
      subtitle: "一个电阻加一个电容，把高频噪声滤掉。",
      "card:params": {
        title: "参数输入",
      "grid:inputs": {
        columns: 1, mdColumns: 2,
        "column:rField": { "input:r": { label: "电阻 R", "$value": "g.r", type: "number", unit: "Ω", onchange: "g.r = Number($event || 0)" }, "slider:r": { label: "R", "$value": "g.r", min: 100, max: 100000, step: 100, unit: "Ω", onchange: "g.r = Number($event)" } },
        "column:cField": { "input:c": { label: "电容 C", "$value": "g.c", type: "number", unit: "nF", onchange: "g.c = Number($event || 0)" }, "slider:c": { label: "C", "$value": "g.c", min: 1, max: 1000, step: 1, unit: "nF", onchange: "g.c = Number($event)" } },
        "column:fField": { "input:f": { label: "输入频率 f", "$value": "g.f", type: "number", unit: "Hz", onchange: "g.f = Number($event || 0)" }, "slider:f": { label: "f", "$value": "g.f", min: 1, max: 100000, step: 1, unit: "Hz", onchange: "g.f = Number($event)" } }
      },
      "stat:fc": { label: "截止频率", "$value": "g.cutoff().toFixed(1)", unit: "Hz" },
      "badge:regime": { "$label": "g.regimeLabel()", "$tone": "g.f < g.cutoff() * 0.1 ? 'success' : g.f > g.cutoff() * 10 ? 'danger' : 'warning'" }
      }
    }
  }
}

slex: "0.1",
  namespace: "example_rc_low_pass_filter",
  layout: {
    "card:results": {
      title: "计算结果",
      "formula:fc_eq": { "$tex": "'f_c = \\\\frac{1}{2\\\\pi \\\\times ' + (g.r/1000).toFixed(1) + 'k\\\\Omega \\\\times ' + g.c + '\\\\text{nF}} = ' + g.cutoff().toFixed(1) + '\\\\text{ Hz}'" },
      "stat:gain_val": { label: "幅值增益 |H(f)|", "$value": "g.gain().toFixed(4)" },
      "stat:gain_db": { label: "增益", "$value": "g.gainDb()", unit: "dB" },
      "callout:verdict": { "$tone": "g.f < g.cutoff() * 0.1 ? 'success' : g.f > g.cutoff() * 10 ? 'danger' : 'warning'", "$text": "g.f < g.cutoff() * 0.1 ? '信号完整通过，衰减 < 0.04 dB。' : g.f > g.cutoff() * 10 ? '信号被强烈衰减超过 20 dB，滤波器有效工作。' : '信号处于过渡带，衰减约 ' + (-20 * Math.log10(1 / Math.sqrt(1 + Math.pow(g.f / g.cutoff(), 2)))).toFixed(1) + ' dB。'" }
    }
  }
}

slex: "0.1",
  namespace: "example_rc_low_pass_filter",
  layout: {
    "card:selection": {
      title: "选型建议",
      "table:guide": {
        columns: ["R", "C", "fc", "典型用途"],
        rows: [
          ["1 kΩ", "100 nF", "1592 Hz", "音频低通"],
          ["10 kΩ", "100 nF", "159 Hz", "ADC 抗混叠"],
          ["100 kΩ", "10 nF", "159 Hz", "PWM 平滑"],
          ["1 kΩ", "1 µF", "159 Hz", "电源纹波滤波"],
          ["10 kΩ", "1 nF", "15915 Hz", "高频噪声抑制"]
        ]
      },
      "callout:tip": { "$tone": "g.cutoff() < 100 ? 'info' : g.cutoff() > 10000 ? 'warning' : 'success'", "$text": "g.cutoff() < 100 ? '低截止频率适合电源滤波和慢信号。' : g.cutoff() > 10000 ? '高截止频率可能无法有效滤除高频噪声。' : '当前截止频率适合大多数应用场景。'" }
    }
  }
}