{
  "id": "series-parallel-capacitor",
  "slug": "series-parallel-capacitor-calculator",
  "url": "https://electronics.tools/tools/series-parallel-capacitor-calculator/",
  "name": "Series and Parallel Capacitor Calculator",
  "group": "cap-ind",
  "summary": "Cp = Σ Ci. 10 µF + 22 µF + 4.7 µF in parallel is 36.7 µF.",
  "formulas": [
    {
      "id": "parallel",
      "label": "Parallel",
      "plain": "Cp = Σ Ci",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"Cp = Σ Ci\"><mrow><msub><mi>C</mi><mi>p</mi></msub><mo>=</mo><mo>Σ</mo><msub><mi>C</mi><mi>i</mi></msub></mrow></math>",
      "symbols": [
        "Cp",
        "Ci"
      ],
      "sources": [
        "network"
      ]
    },
    {
      "id": "series",
      "label": "Series",
      "plain": "1/Cs = Σ 1/Ci",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"1/Cs = Σ 1/Ci\"><mrow><mfrac><mn>1</mn><msub><mi>C</mi><mi>s</mi></msub></mfrac><mo>=</mo><mo>Σ</mo><mfrac><mn>1</mn><msub><mi>C</mi><mi>i</mi></msub></mfrac></mrow></math>",
      "symbols": [
        "Cs",
        "Ci"
      ],
      "sources": [
        "network"
      ]
    },
    {
      "id": "share",
      "label": "Voltage sharing",
      "plain": "Series strings do not share DC voltage by 1/C",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"Series strings do not share DC voltage by 1/C\"><mrow><msub><mi>V</mi><mi>i</mi></msub><mo>≠</mo><mi>V</mi><mfrac><mrow><mn>1</mn><mo>/</mo><msub><mi>C</mi><mi>i</mi></msub></mrow><mrow><mo>Σ</mo><mn>1</mn><mo>/</mo><msub><mi>C</mi><mi>j</mi></msub></mrow></mfrac></mrow></math>",
      "symbols": [
        "Ci"
      ],
      "sources": [
        "network"
      ]
    }
  ],
  "variables": [
    {
      "symbol": "mode",
      "name": "Network",
      "unit": "1",
      "role": "input",
      "precision": {
        "sig": 1
      },
      "default": "parallel",
      "urlParam": "mode"
    },
    {
      "symbol": "Ci",
      "name": "Capacitor list",
      "unit": "F",
      "role": "input",
      "precision": {
        "sig": 4
      },
      "range": {
        "min": 0
      },
      "default": "10u, 22u, 4.7u",
      "urlParam": "c"
    },
    {
      "symbol": "Cp",
      "name": "Parallel equivalent",
      "unit": "F",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Cs",
      "name": "Series equivalent",
      "unit": "F",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "N",
      "name": "Count",
      "unit": "1",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Ceq_uF",
      "name": "Equivalent in µF",
      "unit": "µF",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Ceq_nF",
      "name": "Equivalent in nF",
      "unit": "nF",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Ceq_pF",
      "name": "Equivalent in pF",
      "unit": "pF",
      "role": "output",
      "precision": {
        "sig": 4
      }
    }
  ],
  "examples": [
    {
      "id": "par-10-22-4.7",
      "title": "Parallel 10 + 22 + 4.7 µF",
      "input": [
        {
          "symbol": "mode",
          "value": "parallel",
          "unit": "1",
          "display": "parallel"
        },
        {
          "symbol": "Ci",
          "value": "0.00001, 0.000022, 0.0000047",
          "unit": "F",
          "display": "0.00001, 0.000022, 0.0000047"
        }
      ],
      "output": [
        {
          "symbol": "Cp",
          "value": 0.0000367,
          "unit": "F",
          "display": "36.7 µF"
        },
        {
          "symbol": "N",
          "value": 3,
          "unit": "1",
          "display": "3"
        },
        {
          "symbol": "Ceq_uF",
          "value": 36.699999999999996,
          "unit": "µF",
          "display": "36.7 µF"
        }
      ],
      "computedBy": "seriesParallelCapacitor"
    },
    {
      "id": "ser-10-22",
      "title": "Series 10 µF + 22 µF",
      "input": [
        {
          "symbol": "mode",
          "value": "series",
          "unit": "1",
          "display": "series"
        },
        {
          "symbol": "Ci",
          "value": "0.00001, 0.000022",
          "unit": "F",
          "display": "0.00001, 0.000022"
        }
      ],
      "output": [
        {
          "symbol": "Cs",
          "value": 0.000006875,
          "unit": "F",
          "display": "6.875 µF"
        },
        {
          "symbol": "Ceq_uF",
          "value": 6.875,
          "unit": "µF",
          "display": "6.875 µF"
        }
      ],
      "computedBy": "seriesParallelCapacitor"
    }
  ],
  "sources": [
    {
      "title": "Series and parallel circuits (Wikipedia, textbook identity)",
      "url": "https://en.wikipedia.org/wiki/Series_and_parallel_circuits",
      "retrieved": "2026-11-02"
    }
  ],
  "datePublished": "2026-11-02T00:00:00+08:00",
  "dateModified": "2026-11-02T00:00:00+08:00",
  "author": {
    "name": "Jasper",
    "url": "https://electronics.tools/about/#jasper"
  },
  "relatedTools": [
    "https://electronics.tools/tools/capacitor-energy-calculator/",
    "https://electronics.tools/tools/rc-time-constant-calculator/",
    "https://electronics.tools/tools/reactance-calculator/"
  ]
}