{
  "id": "current-divider",
  "slug": "current-divider-calculator",
  "url": "https://electronics.tools/tools/current-divider-calculator/",
  "name": "Current Divider Calculator",
  "group": "resistors",
  "summary": "Ik = I · (1/Rk) / Σ(1/Ri). 1 A into 100 Ω ∥ 200 Ω is 666.7 mA and 333.3 mA.",
  "formulas": [
    {
      "id": "ik",
      "label": "Branch current",
      "plain": "Ik = I · (1/Rk) / Σ(1/Ri)",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"Ik = I · (1/Rk) / Σ(1/Ri)\"><mrow><msub><mi>I</mi><mi>k</mi></msub><mo>=</mo><mi>I</mi><mfrac><mrow><mn>1</mn><mo>/</mo><msub><mi>R</mi><mi>k</mi></msub></mrow><mrow><mo>Σ</mo><mn>1</mn><mo>/</mo><msub><mi>R</mi><mi>i</mi></msub></mrow></mfrac></mrow></math>",
      "symbols": [
        "Ik",
        "I",
        "Rk",
        "Ri"
      ],
      "sources": [
        "kcl"
      ]
    },
    {
      "id": "req",
      "label": "Parallel equivalent",
      "plain": "Req = 1 / Σ(1/Ri)",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"Req = 1 / Σ(1/Ri)\"><mrow><msub><mi>R</mi><mtext>eq</mtext></msub><mo>=</mo><mfrac><mn>1</mn><mrow><mo>Σ</mo><mn>1</mn><mo>/</mo><msub><mi>R</mi><mi>i</mi></msub></mrow></mfrac></mrow></math>",
      "symbols": [
        "Req",
        "Ri"
      ],
      "sources": [
        "kcl"
      ]
    },
    {
      "id": "short",
      "label": "Shorted branch",
      "plain": "R = 0 is a short and is an error",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"R = 0 is a short and is an error\"><mrow><msub><mi>R</mi><mi>k</mi></msub><mo>≠</mo><mn>0</mn></mrow></math>",
      "symbols": [
        "Rk"
      ],
      "sources": [
        "kcl"
      ]
    }
  ],
  "variables": [
    {
      "symbol": "I",
      "name": "Total current",
      "unit": "A",
      "role": "input",
      "precision": {
        "sig": 4
      },
      "default": 1,
      "urlParam": "i"
    },
    {
      "symbol": "Rk",
      "name": "Branch resistors",
      "unit": "Ω",
      "role": "input",
      "precision": {
        "sig": 4
      },
      "range": {
        "min": 0,
        "note": "R = 0 is rejected"
      },
      "default": "100, 200",
      "urlParam": "r"
    },
    {
      "symbol": "Ri",
      "name": "Branch i resistance",
      "unit": "Ω",
      "role": "constant",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Req",
      "name": "Parallel equivalent",
      "unit": "Ω",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "N",
      "name": "Branches",
      "unit": "1",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Isum",
      "name": "Sum of branch currents",
      "unit": "A",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "Ik",
      "name": "Branch k current",
      "unit": "A",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "I1",
      "name": "Branch 1 current",
      "unit": "A",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "I2",
      "name": "Branch 2 current",
      "unit": "A",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "I3",
      "name": "Branch 3 current",
      "unit": "A",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "P1",
      "name": "Branch 1 power",
      "unit": "W",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "P2",
      "name": "Branch 2 power",
      "unit": "W",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "P3",
      "name": "Branch 3 power",
      "unit": "W",
      "role": "output",
      "precision": {
        "sig": 4
      }
    }
  ],
  "examples": [
    {
      "id": "1a-100-200",
      "title": "1 A into 100 Ω ∥ 200 Ω",
      "input": [
        {
          "symbol": "I",
          "value": 1,
          "unit": "A",
          "display": "1 A"
        },
        {
          "symbol": "Rk",
          "value": "100, 200",
          "unit": "Ω",
          "display": "100, 200"
        }
      ],
      "output": [
        {
          "symbol": "I1",
          "value": 0.6666666666666667,
          "unit": "A",
          "display": "666.7 mA"
        },
        {
          "symbol": "I2",
          "value": 0.33333333333333337,
          "unit": "A",
          "display": "333.3 mA"
        },
        {
          "symbol": "Req",
          "value": 66.66666666666667,
          "unit": "Ω",
          "display": "66.67 Ω"
        },
        {
          "symbol": "P1",
          "value": 44.44444444444445,
          "unit": "W",
          "display": "44.44 W"
        },
        {
          "symbol": "P2",
          "value": 22.222222222222225,
          "unit": "W",
          "display": "22.22 W"
        }
      ],
      "computedBy": "currentDivider"
    },
    {
      "id": "100m-3r",
      "title": "100 mA into 1 k / 2.2 k / 4.7 k",
      "input": [
        {
          "symbol": "I",
          "value": 0.1,
          "unit": "A",
          "display": "100 mA"
        },
        {
          "symbol": "Rk",
          "value": "1000, 2200, 4700",
          "unit": "Ω",
          "display": "1000, 2200, 4700"
        }
      ],
      "output": [
        {
          "symbol": "I1",
          "value": 0.05997679814385152,
          "unit": "A",
          "display": "59.98 mA"
        },
        {
          "symbol": "I2",
          "value": 0.027262180974477964,
          "unit": "A",
          "display": "27.26 mA"
        },
        {
          "symbol": "I3",
          "value": 0.012761020881670535,
          "unit": "A",
          "display": "12.76 mA"
        },
        {
          "symbol": "Req",
          "value": 599.7679814385151,
          "unit": "Ω",
          "display": "599.8 Ω"
        }
      ],
      "computedBy": "currentDivider"
    }
  ],
  "sources": [
    {
      "title": "Current divider (Wikipedia, textbook identity from KCL)",
      "url": "https://en.wikipedia.org/wiki/Current_divider",
      "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/parallel-resistor-calculator/",
    "https://electronics.tools/tools/voltage-divider-calculator/",
    "https://electronics.tools/tools/ohms-law-calculator/"
  ]
}