{
    "name": "Inductive Reactance Calculator",
    "url": "https://calculators.geekmidst.com/calculators/inductive-reactance-calculator",
    "markdown": "https://calculators.geekmidst.com/calculators/inductive-reactance-calculator.md",
    "category": "Science & engineering",
    "description": "Find the reactance of an inductor in ohms at any frequency from its inductance in H, mH or µH and the frequency in Hz, kHz or MHz, with angular frequency.",
    "summary": "An inductor opposes alternating current more as the frequency rises: X_L = 2πfL. At DC (0 Hz) an ideal inductor has no reactance at all.",
    "also_called": [
        "Inductor reactance calculator",
        "X_L calculator"
    ],
    "applies_to": "Worldwide",
    "last_updated": "2026-10-29",
    "computation": "Results are computed in the visitor’s browser on the HTML page. This API describes the calculator; it does not compute results.",
    "inputs": [
        {
            "name": "inductance",
            "label": "Inductance",
            "type": "number",
            "default": "10"
        },
        {
            "name": "l_unit",
            "label": "Inductance unit",
            "type": "segmented",
            "default": "mh",
            "options": {
                "h": "H",
                "mh": "mH",
                "uh": "µH"
            }
        },
        {
            "name": "frequency",
            "label": "Frequency",
            "type": "number",
            "default": "50"
        },
        {
            "name": "f_unit",
            "label": "Frequency unit",
            "type": "segmented",
            "default": "hz",
            "options": {
                "hz": "Hz",
                "khz": "kHz",
                "mhz": "MHz"
            }
        }
    ],
    "outputs": [
        {
            "key": "reactance_ohm",
            "label": "Inductive reactance",
            "format": "number"
        },
        {
            "key": "reactance_text",
            "label": "Reactance (with prefix)",
            "format": "text"
        },
        {
            "key": "omega",
            "label": "Angular frequency (ω)",
            "format": "number"
        }
    ],
    "formula": {
        "text": "X_L = 2π × f × L = ω × L",
        "variables": {
            "f": "frequency in Hz",
            "L": "inductance in henries",
            "ω": "angular frequency 2πf in rad/s"
        }
    },
    "worked_example": {
        "inputs": {
            "inductance": "10",
            "l_unit": "mh",
            "frequency": "50",
            "f_unit": "hz"
        },
        "steps": [
            "ω = 2π × 50 = 314.159 rad/s.",
            "X_L = 314.159 × 0.010 H = 3.1416 Ω."
        ],
        "result": "A 10 mH inductor has a reactance of about 3.14 Ω at 50 Hz, rising to 3.77 Ω at 60 Hz."
    },
    "interpretation": "Reactance does not dissipate power; it shifts current 90° behind voltage. Combine it with resistance and any capacitance in the AC Impedance Calculator.",
    "assumptions": [
        "Ideal inductor with constant inductance and no winding resistance."
    ],
    "limitations": [
        "At high frequency, self-capacitance makes real inductors resonate and stop behaving inductively.",
        "Iron-cored inductors change value with current."
    ],
    "rules": null,
    "faqs": [
        {
            "question": "How is reactance different from resistance?",
            "answer": "Both are measured in ohms, but reactance stores and returns energy each cycle instead of turning it into heat."
        },
        {
            "question": "What about capacitors?",
            "answer": "Capacitive reactance falls with frequency: X_C = 1 ÷ (2πfC). The AC Impedance Calculator includes both."
        }
    ],
    "sources": [],
    "related": [
        {
            "name": "AC Impedance Calculator",
            "url": "https://calculators.geekmidst.com/calculators/ac-impedance-calculator"
        },
        {
            "name": "Ohm’s Law Calculator",
            "url": "https://calculators.geekmidst.com/calculators/ohms-law-calculator"
        },
        {
            "name": "Capacitor Energy Calculator",
            "url": "https://calculators.geekmidst.com/calculators/capacitor-energy-calculator"
        }
    ],
    "disclaimer": null,
    "publisher": "GM¹X CalcVerse"
}