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MasterMath

Ohm's Law Calculator

Voltage, current and resistance in one relationship. Solve for whichever of the three you do not know.

Result

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How this was worked out

    The formula

    V = I · R

    SymbolQuantityUnit
    VVoltageV
    ICurrentA
    RResistanceΩ

    What it means

    Ohm's law says the current through a conductor is proportional to the voltage across it and inversely proportional to its resistance. It is the single most-used relationship in electronics, and it holds for ordinary conductors under ordinary conditions.

    How to work it out by hand

    1. Voltage is current times resistance
    2. Current is voltage divided by resistance
    3. Resistance is voltage divided by current

    What is worth knowing

    Ohm's law is a good description of most materials, not a universal law: diodes, transistors and filament bulbs are all non-ohmic, meaning their resistance changes with the conditions. A filament's resistance rises sharply as it heats, which is why bulbs so often fail at the moment you switch them on — the cold filament briefly draws a large current. The other thing worth internalising is that what harms people is current, not voltage: it takes only around 30 mA through the body to be dangerous, and whether that flows depends on the resistance of the path.

    Frequently asked questions

    Does Ohm's law always hold?

    No. It describes ordinary conductors well, but diodes, transistors and hot filaments are all non-ohmic.

    Is voltage or current more dangerous?

    Current is what does the damage — around 30 mA through the body is dangerous. Voltage matters because it drives the current.

    Why do bulbs blow when switched on?

    A cold filament has low resistance, so it briefly draws a large current before heating up and settling.

    What is one ohm?

    The resistance that lets one ampere flow under one volt.