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Physics calculator

Relative Humidity Calculator

Estimate RH from dry-bulb and dew-point temperatures using the same Magnus saturation-vapor-pressure approximation.

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How to use the relative humidity calculator

  1. Prepare the values for this calculation

    Estimate RH from dry-bulb and dew-point temperatures using the same Magnus saturation-vapor-pressure approximation. Use the formula below to check that it answers your question. Read the input units before transferring figures from a statement, measurement or dataset.

  2. Enter and check each input

    • Air temperature (°C): enter a value at least -80 and no more than 60. Use the unit named in the label or selected above. Do not leave this required field blank.
    • Dew point (°C): enter a value at least -100 and no more than 60. Use the unit named in the label or selected above. Do not leave this required field blank.

    The input table gives a complete example. Keep units and time periods consistent across related fields.

  3. Calculate and resolve any input error

    Choose Calculate after entering the values. Changes also update the answer after a short pause. If an error appears, follow its message, correct the field and calculate again. Reset restores the example values.

  4. Interpret the answer

    Check Relative humidity first. With the unchanged example inputs, it is 53.830642%. Interpret it using the formula and assumptions on this page.

  5. Compare and keep a useful result

    For a controlled comparison, keep every other example input unchanged and change Air temperature (°C) from 25 to 27.5. The resulting Relative humidity is 46.440172%. This illustrates the equation’s response to that input, rather than a forecast of real events.

    Read the chart’s axis labels and data table. A scenario curve changes one stated input while holding the others fixed; it does not add external observations. Use Download graph to save an available chart as a PNG.

    Use Copy result or Download CSV to keep the answer. Share tool shares the page address without placing your input values in the URL. Recheck inputs and assumptions before using the result for a decision.

Relative Humidity Calculator formula

RH=100 es(Td)/es(T).

Inputs and units

Inputs and example values for Relative Humidity Calculator
InputFormat / rangeExample
Air temperature (°C)minimum -80; maximum 6025
Dew point (°C)minimum -100; maximum 6015

Worked example

Using the example inputs above, the relative humidity is 53.830642%.

Relative humidity
53.830642%

Results and assumptions

Magnus-form saturation-vapor-pressure approximation.

Fix an input or unexpected result

Air temperature (°C) is required. Enter air temperature (°c) using the format and bounds in the input table. Zero and an empty field are different: use zero only if it is allowed and represents your data.

If your answer differs from the example, choose Reset and compare every field, including selected units and options. Check percentage versus decimal entry and whether values describe the same period. Round only the final displayed answer when reproducing the formula.

If a discrepancy remains, report the calculator issue with the page address, non-sensitive example inputs, actual result, expected result and a reference for your calculation.