Resistor power dissipation calculator

A resistor run at its rated power gets very hot. Specifying twice what you need is normal practice.

ohm
mA
V
%

100% means specify twice the calculated power.

Power from the current
0.423W
= Exact Resistor power rating
Power from the voltage
0.423
Rating to specify
0.846
Voltage across the resistor
14.1000 V
Current implied by the voltage
30.000 mA
Show the working
  1. Resistance = 470
  2. Current = 30
  3. Or voltage across it = 14.1
  4. Design margin = 100
  5. i_a = 30 / 1000 = 0.03
  6. Power from the current = 0.03^2 * 470 = 0.423
  7. Power from the voltage = 14.1^2 / 470 = 0.423
  8. Rating to specify = 0.423 * (1 + 100/100) = 0.846
  9. Voltage across the resistor = 0.03 * 470 = 14.1
  10. Current implied by the voltage = 14.1 / 470 * 1000 = 30

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

Scenarios & local history

Compare a saved scenario

Recent calculations

    The formula

    • P = I^2 R = V^2 / R

    Standard ratings are 1/8, 1/4, 1/2, 1, 2 and 5 watts. Round up to the next one above the rating shown.

    Related calculators

    Settings

    Theme

    System follows your operating system and changes with it.

    Text size
    High contrast

    Maximises text and border contrast and removes the grid background.

    Graph-paper background

    Round to
    Notation
    Thousands separators
    Decimal mark
    Nearest fraction

    Shows the result as the nearest tape-measure fraction, with the error it costs.


    Accessibility & interaction
    Reduce motion Stops interface animations even when the operating system does not.
    Underline links Keeps links visually distinct without relying on colour.
    Larger touch targets Makes buttons and form controls easier to tap.
    Shorter reading lines Limits article width for easier scanning.
    Monochrome display Removes colour as an information cue.
    Always-visible focus Makes the keyboard focus ring persistent and stronger.
    Verbose screen-reader results Announces the complete conversion equation.
    Sticky action bars Keeps converter and calculator actions within reach.
    Select values on focus Replaces a value immediately when you start typing.
    Left-handed mobile layout Moves key mobile actions toward the left thumb.

    Your data

    Settings, recent conversions and favourites live in this browser only. Nothing is sent anywhere.

    Offline library