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Watt-seconds to Milliwatt-hours conversion

Watt-seconds to Milliwatt-hours conversion table

Watt-seconds (Ws)Milliwatt-hours (mWh)
00
10.2777777777778
20.5555555555556
30.8333333333333
41.1111111111111
51.3888888888889
61.6666666666667
71.9444444444444
82.2222222222222
92.5
102.7777777777778
205.5555555555556
308.3333333333333
4011.111111111111
5013.888888888889
6016.666666666667
7019.444444444444
8022.222222222222
9025
10027.777777777778
1000277.77777777778

How to convert watt-seconds to milliwatt-hours?

Certainly! Here’s how you can convert Watt-seconds to Milliwatt-hours:

  1. Understanding Units:

    • 1 Watt-second (W·s) is equivalent to 1 Joule (J) since 1 Watt = 1 Joule/second.
    • To convert Joules to Milliwatt-hours (mWh), you first convert Joules to Watt-hours (Wh).

  2. Conversion Factors:

    • 1 Watt-hour = 3600 Watt-seconds (since 1 hour = 3600 seconds).
    • Therefore, 1 Joule = 1 Watt-second.
    • To convert Joules to Watt-hours: 1 J = 1 W·s * (1 Wh / 3600 W·s) = 1/3600 Wh.

    Since there are 1000 milliwatts in a watt, you multiply by 1000 to convert Watt-hours to Milliwatt-hours.

  3. Conversion Calculation:

    • 1 Watt-second (W·s) = 1/3600 Wh = 13600\frac{1}{3600} Wh.
    • To get this value in Milliwatt-hours: 13600\frac{1}{3600} Wh * 1000 mWh/Wh = 10003600\frac{1000}{3600} mWh = 518\frac{5}{18} mWh ≈ 0.2778 mWh.

Real-World Examples for Other Quantities in Watt-seconds:

  1. 100 Watt-seconds:

    • 100 W·s * (1 Wh / 3600 W·s) = 100 / 3600 Wh = 1/36 Wh.
    • Converting to mWh: (100 / 3600 Wh) * 1000 mWh/Wh = 1000003600\frac{100000}{3600} mWh ≈ 27.78 mWh.

  2. 1,000 Watt-seconds (1 kW·s):

    • 1000 W·s * (1 Wh / 3600 W·s) = 1000 / 3600 Wh ≈ 0.27778 Wh.
    • Converting to mWh: (1000 / 3600 Wh) * 1000 mWh/Wh = 277.78 mWh.

  3. 10,000 Watt-seconds (10 kW·s):

    • 10,000 W·s * (1 Wh / 3600 W·s) = 10,000 / 3600 Wh ≈ 2.7778 Wh.
    • Converting to mWh: (10,000 / 3600 Wh) * 1000 mWh/Wh = 2777.8 mWh.

Real-World Application Examples:

  • 1 Watt-second:

    • A LED light bulb drawing 1 watt of power will consume 1 Watt-second of energy in 1 second.

  • 100 Watt-seconds:

    • A small computer fan running at 10 watts will consume 100 Watt-seconds in 10 seconds.

  • 1,000 Watt-seconds:

    • A hair dryer at 1000 watts (1kW) will consume 1000 Watt-seconds in 1 second.

  • 10,000 Watt-seconds:

    • A high-powered microwave oven running at 1kW will consume 10,000 Watt-seconds in 10 seconds.

Understanding these conversions can help you better grasp the concept of energy consumption in various devices and their equivalence in different units.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Milliwatt-hours to other unit conversions.

What is watt-seconds?

Watt-seconds, also known as joules (J), is a unit of energy. It represents the amount of energy expended or work done when 1 watt (a unit of power) is applied for 1 second.

In essence, it measures how much "oomph" or "energy punch" is delivered in that one-second period. Think of it as a way to quantify the total energy transferred by a source (like a light bulb) over a short duration.

What is milliwatt-hours?

A Milliwatt-hour is a unit of energy and its units, kWh, are formed with W for watt and h for hour from SI unit system combined with letter m, metric prefix, for 0.001 or 10−310^{-3}. Its definition, in the context of electricity, is the energy of one watt power flowing for one hour.

Followings equivalent equations are identical but in different units. Please note that factor 10−310^{-3} is representing Milli prefix in mWh unit.

1mWh=10−3∗Pt=10−3∗IVt=3600∗10−3∗J=2.247∗1022∗10−3eV=8.598∗105∗10−3cal1 mWh = 10^{-3}*Pt = 10^{-3}*IVt = 3600 * 10^{-3}*J = 2.247 * 10^{22} * 10^{-3} eV = 8.598*10^5 * 10^{-3} cal

P−PowerP - Power
t−Time (in hours. Multiply by 3600 to convert to seconds)t - Time \text{ (in hours. Multiply by 3600 to convert to seconds)}
I−CurrentI - Current V−VoltsV - Volts
J−JoulesJ - Joules
eV−ElectronvolteV - Electronvolt
cal−Caloriescal - Calories

Wikipedia page for Kilowatt-hour (watt-hour redirected to kWh) UCI article on Energy Units and Conversions Ian Woofenden's explanation on difference between Watts and Watt-Hours

Complete Watt-seconds conversion table

Enter # of Watt-seconds
Convert 1 Ws to other unitsResult
Watt-seconds to Watt-minutes (Ws to Wm)0.01666666666667
Watt-seconds to Watt-hours (Ws to Wh)0.0002777777777778
Watt-seconds to Milliwatt-hours (Ws to mWh)0.2777777777778
Watt-seconds to Kilowatt-hours (Ws to kWh)2.7777777777778e-7
Watt-seconds to Megawatt-hours (Ws to MWh)2.7777777777778e-10
Watt-seconds to Gigawatt-hours (Ws to GWh)2.7777777777778e-13
Watt-seconds to Joules (Ws to J)1
Watt-seconds to Kilojoules (Ws to kJ)0.001
Watt-seconds to Megajoules (Ws to MJ)0.000001
Watt-seconds to Gigajoules (Ws to GJ)1e-9
Watt-seconds to calories (Ws to cal)0.2390057361377
Watt-seconds to Kilocalories (Ws to kcal)0.0002390057361377

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