How to use this Watts to Decibel-milliwatts Converter 🤔
Follow these steps to convert given power from the units of Watts to the units of Decibel-milliwatts.
Enter the input Watts value in the text field.
The calculator converts the given Watts into Decibel-milliwatts in realtime ⌚ using the conversion formula, and displays under the Decibel-milliwatts label. You do not need to click any button. If the input changes, Decibel-milliwatts value is re-calculated, just like that.
You may copy the resulting Decibel-milliwatts value using the Copy button.
You can also reset the input by clicking on Reset button present below the input field.
Formula
The formula to convert given power from Watts to Decibel-milliwatts is:
The following table gives some of the most used conversions from Watts to Decibel-milliwatts.
Watts (W)
Decibel-milliwatts (dBm)
0.01 W
10 dBm
0.1 W
20 dBm
1 W
30 dBm
2 W
33.0103dBm
3 W
34.7712dBm
4 W
36.0206dBm
5 W
36.9897dBm
6 W
37.7815dBm
7 W
38.451dBm
8 W
39.0309dBm
9 W
39.5424dBm
10 W
40 dBm
20 W
43.0103dBm
50 W
46.9897dBm
100 W
50 dBm
1000 W
60 dBm
Watts
The watt (W) is the SI unit of power, defined as one joule per second. It is used to measure the rate of energy transfer and is commonly used in a wide range of applications, including electricity, mechanics, and heating.
Decibel-milliwatts
A decibel milliwatt (dBm) is a unit of power level used in radio, microwave, and fiber-optic communication networks. It is a logarithmic unit that expresses power relative to one milliwatt.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Watts to Decibel-milliwatts in Power?
The formula to convert Watts to Decibel-milliwatts in Power is:
10*Math.log(Watts*1000)*Math.LOG10E
2. Is this tool free or paid?
This Power conversion tool, which converts Watts to Decibel-milliwatts, is completely free to use.
3. How do I convert Power from Watts to Decibel-milliwatts?
To convert Power from Watts to Decibel-milliwatts, you can use the following formula:
10*Math.log(Watts*1000)*Math.LOG10E
For example, if you have a value in Watts, you substitute that value in place of Watts in the above formula, and solve the mathematical expression to get the equivalent value in Decibel-milliwatts.
{
"conversion": "watt-decibel_milliwatt",
"x_slug": "watt",
"y_slug": "decibel_milliwatt",
"x": "W",
"y": "dBm",
"x_desc": "Watts",
"y_desc": "Decibel-milliwatts",
"category": "Power",
"symbol": "m",
"formula": "10*Math.log(x*1000)*Math.LOG10E",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a smartphone charger delivers 15 watts (W) of power.<br>Convert this power output from watts to Decibel-milliwatts.</h3></div>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <p class=\"step\">Power in Watts = 15 W</p>\n <p>Converting Power from Watts to Decibel-milliwatts...</p>\n <p>The formula to convert from Watts to Decibel-milliwatts is:</p>\n <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 × Math.log(<span>Power<sub>(Watts)</sub></span> × 1000) × Math.LOG10E</p>\n <p>Substitute given <strong>Power<sub>(Watts)</sub> = 15</strong> in the above formula.</p>\n <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 × Math.log(<span>15</span> × 1000) × Math.LOG10E</p>\n <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 41.7609</p>\n <p class=\"answer\">Therefore, <strong>15 W</strong> is equal to <strong>41.7609 dBm</strong>.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that a laptop uses 65 watts (W) of power while charging.<br>Convert this power usage from watts to Decibel-milliwatts.</h3></div>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <p class=\"step\">Power in Watts = 65 W</p>\n <p>Converting Power from Watts to Decibel-milliwatts...</p>\n <p>The formula to convert from Watts to Decibel-milliwatts is:</p>\n <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 × Math.log(<span>Power<sub>(Watts)</sub></span> × 1000) × Math.LOG10E</p>\n <p>Substitute given <strong>Power<sub>(Watts)</sub> = 65</strong> in the above formula.</p>\n <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 × Math.log(<span>65</span> × 1000) × Math.LOG10E</p>\n <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 48.1291</p>\n <p class=\"answer\">Therefore, <strong>65 W</strong> is equal to <strong>48.1291 dBm</strong>.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Watts</span> to <span class=\"y\">Decibel-milliwatts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Watts to Decibel-milliwatts.</p><table><thead><tr><th>Watts (<span class=\"unit\">W</span>)</th><th>Decibel-milliwatts (<span class=\"unit\">dBm</span>)</th><tr></thead><tbody><tr><td>0.01 <span class=\"unit\">W</span></td><td>10 <span class=\"unit\">dBm</span></td></tr><tr><td>0.1 <span class=\"unit\">W</span></td><td>20 <span class=\"unit\">dBm</span></td></tr><tr><td>1 <span class=\"unit\">W</span></td><td>30 <span class=\"unit\">dBm</span></td></tr><tr><td>2 <span class=\"unit\">W</span></td><td>33<span>.0103</span> <span class=\"unit\">dBm</span></td></tr><tr><td>3 <span class=\"unit\">W</span></td><td>34<span>.7712</span> <span class=\"unit\">dBm</span></td></tr><tr><td>4 <span class=\"unit\">W</span></td><td>36<span>.0206</span> <span class=\"unit\">dBm</span></td></tr><tr><td>5 <span class=\"unit\">W</span></td><td>36<span>.9897</span> <span class=\"unit\">dBm</span></td></tr><tr><td>6 <span class=\"unit\">W</span></td><td>37<span>.7815</span> <span class=\"unit\">dBm</span></td></tr><tr><td>7 <span class=\"unit\">W</span></td><td>38<span>.451</span> <span class=\"unit\">dBm</span></td></tr><tr><td>8 <span class=\"unit\">W</span></td><td>39<span>.0309</span> <span class=\"unit\">dBm</span></td></tr><tr><td>9 <span class=\"unit\">W</span></td><td>39<span>.5424</span> <span class=\"unit\">dBm</span></td></tr><tr><td>10 <span class=\"unit\">W</span></td><td>40 <span class=\"unit\">dBm</span></td></tr><tr><td>20 <span class=\"unit\">W</span></td><td>43<span>.0103</span> <span class=\"unit\">dBm</span></td></tr><tr><td>50 <span class=\"unit\">W</span></td><td>46<span>.9897</span> <span class=\"unit\">dBm</span></td></tr><tr><td>100 <span class=\"unit\">W</span></td><td>50 <span class=\"unit\">dBm</span></td></tr><tr><td>1000 <span class=\"unit\">W</span></td><td>60 <span class=\"unit\">dBm</span></td></tr></table>",
"units": [
[
"milliwatt",
"Milliwatts",
"mW"
],
[
"watt",
"Watts",
"W"
],
[
"kilowatt",
"Kilowatts",
"kW"
],
[
"megawatt",
"Megawatts",
"MW"
],
[
"gigawatt",
"Gigawatts",
"GW"
],
[
"decibel_milliwatt",
"Decibel-milliwatts",
"dBm"
],
[
"decibel_watt",
"Decibel-watts",
"dBW"
],
[
"horsepower_mechanic",
"Horsepower (Mechanic)",
"hp(I)"
],
[
"horsepower_electric",
"Horsepower (Electric)",
"hp(E)"
],
[
"btu_hr",
"BTU/hr",
"BTU/hr"
]
],
"x_long_desc": "The watt (W) is the SI unit of power, defined as one joule per second. It is used to measure the rate of energy transfer and is commonly used in a wide range of applications, including electricity, mechanics, and heating.",
"y_long_desc": "A decibel milliwatt (dBm) is a unit of power level used in radio, microwave, and fiber-optic communication networks. It is a logarithmic unit that expresses power relative to one milliwatt."
}
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