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Watts to Decibel-milliwatts Converter

Enter Watts

W

Decibel-milliwatts

dBm

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⇅ Switch toDecibel-milliwatts to Watts Converter

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.

1. Enter the input Watts value in the text field.
2. 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.
3. You may copy the resulting Decibel-milliwatts value using the Copy button.
4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Watts to Decibel-milliwatts?

The formula to convert given power from Watts to Decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_(Watts) × 1000) × Math.LOG10E

Substitute the given value of power in watts, i.e., Power_(Watts) in the above formula and simplify the right-hand side value. The resulting value is the power in decibel-milliwatts, i.e., Power_{(Decibel-milliwatts)}.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a smartphone charger delivers 15 watts (W) of power.
Convert this power output from watts to Decibel-milliwatts.

Answer:

Given:

The power in watts is:

Power_(Watts) = 15

Formula:

The formula to convert power from watts to decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_(Watts) × 1000) × Math.LOG10E

Substitution:

Substitute given weight Power_(Watts) = 15 in the above formula.

Power_{(Decibel-milliwatts)} = 10 × Math.log(15 × 1000) × Math.LOG10E

Power_{(Decibel-milliwatts)} = 41.7609

Final Answer:

Therefore, 15 W is equal to 41.7609 dBm.

The power is 41.7609 dBm, in decibel-milliwatts.

2

Consider that a laptop uses 65 watts (W) of power while charging.
Convert this power usage from watts to Decibel-milliwatts.

Answer:

Given:

The power in watts is:

Power_(Watts) = 65

Formula:

The formula to convert power from watts to decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_(Watts) × 1000) × Math.LOG10E

Substitution:

Substitute given weight Power_(Watts) = 65 in the above formula.

Power_{(Decibel-milliwatts)} = 10 × Math.log(65 × 1000) × Math.LOG10E

Power_{(Decibel-milliwatts)} = 48.1291

Final Answer:

Therefore, 65 W is equal to 48.1291 dBm.

The power is 48.1291 dBm, in decibel-milliwatts.

Watts to Decibel-milliwatts Conversion Table

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	33.0103 dBm
3 W	34.7712 dBm
4 W	36.0206 dBm
5 W	36.9897 dBm
6 W	37.7815 dBm
7 W	38.451 dBm
8 W	39.0309 dBm
9 W	39.5424 dBm
10 W	40 dBm
20 W	43.0103 dBm
50 W	46.9897 dBm
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?

2. Is this tool free or paid?

3. How do I convert Power from Watts to Decibel-milliwatts?

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  "y": "dBm",
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  "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><strong>Given:</strong></p>\n        <p>The power  in watts is:</p>\n        <p class=\"step\"><span>Power<sub>(Watts)</sub></span>  = 15</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from watts to decibel-milliwatts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Watts)</sub></span> &times; 1000) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Watts)</sub> = 15</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>15</span> &times; 1000) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 41.7609</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>15 W</strong> is equal to <strong>41.7609 dBm</strong>.</p>\n        <p>The power  is <strong>41.7609 dBm</strong>, in decibel-milliwatts.</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><strong>Given:</strong></p>\n        <p>The power  in watts is:</p>\n        <p class=\"step\"><span>Power<sub>(Watts)</sub></span>  = 65</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from watts to decibel-milliwatts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Watts)</sub></span> &times; 1000) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Watts)</sub> = 65</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>65</span> &times; 1000) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 48.1291</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>65 W</strong> is equal to <strong>48.1291 dBm</strong>.</p>\n        <p>The power  is <strong>48.1291 dBm</strong>, in decibel-milliwatts.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/power/watt-decibel_milliwatt.webp\" height=\"360\" width=\"640\" alt=\"Watts to Decibel-milliwatts Converter | W to dBm\" />",
  "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 scope=\"column\" role=\"columnheader\">Watts (<span class=\"unit\">W</span>)</th><th scope=\"column\" role=\"columnheader\">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>",
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      "milliwatt",
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      "kilowatt",
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      "megawatt",
      "Megawatts",
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    [
      "gigawatt",
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      "GW"
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    [
      "decibel_milliwatt",
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      "dBm"
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    [
      "decibel_watt",
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      "dBW"
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    [
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    [
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      "Horsepower (Electric)",
      "hp(E)"
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    [
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      "BTU/hr",
      "BTU/hr"
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  "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."
}