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Decibel-milliwatts to Watts Converter

Enter Decibel-milliwatts

dBm

Watts

W

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⇅ Switch toWatts to Decibel-milliwatts Converter

How to use this Decibel-milliwatts to Watts Converter 🤔

Follow these steps to convert given power from the units of Decibel-milliwatts to the units of Watts.

1. Enter the input Decibel-milliwatts value in the text field.
2. The calculator converts the given Decibel-milliwatts into Watts in realtime ⌚ using the conversion formula, and displays under the Watts label. You do not need to click any button. If the input changes, Watts value is re-calculated, just like that.
3. You may copy the resulting Watts 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 Decibel-milliwatts to Watts?

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

Power_(Watts) = Math.pow(10,(Power_{(Decibel-milliwatts)}/10)) / 1e3

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

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a mobile phone antenna operates at 30 decibel-milliwatts (dBm).
Convert this power level from decibel-milliwatts to Watts.

Answer:

Given:

The power in decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 30

Formula:

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

Power_(Watts) = Math.pow(10,(Power_{(Decibel-milliwatts)}/10)) / 1e3

Substitution:

Substitute given weight Power_{(Decibel-milliwatts)} = 30 in the above formula.

Power_(Watts) = Math.pow(10,(30/10)) / 1e3

Power_(Watts) = 1

Final Answer:

Therefore, 30 dBm is equal to 1 W.

The power is 1 W, in watts.

2

Consider that a Wi-Fi router broadcasts at 20 decibel-milliwatts (dBm).
Convert this signal strength from decibel-milliwatts to Watts.

Answer:

Given:

The power in decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 20

Formula:

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

Power_(Watts) = Math.pow(10,(Power_{(Decibel-milliwatts)}/10)) / 1e3

Substitution:

Substitute given weight Power_{(Decibel-milliwatts)} = 20 in the above formula.

Power_(Watts) = Math.pow(10,(20/10)) / 1e3

Power_(Watts) = 0.1

Final Answer:

Therefore, 20 dBm is equal to 0.1 W.

The power is 0.1 W, in watts.

Decibel-milliwatts to Watts Conversion Table

The following table gives some of the most used conversions from Decibel-milliwatts to Watts.

Decibel-milliwatts (dBm)	Watts (W)
0.01 dBm	0.00100230524 W
0.1 dBm	0.00102329299 W
1 dBm	0.00125892541 W
2 dBm	0.00158489319 W
3 dBm	0.00199526231 W
4 dBm	0.00251188643 W
5 dBm	0.00316227766 W
6 dBm	0.00398107171 W
7 dBm	0.00501187234 W
8 dBm	0.00630957344 W
9 dBm	0.00794328235 W
10 dBm	0.01 W
20 dBm	0.1 W
50 dBm	100 W
100 dBm	10000000 W
1000 dBm	1e+97 W

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.

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.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Decibel-milliwatts to Watts in Power?

2. Is this tool free or paid?

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

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  "y_desc": "Watts",
  "category": "Power",
  "symbol": "m",
  "formula": "Math.pow(10,(x/10)) / 1e3",
  "precision": 11,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that a mobile phone antenna operates at 30 decibel-milliwatts (dBm).<br>Convert this power level from decibel-milliwatts to Watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in decibel-milliwatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span>  = 30</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from decibel-milliwatts to watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Watts)</sub></span> = Math.pow(10,(<span>Power<sub>(Decibel-milliwatts)</sub></span>/10)) / 1e3</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Decibel-milliwatts)</sub> = 30</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Watts)</sub></span> = Math.pow(10,(<span>30</span>/10)) / 1e3</p>\n        <p class=\"step\"><span>Power<sub>(Watts)</sub></span> = 1</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>30 dBm</strong> is equal to <strong>1 W</strong>.</p>\n        <p>The power  is <strong>1 W</strong>, in watts.</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 Wi-Fi router broadcasts at 20 decibel-milliwatts (dBm).<br>Convert this signal strength from decibel-milliwatts to Watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in decibel-milliwatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span>  = 20</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from decibel-milliwatts to watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Watts)</sub></span> = Math.pow(10,(<span>Power<sub>(Decibel-milliwatts)</sub></span>/10)) / 1e3</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Decibel-milliwatts)</sub> = 20</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Watts)</sub></span> = Math.pow(10,(<span>20</span>/10)) / 1e3</p>\n        <p class=\"step\"><span>Power<sub>(Watts)</sub></span> = 0.1</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>20 dBm</strong> is equal to <strong>0.1 W</strong>.</p>\n        <p>The power  is <strong>0.1 W</strong>, in watts.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/power/decibel_milliwatt-watt.webp\" height=\"360\" width=\"640\" alt=\"Decibel-milliwatts to Watts Converter | dBm to W\" />",
  "table1n": "<h2><span class=\"x\">Decibel-milliwatts</span> to <span class=\"y\">Watts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Decibel-milliwatts to Watts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Decibel-milliwatts (<span class=\"unit\">dBm</span>)</th><th scope=\"column\" role=\"columnheader\">Watts (<span class=\"unit\">W</span>)</th><tr></thead><tbody><tr><td>0.01 <span class=\"unit\">dBm</span></td><td>0<span>.00100230524</span> <span class=\"unit\">W</span></td></tr><tr><td>0.1 <span class=\"unit\">dBm</span></td><td>0<span>.00102329299</span> <span class=\"unit\">W</span></td></tr><tr><td>1 <span class=\"unit\">dBm</span></td><td>0<span>.00125892541</span> <span class=\"unit\">W</span></td></tr><tr><td>2 <span class=\"unit\">dBm</span></td><td>0<span>.00158489319</span> <span class=\"unit\">W</span></td></tr><tr><td>3 <span class=\"unit\">dBm</span></td><td>0<span>.00199526231</span> <span class=\"unit\">W</span></td></tr><tr><td>4 <span class=\"unit\">dBm</span></td><td>0<span>.00251188643</span> <span class=\"unit\">W</span></td></tr><tr><td>5 <span class=\"unit\">dBm</span></td><td>0<span>.00316227766</span> <span class=\"unit\">W</span></td></tr><tr><td>6 <span class=\"unit\">dBm</span></td><td>0<span>.00398107171</span> <span class=\"unit\">W</span></td></tr><tr><td>7 <span class=\"unit\">dBm</span></td><td>0<span>.00501187234</span> <span class=\"unit\">W</span></td></tr><tr><td>8 <span class=\"unit\">dBm</span></td><td>0<span>.00630957344</span> <span class=\"unit\">W</span></td></tr><tr><td>9 <span class=\"unit\">dBm</span></td><td>0<span>.00794328235</span> <span class=\"unit\">W</span></td></tr><tr><td>10 <span class=\"unit\">dBm</span></td><td>0<span>.01</span> <span class=\"unit\">W</span></td></tr><tr><td>20 <span class=\"unit\">dBm</span></td><td>0<span>.1</span> <span class=\"unit\">W</span></td></tr><tr><td>50 <span class=\"unit\">dBm</span></td><td>100 <span class=\"unit\">W</span></td></tr><tr><td>100 <span class=\"unit\">dBm</span></td><td>10000000 <span class=\"unit\">W</span></td></tr><tr><td>1000 <span class=\"unit\">dBm</span></td><td>1e+97 <span class=\"unit\">W</span></td></tr></table>",
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    [
      "decibel_milliwatt",
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      "dBm"
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    [
      "decibel_watt",
      "Decibel-watts",
      "dBW"
    ],
    [
      "horsepower_mechanic",
      "Horsepower (Mechanic)",
      "hp(I)"
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    [
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      "hp(E)"
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    [
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      "BTU/hr",
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  "x_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."
}