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Milliwatts to Decibel-watts Converter

Enter Milliwatts

mW

Decibel-watts

dBW

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⇅ Switch toDecibel-watts to Milliwatts Converter

How to use this Milliwatts to Decibel-watts Converter 🤔

Follow these steps to convert given power from the units of Milliwatts to the units of Decibel-watts.

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

The formula to convert given power from Milliwatts to Decibel-watts is:

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Milliwatts)) × Math.LOG10E - 30

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

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a mobile phone consumes 500 milliwatts (mW) of power while in standby mode.
Convert this power consumption from milliwatts to Decibel-watts.

Answer:

Given:

The power in milliwatts is:

Power_(Milliwatts) = 500

Formula:

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

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Milliwatts)) × Math.LOG10E - 30

Substitution:

Substitute given weight Power_(Milliwatts) = 500 in the above formula.

Power_{(Decibel-watts)} = 10 × Math.log(500) × Math.LOG10E - 30

Power_{(Decibel-watts)} = -3.0103

Final Answer:

Therefore, 500 mW is equal to -3.0103 dBW.

The power is -3.0103 dBW, in decibel-watts.

2

Consider that a smartwatch operates on 200 milliwatts (mW) of power.
Convert this power usage from milliwatts to Decibel-watts.

Answer:

Given:

The power in milliwatts is:

Power_(Milliwatts) = 200

Formula:

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

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Milliwatts)) × Math.LOG10E - 30

Substitution:

Substitute given weight Power_(Milliwatts) = 200 in the above formula.

Power_{(Decibel-watts)} = 10 × Math.log(200) × Math.LOG10E - 30

Power_{(Decibel-watts)} = -6.9897

Final Answer:

Therefore, 200 mW is equal to -6.9897 dBW.

The power is -6.9897 dBW, in decibel-watts.

Milliwatts to Decibel-watts Conversion Table

The following table gives some of the most used conversions from Milliwatts to Decibel-watts.

Milliwatts (mW)	Decibel-watts (dBW)
0.01 mW	-50 dBW
0.1 mW	-40 dBW
1 mW	-30 dBW
2 mW	-26.9897 dBW
3 mW	-25.2288 dBW
4 mW	-23.9794 dBW
5 mW	-23.0103 dBW
6 mW	-22.2185 dBW
7 mW	-21.549 dBW
8 mW	-20.9691 dBW
9 mW	-20.4576 dBW
10 mW	-20 dBW
20 mW	-16.9897 dBW
50 mW	-13.0103 dBW
100 mW	-10 dBW
1000 mW	0 dBW

Milliwatts

A milliwatt (mW) is a unit of power equal to one thousandth of a watt. It is often used in contexts where power levels are low, such as in electronics and communications.

Decibel-watts

A decibel watt (dBW) is a unit of power level relative to one watt, expressed in decibels. It is commonly used in telecommunications and audio engineering to describe power levels in a logarithmic scale.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Milliwatts to Decibel-watts in Power?

2. Is this tool free or paid?

3. How do I convert Power from Milliwatts to Decibel-watts?

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  "x_slug": "milliwatt",
  "y_slug": "decibel_watt",
  "x": "mW",
  "y": "dBW",
  "x_desc": "Milliwatts",
  "y_desc": "Decibel-watts",
  "category": "Power",
  "symbol": "m",
  "formula": "10*Math.log(x)*Math.LOG10E - 30",
  "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 consumes 500 milliwatts (mW) of power while in standby mode.<br>Convert this power consumption from milliwatts to Decibel-watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in milliwatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Milliwatts)</sub></span>  = 500</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from milliwatts to decibel-watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Milliwatts)</sub></span>) &times; Math.LOG10E - 30</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Milliwatts)</sub> = 500</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>500</span>) &times; Math.LOG10E - 30</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = -3.0103</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>500 mW</strong> is equal to <strong>-3.0103 dBW</strong>.</p>\n        <p>The power  is <strong>-3.0103 dBW</strong>, in decibel-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 smartwatch operates on 200 milliwatts (mW) of power.<br>Convert this power usage from milliwatts to Decibel-watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in milliwatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Milliwatts)</sub></span>  = 200</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from milliwatts to decibel-watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Milliwatts)</sub></span>) &times; Math.LOG10E - 30</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Milliwatts)</sub> = 200</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>200</span>) &times; Math.LOG10E - 30</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = -6.9897</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>200 mW</strong> is equal to <strong>-6.9897 dBW</strong>.</p>\n        <p>The power  is <strong>-6.9897 dBW</strong>, in decibel-watts.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/power/milliwatt-decibel_watt.webp\" height=\"360\" width=\"640\" alt=\"Milliwatts to Decibel-watts Converter | mW to dBW\" />",
  "table1n": "<h2><span class=\"x\">Milliwatts</span> to <span class=\"y\">Decibel-watts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Milliwatts to Decibel-watts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Milliwatts (<span class=\"unit\">mW</span>)</th><th scope=\"column\" role=\"columnheader\">Decibel-watts (<span class=\"unit\">dBW</span>)</th><tr></thead><tbody><tr><td>0.01 <span class=\"unit\">mW</span></td><td>-50 <span class=\"unit\">dBW</span></td></tr><tr><td>0.1 <span class=\"unit\">mW</span></td><td>-40 <span class=\"unit\">dBW</span></td></tr><tr><td>1 <span class=\"unit\">mW</span></td><td>-30 <span class=\"unit\">dBW</span></td></tr><tr><td>2 <span class=\"unit\">mW</span></td><td>-26<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>3 <span class=\"unit\">mW</span></td><td>-25<span>.2288</span> <span class=\"unit\">dBW</span></td></tr><tr><td>4 <span class=\"unit\">mW</span></td><td>-23<span>.9794</span> <span class=\"unit\">dBW</span></td></tr><tr><td>5 <span class=\"unit\">mW</span></td><td>-23<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>6 <span class=\"unit\">mW</span></td><td>-22<span>.2185</span> <span class=\"unit\">dBW</span></td></tr><tr><td>7 <span class=\"unit\">mW</span></td><td>-21<span>.549</span> <span class=\"unit\">dBW</span></td></tr><tr><td>8 <span class=\"unit\">mW</span></td><td>-20<span>.9691</span> <span class=\"unit\">dBW</span></td></tr><tr><td>9 <span class=\"unit\">mW</span></td><td>-20<span>.4576</span> <span class=\"unit\">dBW</span></td></tr><tr><td>10 <span class=\"unit\">mW</span></td><td>-20 <span class=\"unit\">dBW</span></td></tr><tr><td>20 <span class=\"unit\">mW</span></td><td>-16<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>50 <span class=\"unit\">mW</span></td><td>-13<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>100 <span class=\"unit\">mW</span></td><td>-10 <span class=\"unit\">dBW</span></td></tr><tr><td>1000 <span class=\"unit\">mW</span></td><td>0 <span class=\"unit\">dBW</span></td></tr></table>",
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      "megawatt",
      "Megawatts",
      "MW"
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    [
      "gigawatt",
      "Gigawatts",
      "GW"
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    [
      "decibel_milliwatt",
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      "dBm"
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    [
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      "Decibel-watts",
      "dBW"
    ],
    [
      "horsepower_mechanic",
      "Horsepower (Mechanic)",
      "hp(I)"
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    [
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      "Horsepower (Electric)",
      "hp(E)"
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    [
      "btu_hr",
      "BTU/hr",
      "BTU/hr"
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  "x_long_desc": "A milliwatt (mW) is a unit of power equal to one thousandth of a watt. It is often used in contexts where power levels are low, such as in electronics and communications.",
  "y_long_desc": "A decibel watt (dBW) is a unit of power level relative to one watt, expressed in decibels. It is commonly used in telecommunications and audio engineering to describe power levels in a logarithmic scale."
}