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Kilowatts to Decibel-milliwatts Converter

Enter Kilowatts

kW

Decibel-milliwatts

dBm

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⇅ Switch toDecibel-milliwatts to Kilowatts Converter

How to use this Kilowatts to Decibel-milliwatts Converter 🤔

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

1. Enter the input Kilowatts value in the text field.
2. The calculator converts the given Kilowatts 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 Kilowatts to Decibel-milliwatts?

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

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_(Kilowatts) × 1e6) × Math.LOG10E

Substitute the given value of power in kilowatts, i.e., Power_(Kilowatts) 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 luxury electric car's motor generates 250 kilowatts (kW) of power.
Convert this power output from kilowatts to Decibel-milliwatts.

Answer:

Given:

The power in kilowatts is:

Power_(Kilowatts) = 250

Formula:

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

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_(Kilowatts) × 1e6) × Math.LOG10E

Substitution:

Substitute given weight Power_(Kilowatts) = 250 in the above formula.

Power_{(Decibel-milliwatts)} = 10 × Math.log(250 × 1e6) × Math.LOG10E

Power_{(Decibel-milliwatts)} = 83.9794

Final Answer:

Therefore, 250 kW is equal to 83.9794 dBm.

The power is 83.9794 dBm, in decibel-milliwatts.

2

Consider that a high-end gaming PC setup consumes 1 kilowatt (kW) of power.
Convert this power usage from kilowatts to Decibel-milliwatts.

Answer:

Given:

The power in kilowatts is:

Power_(Kilowatts) = 1

Formula:

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

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_(Kilowatts) × 1e6) × Math.LOG10E

Substitution:

Substitute given weight Power_(Kilowatts) = 1 in the above formula.

Power_{(Decibel-milliwatts)} = 10 × Math.log(1 × 1e6) × Math.LOG10E

Power_{(Decibel-milliwatts)} = 60

Final Answer:

Therefore, 1 kW is equal to 60 dBm.

The power is 60 dBm, in decibel-milliwatts.

Kilowatts to Decibel-milliwatts Conversion Table

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

Kilowatts (kW)	Decibel-milliwatts (dBm)
0.01 kW	40 dBm
0.1 kW	50 dBm
1 kW	60 dBm
2 kW	63.0103 dBm
3 kW	64.7712 dBm
4 kW	66.0206 dBm
5 kW	66.9897 dBm
6 kW	67.7815 dBm
7 kW	68.451 dBm
8 kW	69.0309 dBm
9 kW	69.5424 dBm
10 kW	70 dBm
20 kW	73.0103 dBm
50 kW	76.9897 dBm
100 kW	80 dBm
1000 kW	90 dBm

Kilowatts

A kilowatt (kW) is equal to 1,000 watts. It is commonly used to express the power output of engines and the power consumption of electrical devices. For example, household appliances and electric vehicles are often rated in kilowatts.

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 Kilowatts to Decibel-milliwatts in Power?

2. Is this tool free or paid?

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

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  "y_slug": "decibel_milliwatt",
  "x": "kW",
  "y": "dBm",
  "x_desc": "Kilowatts",
  "y_desc": "Decibel-milliwatts",
  "category": "Power",
  "symbol": "m",
  "formula": "10*Math.log(x*1e6)*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 luxury electric car's motor generates 250 kilowatts (kW) of power.<br>Convert this power output from kilowatts to Decibel-milliwatts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in kilowatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Kilowatts)</sub></span>  = 250</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from kilowatts to decibel-milliwatts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Kilowatts)</sub></span> &times; 1e6) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Kilowatts)</sub> = 250</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>250</span> &times; 1e6) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 83.9794</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>250 kW</strong> is equal to <strong>83.9794 dBm</strong>.</p>\n        <p>The power  is <strong>83.9794 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 high-end gaming PC setup consumes 1 kilowatt (kW) of power.<br>Convert this power usage from kilowatts to Decibel-milliwatts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in kilowatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Kilowatts)</sub></span>  = 1</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from kilowatts to decibel-milliwatts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Kilowatts)</sub></span> &times; 1e6) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Kilowatts)</sub> = 1</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>1</span> &times; 1e6) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 60</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>1 kW</strong> is equal to <strong>60 dBm</strong>.</p>\n        <p>The power  is <strong>60 dBm</strong>, in decibel-milliwatts.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/power/kilowatt-decibel_milliwatt.webp\" height=\"360\" width=\"640\" alt=\"Kilowatts to Decibel-milliwatts Converter | kW to dBm\" />",
  "table1n": "<h2><span class=\"x\">Kilowatts</span> to <span class=\"y\">Decibel-milliwatts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Kilowatts to Decibel-milliwatts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Kilowatts (<span class=\"unit\">kW</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\">kW</span></td><td>40 <span class=\"unit\">dBm</span></td></tr><tr><td>0.1 <span class=\"unit\">kW</span></td><td>50 <span class=\"unit\">dBm</span></td></tr><tr><td>1 <span class=\"unit\">kW</span></td><td>60 <span class=\"unit\">dBm</span></td></tr><tr><td>2 <span class=\"unit\">kW</span></td><td>63<span>.0103</span> <span class=\"unit\">dBm</span></td></tr><tr><td>3 <span class=\"unit\">kW</span></td><td>64<span>.7712</span> <span class=\"unit\">dBm</span></td></tr><tr><td>4 <span class=\"unit\">kW</span></td><td>66<span>.0206</span> <span class=\"unit\">dBm</span></td></tr><tr><td>5 <span class=\"unit\">kW</span></td><td>66<span>.9897</span> <span class=\"unit\">dBm</span></td></tr><tr><td>6 <span class=\"unit\">kW</span></td><td>67<span>.7815</span> <span class=\"unit\">dBm</span></td></tr><tr><td>7 <span class=\"unit\">kW</span></td><td>68<span>.451</span> <span class=\"unit\">dBm</span></td></tr><tr><td>8 <span class=\"unit\">kW</span></td><td>69<span>.0309</span> <span class=\"unit\">dBm</span></td></tr><tr><td>9 <span class=\"unit\">kW</span></td><td>69<span>.5424</span> <span class=\"unit\">dBm</span></td></tr><tr><td>10 <span class=\"unit\">kW</span></td><td>70 <span class=\"unit\">dBm</span></td></tr><tr><td>20 <span class=\"unit\">kW</span></td><td>73<span>.0103</span> <span class=\"unit\">dBm</span></td></tr><tr><td>50 <span class=\"unit\">kW</span></td><td>76<span>.9897</span> <span class=\"unit\">dBm</span></td></tr><tr><td>100 <span class=\"unit\">kW</span></td><td>80 <span class=\"unit\">dBm</span></td></tr><tr><td>1000 <span class=\"unit\">kW</span></td><td>90 <span class=\"unit\">dBm</span></td></tr></table>",
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    [
      "gigawatt",
      "Gigawatts",
      "GW"
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    [
      "decibel_milliwatt",
      "Decibel-milliwatts",
      "dBm"
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    [
      "decibel_watt",
      "Decibel-watts",
      "dBW"
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    [
      "horsepower_mechanic",
      "Horsepower (Mechanic)",
      "hp(I)"
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    [
      "horsepower_electric",
      "Horsepower (Electric)",
      "hp(E)"
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    [
      "btu_hr",
      "BTU/hr",
      "BTU/hr"
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  "x_long_desc": "A kilowatt (kW) is equal to 1,000 watts. It is commonly used to express the power output of engines and the power consumption of electrical devices. For example, household appliances and electric vehicles are often rated in kilowatts.",
  "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."
}