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Gigawatts to Decibel-watts Converter

Enter Gigawatts

GW

Decibel-watts

dBW

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⇅ Switch toDecibel-watts to Gigawatts Converter

How to use this Gigawatts to Decibel-watts Converter 🤔

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

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

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

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Gigawatts) × 1e9) × Math.LOG10E

Substitute the given value of power in gigawatts, i.e., Power_(Gigawatts) 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 large nuclear power plant generates 1.5 gigawatts (GW) of electricity.
Convert this power generation from gigawatts to Decibel-watts.

Answer:

Given:

The power in gigawatts is:

Power_(Gigawatts) = 1.5

Formula:

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

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Gigawatts) × 1e9) × Math.LOG10E

Substitution:

Substitute given weight Power_(Gigawatts) = 1.5 in the above formula.

Power_{(Decibel-watts)} = 10 × Math.log(1.5 × 1e9) × Math.LOG10E

Power_{(Decibel-watts)} = 91.7609

Final Answer:

Therefore, 1.5 GW is equal to 91.7609 dBW.

The power is 91.7609 dBW, in decibel-watts.

2

Consider that a major city's electrical grid requires 2 gigawatts (GW) of power during peak hours.
Convert this power demand from gigawatts to Decibel-watts.

Answer:

Given:

The power in gigawatts is:

Power_(Gigawatts) = 2

Formula:

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

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Gigawatts) × 1e9) × Math.LOG10E

Substitution:

Substitute given weight Power_(Gigawatts) = 2 in the above formula.

Power_{(Decibel-watts)} = 10 × Math.log(2 × 1e9) × Math.LOG10E

Power_{(Decibel-watts)} = 93.0103

Final Answer:

Therefore, 2 GW is equal to 93.0103 dBW.

The power is 93.0103 dBW, in decibel-watts.

Gigawatts to Decibel-watts Conversion Table

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

Gigawatts (GW)	Decibel-watts (dBW)
0.01 GW	70 dBW
0.1 GW	80 dBW
1 GW	90 dBW
2 GW	93.0103 dBW
3 GW	94.7712 dBW
4 GW	96.0206 dBW
5 GW	96.9897 dBW
6 GW	97.7815 dBW
7 GW	98.451 dBW
8 GW	99.0309 dBW
9 GW	99.5424 dBW
10 GW	100 dBW
20 GW	103.0103 dBW
50 GW	106.9897 dBW
100 GW	110 dBW
1000 GW	120 dBW

Gigawatts

A gigawatt (GW) is equal to one billion watts. It is used to measure large-scale power output, such as the capacity of entire power grids or large power plants. Gigawatts are used in the context of national or regional energy production.

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 Gigawatts to Decibel-watts in Power?

2. Is this tool free or paid?

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

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  "x": "GW",
  "y": "dBW",
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  "y_desc": "Decibel-watts",
  "category": "Power",
  "symbol": "m",
  "formula": "10*Math.log(x*1e9)*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 large nuclear power plant generates 1.5 gigawatts (GW) of electricity.<br>Convert this power generation from gigawatts to Decibel-watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in gigawatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Gigawatts)</sub></span>  = 1.5</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from gigawatts to decibel-watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Gigawatts)</sub></span> &times; 1e9) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Gigawatts)</sub> = 1.5</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>1.5</span> &times; 1e9) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 91.7609</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>1.5 GW</strong> is equal to <strong>91.7609 dBW</strong>.</p>\n        <p>The power  is <strong>91.7609 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 major city's electrical grid requires 2 gigawatts (GW) of power during peak hours.<br>Convert this power demand from gigawatts to Decibel-watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in gigawatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Gigawatts)</sub></span>  = 2</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from gigawatts to decibel-watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Gigawatts)</sub></span> &times; 1e9) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Gigawatts)</sub> = 2</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>2</span> &times; 1e9) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 93.0103</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>2 GW</strong> is equal to <strong>93.0103 dBW</strong>.</p>\n        <p>The power  is <strong>93.0103 dBW</strong>, in decibel-watts.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/power/gigawatt-decibel_watt.webp\" height=\"360\" width=\"640\" alt=\"Gigawatts to Decibel-watts Converter | GW to dBW\" />",
  "table1n": "<h2><span class=\"x\">Gigawatts</span> to <span class=\"y\">Decibel-watts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gigawatts to Decibel-watts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gigawatts (<span class=\"unit\">GW</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\">GW</span></td><td>70 <span class=\"unit\">dBW</span></td></tr><tr><td>0.1 <span class=\"unit\">GW</span></td><td>80 <span class=\"unit\">dBW</span></td></tr><tr><td>1 <span class=\"unit\">GW</span></td><td>90 <span class=\"unit\">dBW</span></td></tr><tr><td>2 <span class=\"unit\">GW</span></td><td>93<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>3 <span class=\"unit\">GW</span></td><td>94<span>.7712</span> <span class=\"unit\">dBW</span></td></tr><tr><td>4 <span class=\"unit\">GW</span></td><td>96<span>.0206</span> <span class=\"unit\">dBW</span></td></tr><tr><td>5 <span class=\"unit\">GW</span></td><td>96<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>6 <span class=\"unit\">GW</span></td><td>97<span>.7815</span> <span class=\"unit\">dBW</span></td></tr><tr><td>7 <span class=\"unit\">GW</span></td><td>98<span>.451</span> <span class=\"unit\">dBW</span></td></tr><tr><td>8 <span class=\"unit\">GW</span></td><td>99<span>.0309</span> <span class=\"unit\">dBW</span></td></tr><tr><td>9 <span class=\"unit\">GW</span></td><td>99<span>.5424</span> <span class=\"unit\">dBW</span></td></tr><tr><td>10 <span class=\"unit\">GW</span></td><td>100 <span class=\"unit\">dBW</span></td></tr><tr><td>20 <span class=\"unit\">GW</span></td><td>103<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>50 <span class=\"unit\">GW</span></td><td>106<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>100 <span class=\"unit\">GW</span></td><td>110 <span class=\"unit\">dBW</span></td></tr><tr><td>1000 <span class=\"unit\">GW</span></td><td>120 <span class=\"unit\">dBW</span></td></tr></table>",
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    [
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  "x_long_desc": "A gigawatt (GW) is equal to one billion watts. It is used to measure large-scale power output, such as the capacity of entire power grids or large power plants. Gigawatts are used in the context of national or regional energy production.",
  "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."
}