How to use this Watts to Decibel-watts Converter 🤔
Follow these steps to convert given power from the units of Watts to the units of Decibel-watts.
Enter the input Watts value in the text field.
The calculator converts the given Watts 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.
You may copy the resulting Decibel-watts value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
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-watts?
The formula to convert given power from Watts to Decibel-watts is:
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-watts, i.e., Power(Decibel-watts).
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-watts.
Answer:
Given:
The power in watts is:
Power(Watts) = 15
Formula:
The formula to convert power from watts to decibel-watts is:
The following table gives some of the most used conversions from Watts to Decibel-watts.
Watts (W)
Decibel-watts (dBW)
0.01 W
-20 dBW
0.1 W
-10 dBW
1 W
0 dBW
2 W
3.0103dBW
3 W
4.7712dBW
4 W
6.0206dBW
5 W
6.9897dBW
6 W
7.7815dBW
7 W
8.451dBW
8 W
9.0309dBW
9 W
9.5424dBW
10 W
10 dBW
20 W
13.0103dBW
50 W
16.9897dBW
100 W
20 dBW
1000 W
30 dBW
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-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 Watts to Decibel-watts in Power?
The formula to convert Watts to Decibel-watts in Power is:
10*Math.log(Watts)*Math.LOG10E
2. Is this tool free or paid?
This Power conversion tool, which converts Watts to Decibel-watts, is completely free to use.
3. How do I convert Power from Watts to Decibel-watts?
To convert Power from Watts to Decibel-watts, you can use the following formula:
10*Math.log(Watts)*Math.LOG10E
For example, if you have a value in Watts, you substitute that value in place of Watts in the above formula, and solve the mathematical expression to get the equivalent value in Decibel-watts.
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"y_slug": "decibel_watt",
"x": "W",
"y": "dBW",
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"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-watts.</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-watts is:</p>\n <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 × Math.log(<span>Power<sub>(Watts)</sub></span>) × 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-watts)</sub></span> = 10 × Math.log(<span>15</span>) × Math.LOG10E</p>\n <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 11.7609</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>15 W</strong> is equal to <strong>11.7609 dBW</strong>.</p>\n <p>The power is <strong>11.7609 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 laptop uses 65 watts (W) of power while charging.<br>Convert this power usage from watts to Decibel-watts.</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-watts is:</p>\n <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 × Math.log(<span>Power<sub>(Watts)</sub></span>) × 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-watts)</sub></span> = 10 × Math.log(<span>65</span>) × Math.LOG10E</p>\n <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 18.1291</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>65 W</strong> is equal to <strong>18.1291 dBW</strong>.</p>\n <p>The power is <strong>18.1291 dBW</strong>, in decibel-watts.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Watts</span> to <span class=\"y\">Decibel-watts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Watts to Decibel-watts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Watts (<span class=\"unit\">W</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\">W</span></td><td>-20 <span class=\"unit\">dBW</span></td></tr><tr><td>0.1 <span class=\"unit\">W</span></td><td>-10 <span class=\"unit\">dBW</span></td></tr><tr><td>1 <span class=\"unit\">W</span></td><td>0 <span class=\"unit\">dBW</span></td></tr><tr><td>2 <span class=\"unit\">W</span></td><td>3<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>3 <span class=\"unit\">W</span></td><td>4<span>.7712</span> <span class=\"unit\">dBW</span></td></tr><tr><td>4 <span class=\"unit\">W</span></td><td>6<span>.0206</span> <span class=\"unit\">dBW</span></td></tr><tr><td>5 <span class=\"unit\">W</span></td><td>6<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>6 <span class=\"unit\">W</span></td><td>7<span>.7815</span> <span class=\"unit\">dBW</span></td></tr><tr><td>7 <span class=\"unit\">W</span></td><td>8<span>.451</span> <span class=\"unit\">dBW</span></td></tr><tr><td>8 <span class=\"unit\">W</span></td><td>9<span>.0309</span> <span class=\"unit\">dBW</span></td></tr><tr><td>9 <span class=\"unit\">W</span></td><td>9<span>.5424</span> <span class=\"unit\">dBW</span></td></tr><tr><td>10 <span class=\"unit\">W</span></td><td>10 <span class=\"unit\">dBW</span></td></tr><tr><td>20 <span class=\"unit\">W</span></td><td>13<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>50 <span class=\"unit\">W</span></td><td>16<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>100 <span class=\"unit\">W</span></td><td>20 <span class=\"unit\">dBW</span></td></tr><tr><td>1000 <span class=\"unit\">W</span></td><td>30 <span class=\"unit\">dBW</span></td></tr></table>",
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ConvertOnline