Decibel-watts to Milliwatts Converter

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Milliwatts





⇅ Switch toMilliwatts to Decibel-watts Converter

How to use this Decibel-watts to Milliwatts Converter 🤔

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

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

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

Power(Milliwatts) = Math.pow(10,(Power(Decibel-watts)/10)) × 1e3

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

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a radio station transmitter operates at 50 decibel-watts (dBW).
Convert this power level from decibel-watts to Milliwatts.

Answer:

Given:

The power in decibel-watts is:

Power(Decibel-watts) = 50

Formula:

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

Power(Milliwatts) = Math.pow(10,(Power(Decibel-watts)/10)) × 1e3

Substitution:

Substitute given weight Power(Decibel-watts) = 50 in the above formula.

Power(Milliwatts) = Math.pow(10,(50/10)) × 1e3

Power(Milliwatts) = 100000000

Final Answer:

Therefore, 50 dBW is equal to 100000000 mW.

The power is 100000000 mW, in milliwatts.

2

Consider that a satellite transmits signals at 40 decibel-watts (dBW).
Convert this power level from decibel-watts to Milliwatts.

Answer:

Given:

The power in decibel-watts is:

Power(Decibel-watts) = 40

Formula:

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

Power(Milliwatts) = Math.pow(10,(Power(Decibel-watts)/10)) × 1e3

Substitution:

Substitute given weight Power(Decibel-watts) = 40 in the above formula.

Power(Milliwatts) = Math.pow(10,(40/10)) × 1e3

Power(Milliwatts) = 10000000

Final Answer:

Therefore, 40 dBW is equal to 10000000 mW.

The power is 10000000 mW, in milliwatts.

Decibel-watts to Milliwatts Conversion Table

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

Decibel-watts (dBW)Milliwatts (mW)
0.01 dBW1002.3052 mW
0.1 dBW1023.293 mW
1 dBW1258.9254 mW
2 dBW1584.8932 mW
3 dBW1995.2623 mW
4 dBW2511.8864 mW
5 dBW3162.2777 mW
6 dBW3981.0717 mW
7 dBW5011.8723 mW
8 dBW6309.5734 mW
9 dBW7943.2823 mW
10 dBW10000 mW
20 dBW100000 mW
50 dBW100000000 mW
100 dBW10000000000000 mW
1000 dBW1e+103 mW

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.

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.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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