Gigawatts to Decibel-milliwatts Converter

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Decibel-milliwatts





⇅ Switch toDecibel-milliwatts to Gigawatts Converter

How to use this Gigawatts to Decibel-milliwatts Converter 🤔

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

Gigawatts to Decibel-milliwatts Converter | GW to dBm
  1. Enter the input Gigawatts value in the text field.
  2. The calculator converts the given Gigawatts 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 Gigawatts to Decibel-milliwatts?

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

Power(Decibel-milliwatts) = 10 × Math.log(Power(Gigawatts) × 1e12) × 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-milliwatts, i.e., Power(Decibel-milliwatts).

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-milliwatts.

Answer:

Given:

The power in gigawatts is:

Power(Gigawatts) = 1.5

Formula:

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

Power(Decibel-milliwatts) = 10 × Math.log(Power(Gigawatts) × 1e12) × Math.LOG10E

Substitution:

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

Power(Decibel-milliwatts) = 10 × Math.log(1.5 × 1e12) × Math.LOG10E

Power(Decibel-milliwatts) = 121.7609

Final Answer:

Therefore, 1.5 GW is equal to 121.7609 dBm.

The power is 121.7609 dBm, in decibel-milliwatts.

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-milliwatts.

Answer:

Given:

The power in gigawatts is:

Power(Gigawatts) = 2

Formula:

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

Power(Decibel-milliwatts) = 10 × Math.log(Power(Gigawatts) × 1e12) × Math.LOG10E

Substitution:

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

Power(Decibel-milliwatts) = 10 × Math.log(2 × 1e12) × Math.LOG10E

Power(Decibel-milliwatts) = 123.0103

Final Answer:

Therefore, 2 GW is equal to 123.0103 dBm.

The power is 123.0103 dBm, in decibel-milliwatts.

Gigawatts to Decibel-milliwatts Conversion Table

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

Gigawatts (GW)Decibel-milliwatts (dBm)
0.01 GW100 dBm
0.1 GW110 dBm
1 GW120 dBm
2 GW123.0103 dBm
3 GW124.7712 dBm
4 GW126.0206 dBm
5 GW126.9897 dBm
6 GW127.7815 dBm
7 GW128.451 dBm
8 GW129.0309 dBm
9 GW129.5424 dBm
10 GW130 dBm
20 GW133.0103 dBm
50 GW136.9897 dBm
100 GW140 dBm
1000 GW150 dBm

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-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 Gigawatts to Decibel-milliwatts in Power?

2. Is this tool free or paid?

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