DecibelWatt to Decibelmilliwatt Converter

How to Use the Calculator

1. Enter the power level in decibel watts (dBW) in the input field.
2. Click the "Calculate" button to convert the value to decibel milliwatts (dBm).
3. The result will be displayed in the dBm field.
4. If you want to start over, click the "Reset" button.

Understanding DecibelWatt (dBW) and Decibelmilliwatt (dBm)

DecibelWatt (dBW) is a logarithmic unit used to express the ratio of a power level to one watt. It is defined as:

P(dBW) = 10 log₁₀(P(W) / 1W)

Where P(W) is the power in watts.

Decibelmilliwatt (dBm) is similarly a logarithmic unit used to express the ratio of a power level to one milliwatt. It is defined as:

P(dBm) = 10 log₁₀(P(mW) / 1mW)

Where P(mW) is the power in milliwatts.

The relationship between dBW and dBm is straightforward:

dBm = dBW + 10

This is because 1 watt is equal to 1000 milliwatts, and the logarithmic scale shifts the reference by 10 dB when converting between watts and milliwatts.

Applications

This calculator is useful in various fields such as telecommunications, radio frequency engineering, and audio engineering where power levels are often expressed in dBW or dBm. It helps in converting between these units for consistent measurement and analysis.