# dBm to Watt conversion and formula

dBm (decibel milliwatt) to Watts conversion and vice versa is a fundamental process used in telecommunications, electronics, and radio frequency engineering to quantify and compare power levels. It simplifies power calculations by expressing power values in a logarithmic scale, making it easier to work with a wide range of power levels. Here's a brief overview of dBm to Watt conversion and vice versa:

## 1. dBm to Watts Conversion :

dBm is a logarithmic unit of power relative to 1 milliwatt (mW).
The following dBm to watt formula is used to convert power in dBm to Watts.

➨Power (Watts) = 10^(dBm/10) / 1000

In this formula, dBm is divided by 10 to convert from a decibel scale to a linear scale, and then raised to the 10th
power to reverse the logarithmic transformation. Dividing by 1000 is done to convert milliwatts to watts.

## 2. Watt to dBm Conversion :

To convert Watts to dBm, you use the reverse process as follows.

➨dBm = 10 * log10(Power (Watts) * 1000)

In this formula, the power in Watts is multiplied by 1000 to convert from Watts to milliwatts,
then the logarithm base 10 is applied, and finally,
the result is multiplied by 10 to obtain the value in dBm.

### Why dBm to Watts Conversion is Useful ?

• dBm allows for the representation of a wide range of power levels on a compact scale. It makes it easier to compare
and work with power values that may span many orders of magnitude.

• Engineers and technicians often use dBm when dealing with signal strength, amplifier gain, and power loss calculations.

• dBm is commonly used in telecommunications and RF (radio frequency) applications to express the strength
of signals in wireless communication systems.

## Watt to dBm conversion

EXAMPLE #1 to convert 1 watt to dBm

Power in watt = 1

Power in dBm = 30

EXAMPLE #2 to convert 10 watt to dBm

Power in watt = 10

Power in dBm = 40

## dbm to watt Conversion

Like previous converter, following dBm to Watts calculator is used to calculate power in dBm units to power in units of watts.

EXAMPLE #1 ( dbm to watt Conversion ) to convert 40 dbm to watt

Power in dBm = 40

Power in Watts = 10

EXAMPLE #2 to convert -30 dbm to watts

Power in dBm = -30

Power in Watts = 0.000001

EXAMPLE #3 to convert 10 dbm to watt

Power in dBm = 10

Power in Watts = 0.01

## dbm to watt formula or Equation

dBm is the power measurement unit similar to watt and milliwatt. dBm is power with reference to 1 milliwatt. Following equation or formula is used for dBm to milliwatt and viceversa for conversion. Convert power in watts to power in milliwatts (mw) if one wants to use following formula.

**Conclusion** : In summary, dBm to Watts conversion and vice versa simplifies power calculations by providing a
logarithmic scale that allows for easy representation and manipulation of power levels,
especially in fields where precision and a wide range of values are involved.
It's a valuable tool for engineers and professionals working in areas like telecommunications and electronics.

## dBm related links

## Other converters and calculators

Stripline Impedance calculator

Microstrip line impedance

Antenna G/T

Noise temp. to NF