📡 RF Wireless & Telecommunications
$\text{dBm}$ to $\text{Watt}$ & Decibel Power Converter
Convert radio frequency power levels across logarithmic $\text{dBm}$ ($\text{dBmW}$), $\text{dBW}$, linear Watts ($\text{W}, \text{mW}, \mu\text{W}$), and $50\,\Omega$ RF RMS voltages.
📶 Weak Wi-Fi (-80 dBm)
🎧 Bluetooth (+4 dBm)
📡 Wi-Fi Router (+20 dBm)
📻 1 Watt (+30 dBm)
🗼 Cell Tower (+43 dBm)
Input RF Power Level
Linear Power (Watts)
100.0 mW
dBm
+20.00 dBm
dBW
-10.00 dBW
50Ω VRMS
2.236 V
💡 RF Logarithmic Decibel Formula:
$$P(\text{dBm}) = 10 \log_{10}(P_{\text{mW}}) \implies 20\text{ dBm} = 100\text{ mW} = 0.1\text{ W}$$
Understanding dBm and RF Power Math
The decibel-milliwatt ($\text{dBm}$) is a logarithmic unit of level used to indicate that a power level is expressed in decibels ($\text{dB}$) with reference to one milliwatt ($1\text{ mW}$):
- Formulas:
- $$P_{\text{dBm}} = 10 \log_{10}\left(\frac{P}{1\text{ mW}}\right)$$
- $$P_{\text{mW}} = 10^{\frac{P_{\text{dBm}}}{10}}$$
- $$P_{\text{dBW}} = P_{\text{dBm}} - 30\text{ dB}$$
- 50-Ohm System Voltage: In standard RF coaxial systems ($Z_0 = 50\,\Omega$): $$V_{\text{RMS}} = \sqrt{P(\text{W}) \times 50\,\Omega}$$
- The 3 dB Rule: Adding $+3\text{ dB}$ doubles the power; subtracting $-3\text{ dB}$ halves the power.