RF Power Converter

Overview

Converts RF power values between linear and logarithmic units, supporting both 50 Ω and 75 Ω system impedances for dBμV and dBmV, and an arbitrary reference impedance for voltage (V) units.

Conversion Pipeline

Input (any unit) → Watts → Output (any unit)

Supported Units

Unit	Type	Reference
W	Linear	—
mW	Linear	—
dBm	Logarithmic	1 mW
dBμV	Logarithmic	1 μV
dBmV	Logarithmic	1 mV
dBpW	Logarithmic	1 pW
V	Linear	Z₀

Each of dBμV, dBmV, and V is available in both 50 Ω and 75 Ω variants.

Formulas

To Watts

Unit	Formula
W	P_W = P
mW	P_W = P × 10⁻³
dBm	P_W = 10^((P - 30) / 10)
dBμV (75 Ω)	P_W = 10^((P - 138.75) / 10)
dBmV (75 Ω)	P_W = 10^((P - 78.75) / 10)
V (Z₀)	P_W = V² / Z₀
dBμV (50 Ω)	P_W = 10^((P - 136.99) / 10)
dBmV (50 Ω)	P_W = 10^((P - 76.99) / 10)
dBpW	P_W = 10^((P - 120) / 10)

From Watts

Unit	Formula
W	P = P_W
mW	P = P_W × 10³
dBm	P = 10 × log₁₀(P_W) + 30
dBμV (75 Ω)	P = 10 × log₁₀(P_W) + 138.75
dBmV (75 Ω)	P = 10 × log₁₀(P_W) + 78.75
V (Z₀)	P = √(P_W × Z₀)
dBμV (50 Ω)	P = 10 × log₁₀(P_W) + 136.99
dBmV (50 Ω)	P = 10 × log₁₀(P_W) + 76.99
dBpW	P = 10 × log₁₀(P_W) + 120

Direct Conversion Summary

from \ to	W	dBm	dBμV (75 Ω)	dBmV (75 Ω)	dBμV (50 Ω)	dBmV (50 Ω)	dBpW
W	—	10·log₁₀(P) + 30	10·log₁₀(P) + 138.75	10·log₁₀(P) + 78.75	10·log₁₀(P) + 136.99	10·log₁₀(P) + 76.99	10·log₁₀(P) + 120
dBm	10^(0.1·P − 30)	—	P + 108.75	P + 48.75	P + 106.99	P + 46.99	P + 90
dBμV (75 Ω)	10^(0.1·P − 138.75)	P − 108.75	—	P − 60	P − 1.76	P − 61.76	P − 18.75
dBmV (75 Ω)	10^(0.1·P − 78.75)	P − 48.75	P + 60	—	P + 58.35	P − 1.76	P + 41.25
dBμV (50 Ω)	10^(0.1·P − 136.99)	P − 106.99	P + 1.76	P − 58.35	—	P − 60	P − 16.99
dBmV (50 Ω)	10^(0.1·P − 76.99)	P − 46.99	P + 61.76	P + 1.76	P + 60	—	P + 43.01
dBpW	10^(0.1·P − 120)	P − 90	P + 18.75	P − 41.25	P + 16.99	P − 43.01	—