RF Power Converter

Overview

Converts RF power values between linear and logarithmic units, supporting both 50 Ω and 75 Ω system impedances. All conversions route through watts as an intermediate unit.

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
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 (75 Ω)	P_W = V² / 75
dBμV (50 Ω)	P_W = 10^((P - 136.99) / 10)
dBmV (50 Ω)	P_W = 10^((P - 76.99) / 10)
V (50 Ω)	P_W = V² / 50

From Watts

Each formula above is simply inverted. For example:

dBm  = 10 × log₁₀(P_W) + 30
V    = √(P_W × Z₀)

Input Parameters

• Power

• Input unit

• Output unit

Example

Input:

• Power: 0 dBm

• Output unit: dBμV (Z₀ = 75 Ω)

Calculation:

To watts:
  P_W = 10^((0 - 30) / 10) = 10^(-3) = 0.001 W

From watts to dBμV (75 Ω):
  dBμV = 10 × log₁₀(0.001) + 138.75
       = -30 + 138.75
       = 108.75 dBμV

Output: 108.75 dBμV (Z₀ = 75 Ω)