mW to dBm Calculator
Instantly convert Milliwatt (mW) to Decibel Milliwatt (dBm). Dual-interactive inputs with standard formulas.
mW
dBm
Conversion Theory & Math Derivation
Mathematical Formulas:
mW to dBm:
mW = 10^(dBm / 10)dBm to mW:
dBm = 10 * log10(mW)Step-by-Step Derivation & Logic:
- dBm (decibel-milliwatt) is an absolute logarithmic unit of power, referenced to 1 milliwatt (mW).
- The formula to convert linear milliwatts (mW) to decibel-milliwatts (dBm) is: P(dBm) = 10 * log10(P(mW)).
- To go from dBm back to milliwatts, we apply the inverse logarithm: P(mW) = 10^(P(dBm) / 10).
Note: Decibel calculations represent power or voltage logarithmic ratios. In RF systems, power and voltage conversion requires a clear load resistance context (typically 50 Ohms in standard laboratory setups). Incorrect impedance assumptions will lead to 30-40dB errors in readings.
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