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dBm to Watts Power Converter

Convert RF power between dBm, Watts, milliwatts, dBW, dBμV, and RMS volts into 50Ω. Essential for link budgets, amplifier analysis, and RF system design.

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Formula

P(W)=10dBm/10×103,V=P×50P(W) = 10^{dBm/10} \times 10^{-3}, \quad V = \sqrt{P \times 50}
PPower (W or mW)
dBmPower in dBm (dBm)
dBWPower in dBW (= dBm − 30) (dBW)
VRMS voltage into 50Ω (V)

How It Works

The decibel-milliwatt (dBm) is a logarithmic power ratio referenced to 1 milliwatt, commonly used in telecommunications and RF engineering to express signal strength. Converting dBm to watts requires applying an exponential calculation that scales the logarithmic representation back to absolute power measurements. This conversion is critical for understanding signal levels, antenna performance, and power budgets in communication systems.

Worked Example

Problem: Convert 20 dBm to watts Solution: 1. Apply formula P(W) = 10^(dBm/10) × 10⁻³ 2. P(W) = 10^(20/10) × 10⁻³ 3. P(W) = 10^2 × 0.001 4. P(W) = 100 × 0.001 5. P(W) = 0.1 watts

Practical Tips

  • Always verify the reference impedance (typically 50Ω)
  • Use a calculator with scientific notation support
  • Double-check unit conversions and scaling factors

Common Mistakes

  • Forgetting to divide dBm value by 10 before exponentiating
  • Incorrectly applying the 10⁻³ scaling factor
  • Confusing dBm with absolute power measurements

Frequently Asked Questions

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