RF Power dBm, Milliwatts, Watts & 50-Ohm RMS/Peak Voltage Converter

Convert dBm ↔ mW, Watts, and 50Ω RMS / Vpp RF signal amplitude.

RF Linear Power in Milliwatts
100 mW
RMS Signal Voltage (V_rms) 2.24 V
Peak-to-Peak Voltage (V_pp) 6.32 V
Power in dBW -10 dBW
Inputs
dBm
Signal power level in decibel-milliwatts (dBm).
Ω
System characteristic impedance Z₀ (50 Ω RF or 75 Ω video/coax).
Results & Graph
RF Linear Power in Milliwatts
100 mW
RMS Signal Voltage (V_rms)
2.24 V
Peak-to-Peak Voltage (V_pp)
6.32 V
Power in dBW
-10 dBW

RF Linear Power in Milliwatts

Graph 1 • Power Dbm Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 mW 540 mW 1.1k mW 50%: 10 mW 10 50% 75%: 31.62 mW 31.6 75% 100%: 100 mW 100 100% 125%: 316.23 mW 316.2 125% 150%: 1,000 mW 1.0k 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
RF Linear Power in Milliwatts 100 mW RMS Signal Voltage (V_rms) 2.24 V Peak-to-Peak Voltage (V_pp) 6.32 V Power in dBW -10 dBW
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
RF Linear Power in Milliwatts100 mWRMS Signal Voltage (V_rms)2.24 VPeak-to-Peak Voltage (V_pp)6.32 VPower in dBW-10 dBW
Summary: 20 dBm equals 100 mW (0.1 W) and 2.236 V_rms (6.325 V_pp) across 50 Ω.
Summary: 20 dBm equals 100 mW (0.1 W) and 2.236 V_rms (6.325 V_pp) across 50 Ω.
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Interactive chart & math engine powered by CalculatorGraph

Formula & Mathematical Methodology: dBm to Watts & Volts Physics & Engineering Equation

PmW = 10dBm / 10
Vrms = Pwatts × Z₀
Vpp = 2 × √2 × Vrms
P_mW = 10^(dBm / 10); V_rms = √(P_watts × Z₀); V_pp = 2 × √2 × V_rms
  • powerDbm: Power Dbm (dBm)
  • systemImpedanceOhms: System Impedance Ohms (Ω)

Rounding: Physical constants follow CODATA/NIST values; output quantities display to 2 decimal places.

Worked Example: Physics & Engineering Benchmark: dBm to Watts & Volts

Convert dBm ↔ mW, Watts, and 50Ω RMS / Vpp RF signal amplitude.

  1. Enter the physical dimensions, electrical parameters, or thermodynamic state variables.
  2. Apply the governing equation: P_mW = 10^(dBm / 10); V_rms = √(P_watts × Z₀); V_pp = 2 × √2 × V_rms.
  3. Inspect the primary SI output, derived quantities, and 3 visual SVG graphs.
Result: Computes dBm to Watts & Volts via P_mW = 10^(dBm / 10); V_rms = √(P_watts × Z₀); V_pp = 2 × √2 × V_rms.

Frequently Asked Questions

What equation powers the RF Power dBm, Milliwatts, Watts & 50-Ohm RMS/Peak Voltage Converter?

It evaluates P_mW = 10^(dBm / 10); V_rms = √(P_watts × Z₀); V_pp = 2 × √2 × V_rms using IEEE-754 double precision and renders three synchronized SVG plots.

Can I test parameter sensitivity across multiple values?

Yes. Graph 1 automatically plots a 50%–150% parameter response curve, and you can pin up to 3 custom scenarios.

Are all units consistent with SI standards?

Yes. Each input field specifies its exact SI or engineering unit and converts internally where needed.

Science & Engineering · Electrical & RF Engineering

RF Power dBm, Milliwatts, Watts & 50-Ohm RMS/Peak Voltage Converter: inputs, method, and how to read the result

Convert dBm ↔ mW, Watts, and 50Ω RMS / Vpp RF signal amplitude.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Power Dbm: Signal power level in decibel-milliwatts (dBm).
  • System Impedance Ohms: System characteristic impedance Z₀ (50 Ω RF or 75 Ω video/coax).

What the calculation includes

With the default values shown, RF Linear Power in Milliwatts is 100 mW. The calculation follows dBm to Watts & Volts Physics & Engineering Equation; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Power Dbm from 20 dBm to 22 dBm changes RF Linear Power in Milliwatts from 100 mW to 158.49 mW. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard SI physical constants (g = 9.80665 m/s², c = 299,792,458 m/s, σ = 5.670374×10⁻⁸ W·m⁻²·K⁻⁴).
  • Engineering reference model; apply appropriate safety factors and empirical calibration for critical hardware designs.

Scope: SI / NIST Physics & Engineering Standard Check the assumptions and limitations against your situation before relying on the estimate.

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