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DB ↔ Watt-Rechner

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Das dB ↔ Watts Calculator ermöglicht Benutzern das Konvertieren decibels (dB) to watts (W) and vice versa. Decibels are used to express Werkzeuge ratios logarithmically, was sie nützlich macht audio engineering, telecommunications, electronics, and radio frequency applications.

This calculator simplifies signal strength comparisons, power level assessments, and amplifier gain/loss evaluations, was es unerlässlich macht für engineers, technicians, and researchers.

Formula for DB ↔ Watts Calculator

1. Convert dB to Watts

Since decibels measure power changes logarithmically, the absolute power in watts is calculated as:

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Formula for dB to Watts (Absolute Power):

Watts = Reference Power × 10^(dB / 10)

Kennzahlen:

  • Reference Power (W) = Typically 1W, Falls nicht anders angegeben
  • dB = Die Dezibel value to be converted

2. Convert Watts to dB

To express power levels in decibels:

Formula for Watts to dB:

dB = 10 × log10(Watts / Reference Power)

Kennzahlen:

  • Watts = The power level to be converted
  • Reference Power (W) = Typically 1W, unless otherwise defined

Reference Table – Common dB to Watts Conversions

To make conversions easier, here is a pre-calculated reference table showing commonly used decibel values and their corresponding wattage:

Dezibel (dB)Power (Watts) at 1W ReferencePower Multiplier
-30 DB0.001 W0.001x
-20 DB0.01 W0.01x
-10 DB0.1 W0.1x
0 dB1 W1x
+3 dB2 W2x
+6 dB4 W4x
+10 dB10 W10x
+20 dB100 W100x
+30 dB1,000 W1,000x

Diese Tabelle hilft audio engineers, radio frequency technicians, and power system designers estimate signal strength changes without complex calculations.

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Example of DB ↔ Watts Calculator

1. Convert +10 dB to Watts

Using the dB to Watts formula:

Watts = 1W × 10^(10 / 10)
Watts = 1W × 10^1 = 10 W

A +10 dB increase corresponds to a 10x power increase, Was 10 Watt.

2. Convert 50W to dB

Using the Watts to dB formula:

dB = 10 × log10(50 / 1)
dB = 10 × log10(50) ≈ 16.99 dB

Dies bedeutet, dass 50 watts correspond to approximately +17 dB relative to 1 watt.

Die häufigsten FAQs

1. Why are decibels used instead of watts?

Decibels allow for easier comparison of very large or very small power values. Since power increases exponentiell, dB values provide a manageable scale for expressing gains and losses.

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2. What happens when dB is negative?

Negative dB values indicate a decrease in power relative to the reference level. For example, -3 DB means the power is half the reference level.

3. Can I use this calculator for sound power and RF signals?

Yes! This calculator works for audio power, RF signal strength, amplifier gains, and general power level Messungen.

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