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Amp Power vs Impedance

See how much power an amplifier makes at different impedances and how well it matches your subwoofer's RMS rating.

Inputs

W
Rated at
Ω
W

Continuous power handling from the driver’s spec sheet.

Power @ 2Ω
1,000W
Output voltage
44.7Vrms
Output current
22.4Arms
Amp vs sub
167%
+2.2 dB
!
The amp can deliver 167% of the sub’s RMS rating. Set gains carefully, use a subsonic filter, and avoid clipping.

Power at different loads (ideal)

1 Ω
2,000 W
2 Ω
1,000 W
4 Ω
500 Wrated
8 Ω
250 W
2 Ω
1,000 Wyours
Sub RMS rating 600 W

How it works

An amplifier is (roughly) a constant-voltage source: it can swing a fixed maximum voltage, and the load impedance decides how much current, and therefore power, it delivers. Halve the impedance and the current doubles, so ideal power doubles too.

P = V² / Z = I² · Z
V = √(P · Z)        I = √(P / Z)

P₂ = P₁ · (Z₁ / Z₂)   (ideal, voltage-limited)

In real life, small power supplies, thermal limits and current limits stop amplifiers from exactly doubling at each step, many get 1.5–1.8× going from 4 Ω to 2 Ω, and 1 Ω rated amps often use dedicated output stages. Treat the numbers as the best case, and use the amp’s spec sheet where it lists specific loads.

Matching amp to sub: the sweet spot is an amp delivering between about 75% and 150% of the sub’s RMS rating. A little more power than the sub can handle is okay for dynamic music if you set gain carefully, but a clipping amp (square-wave distortion) kills voice coils faster than a large clean amp ever will.

The decibel difference tells you how far the amp is from the sub’s limit: +3 dB is double the power; ±1 dB is barely audible.

@ 2Ω
1,000W
Amp/Sub
167%