sqrt(3800W * 8 ohms) = 174.4V, 174.4 / 8 = 21.8A. (Presumably, these are sine wave RMS values, so the peak voltage is actually 246.6V. These lines, at full power, are a substantial shock hazard!) 174.4V^2 / 4.3kohms = 7.07W. This assumes voltage is constant (a reasonable assumption).
(8 ohm / 4.3kohm) * 3800W = 7.07W. The ratio of impedances equals the ratio of powers, for equal voltage.
These are the same thing, derived from V = I*R and P = V*I.
Most amplifiers are built for constant voltage output, and as long as output current is within rated limits, the amplifier will work fine. It's probably fine to put a 4.3kohm load on it...but more to the point is, why?
Tim
-- Deep Fryer: A very philosophical monk. Website @
No wayy.... :P The surge power to charge the reservoir caps..?? Geezz.. :P
IIRC another marketing power spec is what I call 'full load power'. That's where the power spec is at,say..,1 ohm but the amp is typically used at 8 or 4 ohm load.
It means only that they tested the amp with 6 Ohm resistive load. The popular misconception is that the speaker resistance at DC is its impedance. The speaker impedance is very much reactive and dependent on the frequency; so the trivial calculations for the power and the current vs drive voltage may be wrong by several times.
Vladimir Vassilevsky DSP and Mixed Signal Design Consultant
I did a 5 second Google search to find an example of some marketing foolery with audio amp power.
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Link to a 1000w car amplifier. PB1000 The total power sounds so impressive :P
500Watts/channel @4ohm or 1000watts bridged @4ohm.
On the spec link. Power: 500Watts/ch at 14.4VDC at 1khz (2 channels) Maximum current draw is 15A Stereo mode load impedance is 2 to 4 ohms. Bridged mode load impedance is 4 to 8 ohms.
15A max current draw???? wtf???
14.4VDC * 15A = 216Watts total! How the crap do you get Pout=1000W when the amp fuse blows at Pin=216W (assuming fused at 15A).
1000Watts bridged on 4 ohms?? Does a matching 4 ohm speaker exist with as much power as my microwave oven??? I was surprised to find a 900W subwoofer.
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Wow! I should be able to cook burgers on this subwoofer. :P
But read the fine print. " The power capacity is determined according to AES2-1984 standard. Program power is defined as the transducer's ability to handle normal music program material."
I suspect the trail then goes into the land of 'music power'. :P
Merely 1kWt? I developed car amplifiers rated at 10kWt of continuous power :)
A woofer rated at 1kWt is rather typical. But, that 1kWt rating assumes that the woofer behaves like a resistor of 4 Ohms. The actual heat dissipation in the woofer is several times less due to the reactance.
Vladimir Vassilevsky DSP and Mixed Signal Consultant
I can't imagine the speaker Z being significantly reactive at low frequencies. Do you think a 4 ohm 1000W woofer can handle a 63Vrms 20Hz sine wave continuously? I'm guessing not. This is not musical and I think the spec is 'music power'.
1000 watt-tons certainly sounds like a lot of power.
Seems like one would want a bit higher efficiency, though I also suspect one wouldn't want anything close to 1000W of sound in a room either. OTOH, I suspect that you've missed the point.
An ideal, efficient transducer would absorb 1 KW without heating, just transforming electrical energy into mechanical energy. Of course, real transducers are not 100% efficient, so some heating is expected.
On the other hand, the resistive part of the input impedance is a measure on how well energy is converted instead of stored. And it does not get warm :) Again, this is in the ideal case...
If you apply 63Vrms to a typical 4 Ohm subwoofer (that is supposed to be
1kW), it will drain at the order of 200VA of power. From that 200VA about 10W is converted to the sound, and the rest goes into the heating of the voice coil.
Vladimir Vassilevsky DSP and Mixed Signal Design Consultant
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