If I try to peek behind the curtain I will assume that we are talking about 120 volts as standard house voltage...
Then Current = 1000 / 120 = 8.3 amps if Power Factor equals 1 or a pure resistance load. This can be handled by 14 AWG wire if the breaker the device is on is rated at 15 Amps.
But if the length of the wiring run is much longer than inside a normal home - if, say, you are planning to use the amplifier at an open-air event - you should use seriously consider using thicker wire to avoid overheating the thin 14 AWG wire together with a serious voltage loss, so consult the NEC wiring tables...
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As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.
Before you do any work yourself,
on electrical circuits, equipment or appliances,
always use a test meter to ensure the circuit is, in fact, de-energized.
IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB
SAFELY AND COMPETENTLY
REFER THIS WORK TO QUALIFIED PROFESSIONALS.
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