Typically 30 amps.
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Depends on the amperage of the Jacuzzi and if it is 120 or 240 volts.
You need to know the amperage to size the wire. For 220 V at 20 A you would need 12 AWG. At 220 V at 30 A 10 AWG.
Depends upon the voltage. The formula for amperage or (wire size) is Watts / Voltage. If the voltage is 220 volts, then the amperage would be over 400 amps. This would require a large wire size to run it. If it were 440 volts, the amperage would be 1/2 or 200 amps. That would require a smaller wire size. As the voltage goes up, the amperage goes down. At a thousand volts, the amperage would only be 90 amps. A wire gauge or size of a #2 would carry 90 amps for small distances.
Wire is sized by the amperage that it will carry. 5 kW is 5000 watts. The equation to find watts is W = Amps x Volts. The equation to find amps is Amps = Watts/Volts. As you can see a voltage is needed to calculate the amperage. Once the amperage is stated, the wire size can be given for that particular amperage.
The size of the wire is stated by its gauge under American Wire Gauge. Six gauge wire is size 6 AWG.