The ambient insulation rating of wires and cables is imprinted on the wire and cables. The labels on the cables will tell you the wire size, number of conductors and temperature rating of the wires and cables. The higher the cable and wire temperature ratings the higher the amount of current that is allowed to be drawn by the wire and cable according to the electrical code book.
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The typical rating of a hot wire relay contacts is 35 amp
600amps
NEC 310.16 conductor ampacities NEC 240.4(D) For residential installations the smallest wire to be used is 14 AWG (15 amps rating) and for commercial installations the smallest wire to be used is 12 AWG (20 amp rating)
Wire sizing of a feed conductor is based on the amperage that a device draws. To calculate amperage from KVA a voltage of the supply has to be stated. Without this voltage and whether the transformer is single or three phase an answer can not be given.
Sorry, there is no such wire size as "30 gauge" in the AWG (American Wire Gauge) system. For the ampacity rating of all standard conductor sizes, go to Table 310-16 of the National Electric Code. If you mean what wire size will carry 30 amps then a #10 copper wire insulation rating of 90 degree C is rated at 30 amps.