Electrical wire size is directly dependant on the load amperage that is connected to it. The higher the load amperage, the larger the cross sectional area of the wire needs to be. The connected amperage to a conductor is determined by a group of electrical experts and their results are then written into the latest addition of the electrical code book of the country in which you live.
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It is determine by the load or amperage required.
15 amp = #14 wire
20 amp = #12
30 amp = #10
40 amp = #8
55 amp = #6
100 amp = #3
200 amps =#3/0
Cable sizes for electrical installations are determined by the load current. The load current is obtained from the manufactures nameplate that is on the device to be connected. The electrical code book states what the amp capacity (ampacity) for specific wire sizes will be.
The current-carrying capacity of a cable depends on a number of things in addition to its cross-sectional area; these include the type of conductor, number of cores, type of insulation, whether or not it is armoured, method of installation, etc. Accordingly, to determine its current-carrying capacity, you will need to refer to your national electrical code. For example, in the UK, BS 7671:2008 Requirements for Electrical Installations contains tables for all standard cable types, specifying current-carrying capacity, voltage drops, etc.
To answer this question the size of the cable or the amperage of the load is needed to calculate the correct wire size and connectors to fit the cable.
To answer this question the voltage is needed.
How to calculate a cable size of 3kw motor
You need to know the amperage requirement of the pump and then you can calculate the wire size.