Are you in USA? There is no neutral connection for 240 volt circuit. Just two hot wires from a 2-pole circuit breaker and one ground. How much current does the planned device draw? No more than 80% of the circuit breaker rating is allowed. With a 50 amp, 2-pole circuit breaker, 6 ga wire, 50 amp receptacle, the maximum current is 40 amps. Again, please give a brief explanation.
Are you in the USA? If so, you don't wire it that way. One wire goes to one phase, the other to the second phase, and the neutral and ground appropriately.
Rather than a formula, we use ampacity charts like the source. You will notice you can also use AWG 8 THWN-2 wire, which has higher temperature insulation.
Why don't you just do like everyone else and use an ampacity chart. No one does the calculations, the charts have been available for years.
Wat is the formula to tell what guage wire I need for each power rating? I know each wite will have written on it the max volts.
But I want to know how to find the minimum correct wire guage for each project. I have a 250v 50Amp outlet i'm hooking up, I read that I need 6 guage wires but want to know how that was decided and how I can confirm it mathematically/scientifically.
I know the guage, and know how to hook it up safely. Any answers telling me to hire a professional are not helpful and just keep me from learning.
Shut off the main breaker, dont touch the external power connections, hook up hot to the breaker, neutral to the neutral bar, ground to the ground bar, snap in the breaker, close it up, flip on the main breaker. All after hooking it up to the outlet first of course so you're not messing with wire ends that are connected to the box on the other side.