I bought some plug ends to hook up to my outlet

I wanted to connect the plug with some wires, I was told that I needed these type of wires 
I however wanted to use low voltage wires like these 
It will be hooked up to a transformer that will output 6 volts, and then connected to a rectifier if I were to use the low voltage wires instead of the thick ones would that cause any issues? I believe that the amount of power that enters the system is the same as it leaves so I believe that the low voltage wires shouldn't cause issues as long as its under 1 Amp