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You can compare a power supply to a waterfall of energy.

The high of the waterfall is the output voltage, and the quantity of water in the river is the current intensity.

The power generate is a combination of the intensity and the voltage: P=UI (the effective power is the result of the multiplication of the voltage and the intensity).

That explain why higher the voltage is, less intensity is needed to have the same power.

It is the same in a waterfall, higher it is, less water you need to make a mill turning.

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