If the voltage goes up, the size of the wire must also increase.

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Multiple Choice

If the voltage goes up, the size of the wire must also increase.

Explanation:
The size of a wire is driven by current and how much heat the conductor and its insulation can safely handle, not directly by voltage. Ohm’s law and power show that if you increase the voltage for the same delivered power, the current needed drops (I = P/V). Lower current means less I^2R heating and often less voltage drop along the run, so the same wire may still be adequate or even allow a smaller gauge. The only real impact of higher voltage is on insulation and electrical-field considerations, not an automatic requirement for a thicker conductor.

The size of a wire is driven by current and how much heat the conductor and its insulation can safely handle, not directly by voltage. Ohm’s law and power show that if you increase the voltage for the same delivered power, the current needed drops (I = P/V). Lower current means less I^2R heating and often less voltage drop along the run, so the same wire may still be adequate or even allow a smaller gauge. The only real impact of higher voltage is on insulation and electrical-field considerations, not an automatic requirement for a thicker conductor.

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