Answer
See explanation.
Work Step by Step
The power required is roughly the same, and in terms of the voltage and resistance, the power can be expressed as $P=\frac{V^2}{R}$.
Solving for the resistance, $R=\frac{V^2}{P}$. If the voltage is doubled from 12 volts to 24 volts while the power stays the same, the required resistance increases by a factor of 4, and thinner, higher-resistance wiring can be used. This saves weight in the airplane's systems.
