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Electricity

The Resistance of Wires - Thickness.

The resistance of a wire depends on its thickness.
The thinner the wire, the higher its resistance.
You must use thick wire to carry a large current,
or the wire will get too hot and melt.

The relationship between resistance and thickness is not straightforward,
halving the thickness does not double the resistance
(compare this with the relationship to length).
It is the cross-sectional area of the wire, not its thickness,
which directly affects its resistance.

The cross-sectional area is what you get
if you cut straight through the wire,
at right angles to its length, and look at the cut surface.
If the wire is round (most wires are),
then the cross-section is a flat circle and the area is pr2.
Doubling the area will halve the resistance.

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