Suppose an electrical wire is replaced with one having every linear dimension doubled (i. e. the length and radius have twice theri original values). the wire now has a resistance which depends only on the material. the same resistance as before. less resistance than before. a resistance which can't be further predicted with the given information. more resistance than before.

The wire now has less (the half resistance) than before.

Explanation:

The resistance in a wire is calculated as:

Were:

R is resistance

is the resistance coefficient

l is the length of the material

s is the area of the transversal wire, in the case of wire will be circular area ().

So if the lenght and radius are doubled, the equation goes as follows:

So finally because the circular area is a square function, the resulting equation is half of the one before.

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