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A piece of wire stretched such that its length increases and its radius decreases will tend to have its resistance increase.

The formula for this is:

R = ρL/A

where ρ = resistivity of the material composing the wire,

L = length of the wire, and

A = area of the conducting cross section of the wire.

It can easily be seen that as area decreases resistance gets higher. In the case proposed the wire length is not reduced as it is stretched to reduce the area, this increases the resistivity as well.

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Q: A piece of wire is stretched such that its length increases and its radius decreases the resistance of the wire will tend to?
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