Resistors and Ohm's Law Video Lessons

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Problem: A uniform wire of resistance R is stretched unit its length doubles. Assuming its density and resistivity remain constant, what's its new resistance?

FREE Expert Solution

Resistance:

R=ρlA where ρ is the resistivity, l is the length, and A is the cross-sectional area.

When the wire is stretched to double its length, the cross-sectional area will be reduced by half.

Since the density remains constant, the volume will be constant after the wire is stretched. 

This means that,

Vi = Vf

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A uniform wire of resistance R is stretched unit its length doubles. Assuming its density and resistivity remain constant, what's its new resistance?

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