How Does Stretching a Wire Affect Its Resistance?

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Stretching a wire increases its length and decreases its cross-sectional area, leading to a rise in resistance. The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area, as described by the equation R = ρ(L/A). In this case, doubling the length from 1 m to 2 m will result in a significant increase in resistance. The resistivity of the material remains constant, but the changes in length and area directly affect the overall resistance. Understanding these relationships is crucial for calculating the new resistance after stretching.
cseet
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Hi All,

question:
A wire of length 1 m has a resistance of 0.3 ohm. it is uniformly stretched to length of 2 m. what is the new resistanct?

I'm not sure how to express the concept / equation?

pls guide me...
Cseet
 
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I'm not sure, but I'd guess that the resistance is inversely proportional to the length of the wire.
 
Resistance is directly proportional to the length of the wire, and inversely proportional to the cross sectional area.
As the length increases, so does the resistance.
As the cross sectional area decreases (wire getting thinner) the resistance will increase.
R=p(L/A) Where p is the resistivity of the wire. This is a characterstic of the material itself to either conduct or insulate. It is not changed in your question.
However, by this equation you can see the effect of the length (L) and the Area (A) on the resistance of the wire.
I hope this helps you.
 

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