If a copper wire is stretched to make it 0.1 % longer. The percentage change in its resistance i

step 1 So the question is saying that if a copper wire is stressed to make 0 .1 % longer than percentag

If a copper wire is stretched to make it 0.1 % longer. The...

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Key Concepts

Resistance Formula

The resistance of a conductor is defined by the formula R = ?L/A, where ? is the resistivity of the material, L is the length, and A is the cross-sectional area. This relationship highlights that resistance is directly proportional to the length of the conductor and inversely proportional to its cross-sectional area, which is a fundamental aspect of how electrical conduction is affected by material dimensions.

Conservation of Volume in Deformed Conductors

When a conductor is stretched and deformed, if its volume remains constant, an increase in its length results in a corresponding decrease in its cross-sectional area. This inverse relationship between length and area, due to the conservation of volume, is critical in understanding how geometric modifications affect the resistance of a conductor.

Approximation of Small Percentage Changes

For small changes in dimensions, such as a minor percentage increase in length, the resulting percentage changes in physical quantities like resistance can be approximated by linearizing the relevant relationships. This technique simplifies the calculation by allowing one to estimate the overall effect on resistance by considering the proportional changes in both length and area.

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