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Chapter 20: Q12CQ (page 731)

Explain why R=R0(1+伪鈻�T)for the temperature variation of the

resistance R of an object is not as accurate as 蚁=蚁0(1+伪鈻�T)which gives the

temperature variation of resistivity 蚁.

Short Answer

Expert verified

R0is not a constant. So the resistance-temperature dependency relationship is

incorrect.

Step by step solution

01

Definition of Resistivity

The electrical resistivity of a substance is a fundamental feature that

determines how well it resists electric current. A substance with a low

resistivity allows electric current to flow freely. The Greek letter蚁is widely

used to indicate resistance.

02

Explanation

The resistivity and resistance are linked as follows:

R=蚁IA

Where I is the conductor's length and A its cross-section. We can get the

relationship between resistivity and temperature by multiplying it by I/A.

蚁IA=蚁0IA1+伪鈻�TR=R01+伪鈻�T

Where R0=蚁0IAbecause the dimensions of the conductor fluctuate with

temperature. We can see that R0is not constant, so the resistance-temperature

dependency relationship is incorrect.

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