Chapter 20: Q12CQ (page 731)

Explain why $R = R_{0} (1 + α △ T)$ for the temperature variation of the
resistance R of an object is not as accurate as $ρ = ρ_{0} (1 + α △ T)$ which gives the
temperature variation of resistivity $ρ$ .

Short Answer

Expert verified

$R_{0}$ is not a constant. So the resistance-temperature dependency relationship is

incorrect.

Step by step solution

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 $ρ$ is widely

used to indicate resistance.

Explanation

The resistivity and resistance are linked as follows:

$R = ρ \frac{I}{A}$

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 $I / A$ .

$ρ \frac{I}{A} = ρ_{0} \frac{I}{A} (1 + α △ T) R = R_{0} (1 + α △ T)$

Where $R_{0} = ρ_{0} \frac{I}{A}$ because the dimensions of the conductor fluctuate with

temperature. We can see that $R_{0}$ is not constant, so the resistance-temperature

dependency relationship is incorrect.

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Explain why $R = R_{0} (1 + α △ T)$ for the temperature variation of the
resistance R of an object is not as accurate as $ρ = ρ_{0} (1 + α △ T)$ which gives the
temperature variation of resistivity $ρ$ .

Short Answer

Step by step solution

Definition of Resistivity

Explanation

One App. One Place for Learning.

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Explain why R=R0(1+α△T)for the temperature variation of the resistance R of an object is not as accurate as ρ=ρ0(1+α△T)which gives thetemperature variation of resistivity ρ.

Short Answer

Step by step solution

Definition of Resistivity

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Electromagnetism

Waves Physics

Space Physics

Translational Dynamics

Scientific Method Physics

Study anywhere. Anytime. Across all devices.

Explain why $R = R_{0} (1 + α △ T)$ for the temperature variation of the
resistance R of an object is not as accurate as $ρ = ρ_{0} (1 + α △ T)$ which gives the
temperature variation of resistivity $ρ$ .