One hundred meters of 2.00 mm diameter wire has a resistance of 0.532 $\Omega$.What is the resistivity of the material from which the wire is made? A) 1.59 $\times$ 10 ⁸ $\Omega$ m B) 1.67 $\times$ 10 ⁸ $\Omega$ m C) 2.35 $\times$ 10 ⁸ $\Omega$m D) 2.65 $\times$ 10 ⁸ $\Omega$ m E) 5.40 $\times$ 10 ⁸ $\Omega$·m

Question

Quizplus · Accepted Answer

The resistivity $\rho$ can be calculated using the formula $\rho = R \cdot \frac{A}{L}$, where $R$ is resistance, $A$ is the cross-sectional area, and $L$ is the length. The area $A$ is $\pi \cdot (d/2)^2$. Substituting the given values, $\rho = 0.532 \cdot \frac{\pi \cdot (0.002/2)^2}{100}$, which simplifies to approximately 1.67 * 10^-8 $\varOmega$ m.

One Hundred Meters of 2 Ω\OmegaΩ What Is the Resistivity of the Material from Which the Resistance

One Hundred Meters of 2 $\Omega$ What Is the Resistivity of the Material from Which the Resistance