The resistance of a 100-cm wire of cross sectional area 2 × $10 ^ { - 6 }$ $m ^ { 2 }$ is 400 ?. What is the resistivity of the material from which this wire is made?
A)0.80 × $10 ^ { - 4 }$ ? ? m
B)8.0 × $10 ^ { - 4 }$ ? ? m
C)0.80 × $10 ^ { - 5 }$ ? ? m
D)0.80 × $10 ^ { - 6 }$ ? ? m
E)8.0 × $10 ^ { - 6 }$ ?v

Question

Quizplus · Accepted Answer

The resistivity ($\rho$) is calculated using the formula $\rho = R \times \frac{A}{L}$, where $R$ is resistance, $A$ is cross-sectional area, and $L$ is length. Substituting the given values: $\rho = 400 \times \frac{2 \times 10^{-6}}{1} = 8.0 \times 10^{-4}$ ? ? m.

The Resistance of a 100-Cm Wire of Cross Sectional Area 10−610 ^ { - 6 }10−6

The Resistance of a 100-Cm Wire of Cross Sectional Area $10 ^ { - 6 }$