First slide

Resistivity and conductivity

Question

In an experiment, current measured is $I = 10.0 A$ , potential difference measured is $V = 100.0 V$ , length of the wire is $31.4 c m$ and the diameter of the wire is $2.00 m m$ (all in correct significant figures). Find resistivity of the wire in correct significant figures. [Take, $π = 3.14$ , (exact)]

Moderate

A

$1.00 \times 10^{- 4} Ω \cdot m$
B

$2.00 \times 10^{- 4} Ω \cdot m$
C

$3.00 \times 10^{- 4} Ω \cdot m$
D

$4.00 \times 10^{- 4} Ω \cdot m$

Solution

$ρ = \frac{π d^{2} V}{4 l I} = \frac{(3.14) {(2.00 \times 10^{- 3})}^{2} (100.0)}{(4) (31.4) (10.0) \times 10^{- 2}}$
$= 1.00 \times 10^{- 4} Ω \cdot m$ (to three significant figures)

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