The resistivity of the plantinum wire is 1.06 × 10⁻⁷Ωm
Calculating Resistivity
From the question,
We are to determine the resistivity of the wire
Resistivity can be calculated from the formula
\(\rho = \frac{RA}{l}\)
Where \(\rho\) is the resistivity of the wire
R is the resistance
A is the cross-sectional area
and \(l\) is the length of the wire
From the given information,
R = 0.757 ohm (Ω)
A = 3.50 × 10⁻⁶ m²
\(l\) = 25.0 m
Putting the parameters into the formula, we get
\(\rho = \frac{0.757 \times 3.50 \times 10^{-6} }{25}\)
\(\rho = 0.10598 \times 10^{-6}\)
\(\rho = 1.0598 \times 10^{-7}\)
\(\rho \approx 1.06 \times 10^{-7} \ \Omega m\)
Hence, the resistivity of the plantinum wire is 1.06 × 10⁻⁷Ωm
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