Halliday, Resnick & Walker — Current and Resistance: Problem 13

13 Nichrome wire consists of a nickel–chromium–iron alloy, is commonly used in heating elements such as on a stove, and has conductivity \(2.0 \times 10^6 \, (\Omega \cdot \text{m})^{-1}\). If a Nichrome wire with a cross-sectional area of \(2.3 \, \text{mm}^2\) carries a current of \(5.5 \, \text{A}\) when a \(1.4 \, \text{V}\) potential difference is applied between its ends, what is the wire's length?