You must complete the circuit of Figure P31.58 in such a way that it draws a current of \(0.300 \mathrm{~A}\) from the battery. The battery maintains a potential difference of \(10.0 \mathrm{~V}\) with no load, but has an internal resistance of \(R_{\text {batt }}=18.0 \Omega\). The only material you have is \(20.0 \mathrm{~mm}^{3}\) of nichrome, and you must use all of it. If your plan is to form the nichrome into a cylindrical resistor, what must the cylinder length and cross-sectional area be? [The conductivity of nichrome is \(6.7 \times 10^{5} \mathrm{~A} /(\mathrm{V} \cdot \mathrm{m})\).]

Data from Figure P31.58

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