Two wires have the same cross-sectional area. One is tungsten, which has a temperature coefficient of resistivity of 0.0045 °C-1. The other is carbon, for which α = -0.0005 °C-1. The resistivities of Wo and C at 20°C are 5.6E-8 and 3.5E-5 Wm respectively. The sum of the resistances of the two wires does not change with temperature. What is the ratio of the lengths of the tungsten and carbon wires? Ignore any changes in dimensions due to thermal expansion.

Two wires have the same cross-sectional area. One is tungsten, which has a temperature coefficient of resistivity of 0.0045 °C-1. The other is carbon, for which α = -0.0005 °C-1. The resistivities of Wo and C at 20°C are 5.6E-8 and 3.5E-5 Wm respectively. The sum of the resistances of the two wires does not change with temperature. What is the ratio of the lengths of the tungsten and carbon wires? Ignore any changes in dimensions due to thermal expansion.

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