A long tungsten heater wire is rated at \( 3 \mathrm{kWm}^{-1} \) and is \( 5.0 \times 10^{-4} \...

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A long tungsten heater wire is rated at \( 3 \mathrm{kWm}^{-1} \) and is \( 5.0 \times 10^{-4} \mathrm{~m} \) in diameter. It is embedded along the axis of a ceramic cylinder of diameter \( 0.12 \mathrm{~m} \). When operating at the rated power, the wire is at \( 1500^{\circ} \mathrm{C} \); the outside of the cylinder is
P at \( 20^{\circ} \mathrm{C} \). Find the thermal conductivity of the ceramic.
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