An engineer needs to increase the steady-state rate of heat conduction through an…

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

An engineer needs to increase the steady-state rate of heat conduction through an aluminum bar by a factor of six while keeping both the material and the temperature difference across the bar unchanged. Mechanical constraints require that the product of the bar’s cross-sectional area AA and its length LL remains constant. By what factor must the length LL be multiplied to meet the goal?

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