Four rods with different radii $ r $ and lengths $ \ell $ are used to connect to heat reservoirs at different temperatures. Which one will conduct the most heat?

Question

$ r = 1 \, \text{cm}, \, \ell = 2 \, \text{m} $

$ r = 1 \, \text{cm}, \, \ell = \frac{1}{2} \, \text{m} $

$ r = 2 \, \text{cm}, \, \ell = 2 \, \text{m} $

$ r = 2 \, \text{cm}, \, \ell = \frac{1}{2} \, \text{m} $

Solution

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