Question

Two different metal rods of same length and same cross-sectional area having thermal conductivity K
and 3K respectively are joined in series. The temperatures at the two free end of the combination are
100˚C and 0˚C. First establish the necessary mathematical formula and then calculate the temperature
at the junction and the equivalent thermal conductivity of the combination

Answer 1

$Given,</p><p></p><p>H </p><p>1</p><p> </p><p> =H </p><p>2</p><p> </p><p> =H </p><p>3</p><p> </p><p> </p><p></p><p>∴ </p><p>KA</p><p>l</p><p> </p><p> </p><p>200−θ </p><p>1</p><p> </p><p> </p><p> </p><p> = </p><p>2KA</p><p>l</p><p> </p><p> </p><p>θ </p><p>1</p><p> </p><p> −θ </p><p>2</p><p> </p><p> </p><p> </p><p> = </p><p>3KA</p><p>l</p><p> </p><p> </p><p>θ </p><p>2</p><p> </p><p> −100$

Answer 2

Answer:

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