Three rods each of same length and cross section are joined in series. The thermal conductivity of the materials are k, $$2k$$ and $$3k$$ respectively. If one end is kept at $$300$$ $$0C$$ and the other at $$100$$ $$0C$$. What would be the temperature of the junction which comes before the end at $$100$$ $$0C$$ in the steady state. Thermal conductivity of copper is $$400$$ $$WmK-1$$.

Question

Infinity Learn · Accepted Answer

Thermal resistance $$R=lkA1keq=1k+12k+13k=6+3+26k=116kTj1-TiTf-Ti=keq3k$$ $$Tj1-100300-100=6k1113k=211$$ $$Tj1=40011+100=136.4$$ C  $$0$$

Conduction

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Conduction

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Thermal resistance R=lkA1keq=1k+12k+13k=6+3+26k=116kTj1-TiTf-Ti=keq3k Tj1-100300-100=6k1113k=211 Tj1=40011+100=136.4 C 0

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