A rod CD of thermal resistance $$5.0$$ $$K/W$$ is joined at the middle of an identical rod AB as shown in fig. The ends A, B and D are maintained at $$100$$°C, $$0$$°C and $$25$$°C respectively. The temperature of junction C will be

Question

Infinity Learn · Accepted Answer

We know that thermal resistance $$R=l/KALet$$ heat currents between AC, CB and CD be i, $$i1$$ and. $$i2$$ respectively as shown in the fig. (3).Then $$i=I$$˙$$1+i2So$$,  $$100$$−$$T(R/2)=T$$−$$0(R/2)+T$$−$$25Ror$$     $$200$$−$$2T=2T+(T$$−$$25)or$$     $$225=5T$$  or  $$T=45$$∘C

A rod CD of thermal resistance 5.0 K/W is joined at the middle of an identical rod AB as shown in fig. The ends A, B and D are maintained at 100°C, 0°C and 25°C respectively. The temperature of junction C will be

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