Q. 315.0( 1 Vote )

Four identical rods AB, CD, CF and DE are joined as shown in figure. The length cross-sectional area and thermal conductivity of each rod are ℓ, A and K respectively. The ends A, E and F are maintained at temperatures T1, T2 and T3 respectively. Assuming no loss of heat to the atmosphere, final the temperature at B.



Answer :

Let’s redraw the diagram


Let the temperature at junction B be T.


w14.PNG


Let QA, QC and QB be the heat currents, i.e. rate of flow of heat per unit time in AB, BCE and BDF, respectively.


From fig.


At point B


QA = QC + QB


Now, rate of flow of heat is given by –


w14.PNG


= +


= +


= +


T =


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