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.


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 –


= +

= +

= +

T =

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