Four identical rods which have thermally insulated lateral surfaces are joined at point A. Points B, C, D and E are connected to large reservoirs. If heat flows into the junction from point B at a rat

Question

Four identical rods which have thermally insulated lateral surfaces are joined at point A. Points B, C, D and E are connected to large reservoirs. If heat flows into the junction from point B at a rate of 1W and from point C at 3 W towards A , flows out from D at 5 W , which relation(s) is/are correct for temperature of these points?

TestHub · Accepted Answer

At A, 1 W enters from B and 3 W from C, while 5 W leaves toward D.
$1 + 3 + q_{E A} = 5 \Rightarrow q_{E A} = 1 W$
Thus 1 W also enters from E.
$T_{B} - T_{A} = R, T_{C} - T_{A} = 3 R, T_{E} - T_{A} = R$
$T_{A} - T_{D} = 5 R$
Therefore A, C and D are correct.

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