Three rods of identical cross sectional area and made from the same material form the sides of an isocles triangle BC right angled at B.The points A&B are maintained at temperature T and Root 2 T respectively.In the steady state,the temperature of the point C is Tc.Assuming only heat conduction takes pace,Tc/T=?

Question

Three rods of identical cross sectional area and made from the same material form  the sides of an isocles triangle BC right angled at B.The points A&B are maintained at temperature T and Root 2 T respectively.In the steady state,the temperature  of the point C is Tc.Assuming only heat conduction takes pace,Tc/T=?

dls · Answer

@Vincent-Lyon.Fr @Mashy @Yahoo! @shubhamsrg

vincent-lyon.fr · Answer

Is it:  $Tc/T = \Large \frac {3}{\sqrt 2 +1}$ ?

dls · Answer

yeah..how?

vincent-lyon.fr · Answer

There, thermal resistances are proportional to length of rod.
BC and CA are in series.

That means that temperature difference is proportional to length of rod.

So TB-TC is to BC what TC-TA is to CA