Six identical rods are arranged as shown in t | vedclass

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Question

Let the thermal resistance of each rod be $\mathrm{R}$. The two resistance connected along two paths from $\mathrm{B}$ to $\mathrm{C}$ are equivalent

Vedclass · Accepted Answer

$140$

Vedclass · Answer

Let the thermal resistance of each rod be $\mathrm{R}$. The two resistance connected along two paths from $\mathrm{B}$ to $\mathrm{C}$ are equivalent to $2 \mathrm{R}$ each and their parallel combination is $\mathrm{R}$. Effective thermal resistance between $\mathrm{B}$ and $D=2 R$

temperature of inteface $	heta=\frac{R_{1} 	heta_{2}+R_{2} 	heta_{1}}{R_{1}+R_{2}}$

$	heta=\frac{R 	imes 20+2 R 	imes 200}{R+2 R}=\frac{420}{3}=140^{\circ} C$

Six identical rods are arranged as shown in the figure. The temperature of the junction $B$ will be......... $^oC$

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