Three rods of material ‘x’ and three rods of material y are connected as shown in figure. All the rods are of identical length and cross-section. If the end A is maintained at 60°C and the junction E at 10°C, find effective Thermal Resistance. Given length of each rod=l, area of cross-section=A, conductivity of x=K and conductivity of y=2K.

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$\frac{4 l}{3 KA}$

$\frac{7 l}{6 KA}$

$\frac{4 KA}{3 l}$

$\frac{7 KA}{3 l}$

answer is B.

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Detailed Solution

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$R_{eq} = R_{AB} + R_{BE}$
$R_{BE} = \frac{2 R \times R}{2 R + R} = \frac{2 R}{3} R_{eq} = \frac{R}{2} + \frac{2 R}{3} = \frac{7 R}{6} = \frac{7 l}{6 KA}$

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