Questions
A cylinder of radius R made of material of conductivity is surrounded by a cylindrical shell of internal radius R and outer radius 2R made of material of conductivity , the two ends of the system are kept at two different temperatures. If there is no loss of heat from the surface, the effective conductivity of the system is
detailed solution
Correct option is C
Both are parallelthe effective coefficient of thermal conductivity for a parallel combination of conductors is KParallel=K1A1+K2A2A1+A2 base area of inner cylinder isA1=πR2area of outer cylinder is A2=π(2R)2-πR2A2=3πR2 KP=K1.πR2+K2.3πR2πR2+3πR2 Keffective=KParallel=K1+3K24Similar Questions
Two rods of length and and coefficients of thermal conductivities and are kept touching each other. Both have the same area of cross-section. The equivalent of thermal conductivity is
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