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Example 22 13 A cylinder of radius R made of a material of conductivity K...

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Example 22 13 A cylinder of radius R made of a material of conductivity K is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K The two ends of the combined system are maintained at two different temperatures There is no loss of heat across the cylindrical surface and the system is in steady state The effective thermal conductivity of the system is JEE 1998 a K K c K 3K 4 b K K K K d 3K K 4 Solution Let R and R be the thermal resistances of inner and outer portions Since temperature difference at both ends is same the resistances are in parallel Hence or bow 2R option is c Fig 22 16 1 RR R 1 R 1 KA KA 1 K R K 4 R K R K 3 R 1 1 1 ban K 3K 4 09 01 SS olgm 028 no

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