Consider a compound slab consisting of two different materials having equal thickness and thermal conductivities K and $$2K$$ respectively. The equivalent thermal conductivity of the slabs taken in series is

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resistance in series is $$Rseries=R1+R2$$ where R $$=$$ lKA, here l is thickness or length, A is area of cross section,  K is coefficient of thermal conductivity when $$2$$ slabs of different coefficient of thermal conductivity K,$$2K$$ ,  having same thickness and area of cross section are taken in series effective thermal conductivity is Kseries, given by, $$l+lKseries=lK+l2K$$ ⇒$$2Kseries=32K$$ ⇒$$Kseries=43K$$

Consider a compound slab consisting of two different materials having equal thickness and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slabs taken in series is

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