1. Tardigrade
  2. Question
  3. Physics
  4. Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities K and 2 K, respectively. The equivalent thermal conductivity of the slab is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities $K$ and $2\, K,$ respectively. The equivalent thermal conductivity of the slab is

AIPMTAIPMT 2003

Solution:

image
$\frac{2 \ell}{ K _{ eq }( A )}=\frac{\ell}{2 KA }+\frac{\ell}{ KA }$
$\left(\right.$ series connection $\left.R = R _{1}+ R _{2}\right)$
$\Rightarrow K _{ eq }= \frac{4}{3}\, K$