Two identical metal wires of thermal conductivities K 1 and K 2 respectively are connected in series. The effective thermal conductivity of the combination is:

Question

Two identical metal wires of thermal conductivities K 1 and K 2 respectively are connected in series. The effective thermal conductivity of the combination is: (A) (2 K 1 K 2/ K 1+ K 2) (B) ( K 1+ K 2/2 K 1 K 2) (C) ( K 1+ K 2/ K 1 K 2) (D) ( K 1 K 2/ K 1+ K 2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2a9954a77bf0904bab54cd20f5c8a91e-.png" /> R text eff =(l/ K 1 A )+(l/ K 2 A )=(2 l/ K eg A ) K eq =(2 K 1 K 2/ K 1+ K 2)

Q. Two identical metal wires of thermal conductivities $K_{1}$ and $K_{2}$ respectively are connected in series. The effective thermal conductivity of the combination is:

$\frac{2 K _{1} K _{2}}{K _{1} + K _{2}}$

$\frac{K _{1} + K _{2}}{2 K _{1} K _{2}}$

$\frac{K _{1} + K _{2}}{K _{1} K _{2}}$

$\frac{K _{1} K _{2}}{K _{1} + K _{2}}$

$R_{eff} = \frac{l}{K _{1} A} + \frac{l}{K _{2} A} = \frac{2 l}{K _{e g} A}$
$K_{e q} = \frac{2 K _{1} K _{2}}{K _{1} + K _{2}}$

Q. Two identical metal wires of thermal conductivities K1​ and K2​ respectively are connected in series. The effective thermal conductivity of the combination is:

K1​+K2​2K1​K2​​

2K1​K2​K1​+K2​​

K1​K2​K1​+K2​​

K1​+K2​K1​K2​​