A composite rod made of three rods of equal length and equal cross section as shown in figure. Thermal conductivity of the materials of the rods are \( \frac{k}{2}, 5 k \) and \( k \) respectively. The ends ' \( A \) ' and ' \( B \) ' are at constant temperature. All heat entering the face ' \( A \) ' goes out of end ' \( B \) '. The effective thermal conductivity of the composite bar is \( \frac{N k}{16} \). Find the value of \( N \).

Question

A composite rod made of three rods of equal length and equal cross section as shown in figure. Thermal conductivity of the materials of the rods are \( \frac{k}{2}, 5 k \) and \( k \) respectively. The ends ' \( A \) ' and ' \( B \) ' are at constant temperature. All heat entering the face ' \( A \) ' goes out of end ' \( B \) '. The effective thermal conductivity of the composite bar is \( \frac{N k}{16} \). Find the value of \( N \).

Comments

Incomplete question.