Two rods A and B of equal lengths. Each rod has its ends at temperatur

1.	Two rods A and B of equal lengths. Each rod has its ends at temperature T1 and T2. What is the condition that will ensure equal rates of flow of heat through the rods A and B?
Answer» Since, Q = KA(θ₁ − θ₂)t/x \(\frac{Q_A}{t}\) = K_AA_A(θ₁ − θ₂)/x \(\frac{Q_B}{t}\) = K_BA_B(θ₁ − θ₂)/x For quale rates of flow \(\frac{Q_A}{t}\) = \(\frac{Q_B}{t}\) or K_AA_A = K_BA_B.

Two rods A and B of equal lengths. Each rod has its ends at temperature T1 and T2. What is the condition that will ensure equal rates of flow of heat through the rods A and B?

Answer»

Since,

Q = KA(θ₁ − θ₂)t/x

\(\frac{Q_A}{t}\) = K_AA_A(θ₁ − θ₂)/x

\(\frac{Q_B}{t}\) = K_BA_B(θ₁ − θ₂)/x

For quale rates of flow

\(\frac{Q_A}{t}\) = \(\frac{Q_B}{t}\)

or K_AA_A = K_BA_B.