Question

Consider the two insulating sheets with thermal resistances R₁ and R₂ as shown in figure. The temperature q is –

• A. $\frac{\theta_{1}\theta_{2}R_{1}R_{2}}{(\theta_{1} + \theta_{2})(R_{1} + R_{2})}$
• B. $\frac{\theta_{1}R_{1} + \theta_{2}R_{2}}{R_{1} + R_{2}}$
• C. $\frac{(\theta_{1} + \theta_{2})R_{1}R_{2}}{R_{1}^{2} + R_{2}^{2}}$
• D. $\frac{\theta_{1}R_{2} + \theta_{2}R_{1}}{R_{1} + R_{2}}$

Answer 1

Answer: (D)

$\frac{\theta_{1}R_{2} + \theta_{2}R_{1}}{R_{1} + R_{2}}$

Answer 2

H₁ = H₂ or $\frac{\theta_{1}–\theta}{R_{1}}$ = $\frac{\theta –\theta_{2}}{R_{2}}$ \ q =$\frac{\theta_{1}R_{2} + \theta_{2}R_{1}}{R_{1} + R_{2}}$