Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A copper rod long and a steel rod long, each with a cross-section of , are joined end to end and lagged. The copper's free end is at and the steel's at . Find the heat flow and the temperature of the joint. (: copper , steel .)
Conduction: ; thermal resistance , adding for layers in series. : copper , aluminium , steel , glass .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Resistances. Copper: . Steel: .
Step 2. Heat flow. .
Step 3. Joint. .
Answer: ; the joint is at .
Watch out. The same heat flows through both rods; most of the drop is across the steel.
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