A rod C D of thermal resistance 5.0 K / W is joined at the middle of an identical rod A B as sh

step 1 Hello students in this question a rod cd of thermal resistance are cd it is equals to 5 .0 Kelvi

A rod C D of thermal resistance 5.0 K / W is joined at the...

A rod $C D$ of thermal resistance $5.0 \mathrm{~K} / \mathrm{W}$ is joined at the middle of an identical rod $A B$ as shown in figure. The ends $A, B$ and $D$ are maintained at $100^{\circ} \mathrm{C}$ and $25^{\circ} \mathrm{C}$ respectively. Find the heat current in $C D$.

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Key Concepts

Heat Current (Thermal Conduction)

The heat current in conduction is the rate at which heat energy is transferred through a material due to a temperature difference. It is typically calculated using the temperature difference divided by the thermal resistance. This approach allows for the analysis of complex systems by breaking them down into individual components with defined thermal resistances.

Thermal Resistance

Thermal resistance is a measure of a material’s ability to resist the flow of heat. It defines the relationship between the temperature difference across a material and the resulting heat transfer rate. In thermal conduction problems, this concept is analogous to electrical resistance in circuits, enabling us to use similar techniques for calculating heat transfer.

Thermal Circuit Analysis

Thermal circuit analysis applies the principles of electrical circuit theory to thermal systems, where temperatures correspond to voltages and heat currents correspond to electrical currents. By modeling thermal resistances in series and parallel arrangements, this technique simplifies the analysis of heat flow in systems with multiple conduction paths, aiding in understanding and solving problems in thermal conduction.

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