In a steady state, what happens to the temperature of each part of the rod?

In a steady state, the temperature of each part of the rod is constant but not the same.

Steady-state is the state when a conductor reaches a stage where no more heat can be absorbed by the rod. At this stage, the temperature becomes constant and reaches any cross-section except the heat is lost from the surrounding due to convection and radiation.

Steady state

Steady-state is a system or a process is in a steady state if the variables that define the performance of the system or the process are unchanging in time.

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