Step 1: Understanding the Carnot cycle.
The Carnot cycle is a theoretical thermodynamic cycle that defines the maximum possible efficiency of a heat engine. It consists of two isothermal processes (constant temperature) and two adiabatic processes (no heat exchange).
Step 2: Heat addition in the Carnot cycle.
In the Carnot cycle, heat is added to the working substance during an isothermal expansion, meaning the temperature remains constant. Thus, the heat is added at a constant temperature.
Step 3: Conclusion.
Therefore, the correct answer is (C), as heat is added at constant temperature in the Carnot cycle.