Final answer:
In an amplitude modulation system, the power of the carrier wave remains constant regardless of the modulation level. This is because carrier power is set before modulation and is unaffected by changes in the amplitude of the carrier wave due to modulation.
Step-by-step explanation:
The carrier power in an amplitude modulation (AM) system is independent of the modulation level. This is because the carrier power is determined by the carrier signal before any modulation takes place. When modulation occurs, the amplitude of the carrier wave is varied by the information signal, but this does not change the base power of the carrier that has been set for transmission. It's important to understand that while the total power (carrier plus sidebands) can increase with modulation, the power allocated to the carrier frequency itself remains constant.