Final answer:
The student's question is centered on the modulation of an amplitude modulated signal in electrical engineering. Amplitude modulation involves varying the amplitude of a carrier wave according to the modulating signal without altering the carrier's frequency. Amplitude, frequency, and period are key characteristics used to describe the wave.
Step-by-step explanation:
The question involves a Double Sideband Suppressed Carrier (DSB-SC) Amplitude Modulated (AM) signal, which is a concept from Electrical Engineering, specifically in the field of communications. The modulating signal m(t) = 2cos(2000πt) indicates a cosine wave with a frequency component that must be used for the modulation process. AM is a method of transmitting information by varying the amplitude of a carrier wave in correspondence with the amplitude of a signal or data to be transmitted.
When an AM signal is modulated by m(t), the amplitude of the carrier wave at the station's basic frequency is altered in line with m(t), without changing the carrier's frequency. An example of this is demonstrated in figure 24.11, where (a) shows the carrier wave, (b) the modulating audio signal, and (c) the modulated AM wave. The carrier wave's characteristics such as amplitude, frequency, and period are crucial, and these can be directly read from the wave equation. For example, considering given properties like amplitude of 30 V/m or frequency of 2.0 MHz, allows us to understand the behavior of the modulated wave and to plot its graph accordingly.