Final answer:
The question addresses the characteristics of a waveform, namely its amplitude and period, through the context of a trigonometric function, relevant to high school mathematics curriculum.
Step-by-step explanation:
The subject of the question pertains to the characteristics of a waveform, specifically focusing on parameters like amplitude and period.
Considering a function with an amplitude of 3 and a period of 2, we're likely dealing with a trigonometric function such as a sine or cosine wave, which is a common topic in a high school mathematics curriculum, particularly within algebra or pre-calculus courses.
The information provided about the function, along with additional details such as the amplitude being 30 V/m and the frequency being 2.0 MHz leading to a period of 5.0 × 10-7 s, relates to the graphing and analysis of periodic functions. These details are critical in describing the behavior of the waveform, which can also be applied in various physics contexts related to wave motion.
The given information states that the function has an amplitude of 3 and a period of 2. In a sinusoidal function of the form y = a · sin(bx), the amplitude (a) is the distance from the center line to the maximum or minimum point of the wave. In this case, the amplitude is 3.
The period (T) is the distance between two consecutive points on the wave that have the same value. It can be found using the formula T = 2π / b, where b is the coefficient of x. Since the period is 2, we can set 2 = 2π / b and solve for b. Simplifying the equation, we get b = π.