What is the relationship between frequency and the period of a waveform?

• A. Frequency (f) = Period (T) x 2
• B. Frequency (f) = 1 / Period (T)
• C. Frequency (f) = Period (T) x 4
• D. Frequency (f) = Period (T) - 1

Answer: (B)

The relationship between frequency and the period of a waveform is defined by the equation where frequency (f) is the reciprocal of the period (T). This means that frequency, measured in hertz (Hz), indicates how many cycles of a waveform occur in one second, while the period represents the duration of one complete cycle of the waveform measured in seconds.

By using the equation ( f = \frac{1}{T} ), it becomes clear that as the period increases (meaning each cycle takes longer), the frequency decreases, and vice versa. This relationship is a fundamental principle in wave mechanics, illustrating that frequency and period are inversely proportional to each other.

Understanding this fundamental relationship is essential, especially in electrical science, as it helps in analyzing waveforms and understanding various aspects of electrical signals and their behavior in circuits.