What is the duration of one cycle known as _________

Question

Examoogle · Accepted Answer

Period

Explanation: The duration of one complete cycle of an alternating quantity (voltage or current) is defined as the time period (T). It represents the exact time taken by the wave to complete one full set of positive and negative excursions before the pattern begins to repeat itself.

Working Principle: In an AC system, the waveform is periodic. The time period is the inverse of the frequency, representing the temporal duration of one cycle in seconds. If an alternating signal completes a cycle in $T$ seconds, the frequency $f$ is the number of cycles completed in one second, expressed as $f = \frac{1}{T}$.

Key Formulas: $T = \frac{1}{f}$ — relation between period and frequency; $f = \frac{1}{T}$ — inverse relationship

Key Points: The SI unit for the period (T) is seconds (s).; One cycle consists of one full positive half-cycle and one full negative half-cycle.; Higher frequency waves have shorter time periods.

Advantages: Allows for calculation of instantaneous values at any given time.; Essential for analyzing AC power transmission and synchronization.

Applications: Power system frequency analysis (e.g., 50Hz/60Hz grid standards).; Signal processing in communication systems.

Additional Info: Option A (Waveform) is the visual representation of the signal over time.. Option B (Peak value) refers to the maximum amplitude reached by the waveform.. Option C (Instantaneous value) refers to the value of the signal at a specific moment in time.. In India, the power grid operates at 50 Hz, meaning the period is $T = \frac{1}{50} = 20 	ext{ ms}$.

Answer: D is correct — The duration of one complete cycle of an alternating waveform is defined as the time period.

Exam Tip: Always remember that time period and frequency are reciprocals; a 50Hz supply in India results in a time period of exactly 20 milliseconds.

Related Questions

Discussion (0)