What is the duration of one cycle known as

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Examoogle · Accepted Answer

Period

Explanation: The duration of one complete cycle of an alternating quantity (voltage or current) is defined as the time period. It represents the smallest interval of time after which the waveform begins to repeat its pattern.

Working Principle: In an AC system, a cycle consists of one complete positive alternation and one complete negative alternation. The time taken to complete this process is denoted by $T$. It is inversely proportional to the frequency ($f$) of the supply, governed by the relation $T = \frac{1}{f}$.

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

Key Points: The SI unit for time period is the second (s).; In India, the standard power supply frequency is $50 	ext{ Hz}$, meaning $T = \frac{1}{50} = 0.02 	ext{ seconds}$ (20 ms).; A cycle is equivalent to $2\pi$ radians or $360^\circ$ of electrical rotation.

Applications: Calculating instantaneous values of AC signals.; Designing resonance circuits.; Synchronizing electrical machines.

Additional Info: Waveform refers to the shape of the signal plotted against time.. Peak value refers to the maximum magnitude reached by the waveform in either direction.. Instantaneous value is the value of the quantity at any specific point in time.

Answer: D is correct — The duration of one complete cycle of an alternating quantity is referred to as the time period.

Exam Tip: Always remember that $T$ and $f$ are reciprocal; if the frequency increases, the duration of one cycle ($T$) decreases proportionally.

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