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Q107EasyAC Fundamentals

How many cycles will an AC signal make in 2 seconds if its frequency is 100Hz?

Answer & step-by-step solution
Correct answer: D. 200
Quick explanation

Frequency means cycles per second. At 100 Hz, the waveform completes 100 cycles each second; in 2 s it completes 100×2 = 200 cycles.

Number of cycles N = f t N = 100 × 2 = 200 cycles T = 1/f = 0.01 s

Concept & Reasoning

The hertz is defined as one cycle per second. Therefore the number of cycles occurring in any time interval is simply frequency multiplied by time. This is the direct inverse of the period relationship T = 1/f.

How to Solve It in the Exam

Hz × seconds = cycles.

Important Exam Point

Convert time to seconds before multiplying by frequency.

Quick Trick

Hz × seconds = cycles.

Common Mistake

Do not divide frequency by time; divide only when finding frequency from a known number of cycles.

Solution diagram – How many cycles will an AC signal make in 2 seconds if its frequency is 100Hz?
Exam tipConvert time to seconds before multiplying by frequency.
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