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An AC waveform has a frequency of 50 Hertz (Hz).  How much time is required to complete one cycle?

Question

An AC waveform has a frequency of 50 Hertz (Hz).

How much time is required to complete one cycle?

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Solution

1. Break Down the Problem

To find the time required to complete one cycle of an AC waveform, we need to understand the relationship between frequency and period.

2. Relevant Concepts

The period T T of a waveform is the reciprocal of the frequency f f : T=1f T = \frac{1}{f} Where:

  • T T is the period in seconds,
  • f f is the frequency in Hertz (Hz).

3. Analysis and Detail

Given the frequency f=50 f = 50 Hz, we can substitute this value into the formula for period: T=150 T = \frac{1}{50}

4. Verify and Summarize

Now we will calculate the value of T T : T=0.02 seconds T = 0.02 \text{ seconds}

Final Answer

The time required to complete one cycle of the AC waveform is 0.02 0.02 seconds.

This problem has been solved

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