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What is the output ripple frequency of a full-wave rectifier circuit when fed with a 50 Hz AC signal? Group of answer choices25 Hz35.35 Hz50 Hz100 Hz

Question

What is the output ripple frequency of a full-wave rectifier circuit when fed with a 50 Hz AC signal?

Group of answer choices

  • 25 Hz
  • 35.35 Hz
  • 50 Hz
  • 100 Hz
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Solution

1. Break Down the Problem

To find the output ripple frequency of a full-wave rectifier circuit given a 50 Hz AC input signal, we need to understand how the full-wave rectifier affects the frequency of the input.

2. Relevant Concepts

  • A full-wave rectifier inverts both halves of the AC signal, meaning that it effectively produces an output pulse for both the positive and negative halves of the waveform.
  • The output frequency of a full-wave rectifier is double that of the input frequency.

3. Analysis and Detail

  • Given:
    • Input frequency, fin=50 f_{in} = 50 Hz
  • Output frequency of a full-wave rectifier, fout f_{out} is calculated as: fout=2×fin f_{out} = 2 \times f_{in} Substituting the value of fin f_{in} into the equation: fout=2×50 Hz=100 Hz f_{out} = 2 \times 50 \text{ Hz} = 100 \text{ Hz}

4. Verify and Summarize

We have confirmed that for every cycle of the input AC signal, there are two cycles in the output of the full-wave rectifier. Therefore, the output frequency is indeed 100 Hz.

Final Answer

The output ripple frequency of the full-wave rectifier when fed with a 50 Hz AC signal is 100 Hz.

This problem has been solved

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