In half-wave rectification, what is the output frequency if the input frequency is 50 Hz. What is the output frequency of a full-wave rectifier for the same input frequency.

To determine the output frequency of rectifiers, we need to understand how half-wave and full-wave rectification processes work. Let's break it down step by step.

Half-Wave Rectification

In half-wave rectification, only one half of the input AC waveform is allowed to pass through, while the other half is blocked. This means that for every cycle of the input AC signal, you only get one pulse of output. If the input frequency is 50 Hz, it means that the AC waveform completes 50 cycles in one second.

Since half-wave rectification only utilizes one half of each cycle, the output frequency remains the same as the input frequency. Therefore, for an input frequency of 50 Hz, the output frequency of a half-wave rectifier is also:

• Output Frequency (Half-Wave): 50 Hz

Full-Wave Rectification

In contrast, full-wave rectification allows both halves of the AC waveform to contribute to the output. This is typically achieved using a bridge rectifier or a center-tapped transformer configuration. As a result, for each cycle of the input waveform, you get two pulses of output—one from each half of the cycle.

Given that the input frequency is still 50 Hz, the output frequency for a full-wave rectifier will be double that of the input frequency. Thus, the output frequency for a full-wave rectifier is:

• Output Frequency (Full-Wave): 100 Hz

Summary of Output Frequencies

To summarize:

• For a half-wave rectifier with an input frequency of 50 Hz, the output frequency is 50 Hz.
• For a full-wave rectifier with the same input frequency of 50 Hz, the output frequency is 100 Hz.

This difference in output frequency is crucial in applications where the frequency of the output signal affects the performance of the circuit, such as in power supplies and signal processing. Understanding these concepts helps in selecting the appropriate rectification method for specific applications.