# Why is the full wave rectified output frequency twice than input ?

The output frequency of a full-wave rectifier is twice that of the input because it rectifies both halves of the AC waveform. In a full-wave rectifier, whether using a center-tapped transformer or a bridge configuration, each half-cycle of the AC input is utilized to produce a DC output. Specifically, during each cycle of the AC input waveform, the rectifier produces two pulses of DC output—one during the positive half-cycle and another during the negative half-cycle. This results in a pulsating DC output where the frequency of the pulses corresponds to twice the frequency of the input AC waveform. Therefore, for an AC input at a frequency of, for example, 50 Hz, the output frequency of the rectified DC would be 100 Hz due to the rectification of both halves of the input cycle.

The output frequency of a full-wave rectifier is double that of the input frequency because it rectifies both the positive and negative halves of the AC input waveform. In a full-wave rectifier, whether using a center-tapped transformer or a bridge rectifier configuration, both halves of the AC cycle are utilized to produce a pulsating DC output. This means that for every complete cycle of the AC input waveform, two pulses of DC output are generated—one for the positive half-cycle and another for the negative half-cycle. As a result, the frequency of the pulsating DC output is twice that of the input AC waveform. For instance, if the input AC has a frequency of 50 Hz, the output of the full-wave rectifier will have a frequency of 100 Hz, reflecting the rectification of both halves of the AC cycle.

A full-wave rectifier typically has twice the efficiency of a half-wave rectifier due to its ability to utilize both halves of the AC input waveform. In a half-wave rectifier, only one half of the AC input cycle is rectified and utilized to produce DC output. This results in a higher amount of wasted AC power during the unrectified half of the cycle, reducing the overall efficiency of the rectification process. In contrast, a full-wave rectifier, whether using a center-tapped transformer or a bridge configuration, rectifies both halves of the AC waveform, thereby extracting more usable DC power from the AC input. This utilization of the entire AC cycle contributes to a higher efficiency compared to a half-wave rectifier, making full-wave rectifiers more efficient in converting AC to DC power.

The output voltage frequency of a full-wave bridge rectifier is double that of the input voltage frequency because it rectifies both halves of the AC input waveform. In a full-wave bridge rectifier, which consists of four diodes arranged in a bridge configuration, both the positive and negative halves of the AC cycle are rectified to produce a pulsating DC output. This results in two pulses of DC output for each cycle of the input AC waveform, effectively doubling the frequency of the output compared to the input. For example, if the AC input has a frequency of 50 Hz, the output of the full-wave bridge rectifier will have a frequency of 100 Hz due to the rectification of both positive and negative halves of the input cycle.

The output frequency of a half-wave rectifier is equal to the input frequency because it only rectifies one half of the AC input waveform. In a half-wave rectifier, typically consisting of one diode, only the positive half-cycle (or the negative half-cycle, depending on the configuration) of the AC input is rectified and utilized to produce DC output. As a result, the frequency of the pulsating DC output remains the same as that of the input AC waveform. For instance, if the input AC has a frequency of 50 Hz, the output frequency of the half-wave rectifier will also be 50 Hz, reflecting the rectification of only one half of the AC cycle.