Question

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

Answer 1

Hint
To solve this given problem, both the process half wave rectification and the full wave rectification must be known. By using the frequency formula for half wave and full wave rectifier, the output frequency of half wave rectifier and full wave rectifier can be determined. Half wave rectifier-
${f_{out}} = {f_{in}}$
Where ${f_{out}}$ is the output frequency and ${f_{in}}$ is the input frequency.
Full wave rectification,
${f_{out}} = 2 \times {f_{in}}$
Where ${f_{out}}$ is the output frequency and ${f_{in}}$ is the input frequency.

Complete step by step solution
Given data:
The input frequency to the half wave rectifier is ${f_{in}} = 50\,Hz$.
The input frequency to the half wave rectifier is ${f_{in}} = 50\,Hz$.
1. Half wave rectification is defined as the type of rectifier that allows one half cycle of an AC voltage waveform to pass. So, the input frequency is equal to the output frequency.
${f_{out}} = {f_{in}}\,...................\left( 1 \right)$
Substitute the input frequency value in the equation (1), then,
${f_{out}} = 50\,Hz$
So, the output frequency for the half wave rectifier is $50\,Hz$, when the input frequency is $50\,Hz$.
2. Full wave rectification which rectifies the input voltage, then converts it into DC by using the diode bridge configuration. The best example for the full wave rectification is wheatstone bridge. For a full wave rectifier, the output frequency is twice that of the input frequency.
${f_{out}} = 2 \times {f_{in}}\,....................\left( 2 \right)$
Substitute the input frequency value in the equation (2), then,
 ${f_{out}} = 2 \times 50\,Hz$
On multiplying the above equation, then the above equation is written as,
${f_{out}} = 100\,Hz$
So, the output frequency for the full wave rectifier is $100\,Hz$, when the input frequency is $50\,Hz$.

Note
The output frequency and input frequency for half wave rectifiers is the same because it allows one half cycle of an AC voltage waveform to pass. The output frequency for the full wave rectifier is twice the input frequency because it allows the full cycle of an AC voltage waveform to pass.