In a half-wave rectifier circuit, the DC output voltage is typically given by the formula:
\[ V_{DC} = \frac{V_{peak}}{\pi} \]
where \( V_{peak} \) is the peak voltage of the input AC signal.
Here's a brief explanation of the formula:
- \( V_{peak} \) is the maximum value of the AC input voltage.
- The factor \(\pi\) in the denominator comes from the integration of the rectified waveform over one cycle and represents the average value of the rectified output.
So, if you know the peak voltage of the AC input, you can calculate the average DC voltage output of the rectifier using this formula.