The ripple factor of a full wave rectifier is a measure of the quality of the rectification of an AC voltage by the rectifier. It is defined as the ratio of the RMS value of the AC component in the rectified output to the average value of the rectified output. The formula for the ripple factor of a full wave rectifier is:
$$\Gamma = \sqrt{\left(\frac{V_{\text{RMS}}}{V_{\text{DC}}}\right)^2-1}$$
where $\Gamma$ is the ripple factor, $V_{\text{RMS}}$ is the RMS value of the AC component in the rectified output, and $V_{\text{DC}}$ is the average value of the rectified output.
Substituting the values for $V_{\text{RMS}}$ and $V_{\text{DC}}$ for a full wave rectifier, we get:
$$\Gamma = \sqrt{\left(\frac{V_{\text{RMS}}}{V_{\text{DC}}}\right)^2-1} = \sqrt{\left(\frac{V_{\text{m}}/\sqrt{2}}{2V_{\text{m}}/\pi}\right)^2-1} = 0.483 \approx 0.48$$
Therefore, the ripple factor of a full wave rectifier is approximately 0.48.
