Explanation: A centre- tap full wave rectifier drive produces the rectified voltage and it drives the LC filter. We know that the series inductor filter is preferred for low values of load resistance (i.e. heavy loads) and the shunt capacitor filter is preferred for high values of load resistance (i.e. light loads) Therefore, the LC filter can give low ripple factor irrespective of the load current as it is combination of these two filters.
The series connected inductor offers a high reactance to the harmonic components (ripple) in the output and attenuate them. The parallel capacitor C now provides a low reactance by- pass for the ripple and these ripples are grounded. Thus, this reduces the ripple further because they are not allowed to pass through the load RL. The output voltage waveforms are similar to that as shown in figure above.