Question
What is a filter circuit? Explain its functioning.

Answer

The rectified voltage is in the form of pulses of the shape of half sinusoilds. Though, it is unidirectional it does not have a steady value.
To get steady dc output from pulsating voltage, the filter circuit is used. Filter circuits consist of only capacitor, only inductor or a combination of both. Since these additional circuits appear to filter out the ac ripple and give a pure dc voltage, so they are called filters.
• Functioning of a Filter Circuit :
When the voltage across the capacitor is rising, it gets charged. If there is no external load, it remains charged to peak voltage of the rectified output.
When there is a load, it gets discharged through the load and the voltage across it begins to fall. In the next half cycle of rectified output it again gets charged to the peak value.
As shown in the fig., the rate of fall of the voltage across capacitor depends on the inverse product of capacitor C and the effective resistance $R_L$ used in the circuit and is called the time constant. To make the time constant large, value of C should be large. So capacitor input filters use large capacitors.
The output voltage obtained by using capacitor input filter is nearer to the peak voltage of the rectified voltage.
This type of filter is most widely used in power supplies.
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