A full-wave rectifier (operating from a 60-Hz supply) drives...

A full-wave rectifier (operating from a 60-Hz supply) drives a capacitor-filter circuit $(C=100 \mu \mathrm{F})$, which develops $12 \mathrm{~V}$ dc when connected to a $2.5-\mathrm{k} \Omega$ load. Calculate the output voltage ripple.

Key Concepts

Full-Wave Rectification

A full?wave rectifier converts both halves of an AC input waveform into pulsating DC, effectively doubling the frequency of the output pulse relative to the input AC frequency. This operation maximizes the utilization of the transformer secondary winding and leads to a smoother DC output when coupled with a filtering element.

Capacitor Filtering

Capacitor filtering is used in rectifier circuits to reduce the ripple voltage inherent in pulsating DC outputs. A suitably sized filter capacitor charges during the peaks of the rectified signal and discharges slowly between peaks, thereby smoothing the voltage and providing a more constant DC level to the load.

Ripple Voltage

Ripple voltage is the small, unwanted periodic variation that superimposes on the DC output following rectification and filtering. It is influenced by the discharge rate of the filter capacitor between charging cycles and is an important parameter in assessing the quality of a DC power supply.

Load Impact on Ripple

The magnitude of the ripple voltage in a capacitor-filtered rectifier circuit is dependent on the load resistance, as the load draws current from the capacitor causing it to discharge. A heavier load (lower resistance) increases the rate of discharge, generally resulting in a larger ripple voltage, whereas a lighter load (higher resistance) results in less ripple.

Frequency Considerations in Rectification

In a full-wave rectified circuit, the ripple frequency is twice the AC supply frequency. Thus, for a rectifier operating from a 60 Hz supply, the ripple frequency becomes 120 Hz. This increased frequency improves the performance of the filter capacitor because the capacitor is recharged more frequently, contributing to a lower ripple voltage.

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