Bridge Rectifier PIV Calculation Explained

This solution explains how to determine the Peak Inverse Voltage (PIV) for a diode within a full-wave bridge rectifier circuit, based on the provided AC supply voltage.

Understanding Peak Inverse Voltage (PIV)

The Peak Inverse Voltage (PIV) is the highest reverse voltage that a semiconductor diode can safely withstand when it is not conducting electricity. In rectifier circuits, choosing diodes with an appropriate PIV rating is essential to prevent diode failure (breakdown).

Full-Wave Bridge Rectifier Basics

A full-wave bridge rectifier circuit uses four diodes arranged in a bridge configuration. This setup allows it to utilize both the positive and negative halves of the input AC waveform to produce a pulsating DC output. During the negative half-cycle of the input voltage, two specific diodes in the bridge become reverse-biased, and it's across these diodes that the PIV appears.

Determining PIV in a Bridge Rectifier

For a standard full-wave bridge rectifier, the maximum reverse voltage experienced by any diode when it is turned off (reverse-biased) is equal to the peak value of the input AC supply voltage. The PIV requirement for each diode is therefore:

PIV = V_p

Where V_p is the peak voltage of the AC input source.

Calculation Based on Given Supply Voltage

The AC supply voltage provided is:

v(t) = 100 \sin(\omega t)

From this sinusoidal voltage equation:

• The amplitude represents the peak voltage ($V_p$).
• In this case, the peak voltage ($V_p$) is 100 Volts.

Applying the rule for bridge rectifiers, the PIV for each diode is:

PIV = V_p = 100 \text{ V}

Comparing with Available Options

The calculated PIV is 100 V. We compare this result with the given options:

The PIV calculated matches Option 1.