In a full-wave bridge rectifier, the peak inverse voltage (PIV) seen by a nonconducting diode is approximately equal to which value relative to the transformer secondary peak voltage?

Introduction / Context:Peak inverse voltage (PIV) dictates the minimum reverse-voltage rating of rectifier diodes. Choosing an underrated diode risks breakdown and failure. The PIV differs between bridge and center-tapped rectifiers, so recognizing the correct relationship prevents costly mistakes.

Given Data / Assumptions:

• Four-diode full-wave bridge topology.
• Single secondary winding (no center tap).
• Ideal diodes for first-order analysis.

Concept / Approach:In a bridge, two diodes conduct each half-cycle, delivering the rectified output; the other two diodes are reverse-biased. The nonconducting diode sees at most the transformer secondary peak voltage across it because the bridge configuration prevents the full end-to-end peak from appearing across a single reverse-biased device, unlike a center-tapped rectifier where PIV ≈ 2 * V_secondary_peak.

Step-by-Step Solution:Let Vp be the secondary peak voltage from the winding.Analyze a positive half-cycle: two diodes conduct, two are reverse-biased.The reverse-biased diode sees approximately Vp across its junction.Therefore, PIV per diode ≈ Vp in a bridge rectifier.

Verification / Alternative check:Compare with center-tapped full-wave rectifier: there, each nonconducting diode must withstand roughly twice the half-winding peak (≈ Vp_end-to-center), effectively ≈ 2 * Vp_half. The bridge requires a lower PIV rating per diode.

Why Other Options Are Wrong:Half or four times Vp: inconsistent with bridge voltage distribution.

Twice Vp: true for center-tapped, not for a bridge.

Zero: a reverse-biased diode absolutely sees reverse voltage; otherwise blocking would not occur.

Common Pitfalls:Interchanging bridge and center-tap PIV values. Always sketch the conducting path and the reverse-biased diode terminals relative to the secondary to determine PIV correctly.

Final Answer:the peak value of the secondary voltage