Concept:In a bridge rectifier, the PIV across each non-conducting diode is \( V_m \), whereas in a center-tapped rectifier it is \( 2V_m \). Bridge rectifiers also work with standard, non-center-tapped transformers.
Formula:$$\text{PIV}_{\text{bridge}} = V_m = \frac{1}{2} \text{PIV}_{\text{center-tapped}}$$
Solution:- In a center-tapped rectifier, each diode must withstand \( 2V_m \) in reverse bias.
- In a bridge rectifier, the reverse voltage is split, so each diode only needs to withstand \( V_m \).
- This allows the use of more economical diodes with lower voltage breakdown ratings.
Why other options are incorrect:- Option A: Bridge rectifiers do not require a center-tapped transformer, which is one of their main advantages.
- Option C: A bridge rectifier uses 4 diodes, whereas a center-tapped design uses 2 diodes.
- Option D: Both topologies share the same theoretical maximum efficiency of \( 81.2\% \).
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