# The maximum efficiency of a half-wave rectifier is?

By BYJU'S Exam Prep

Updated on: October 17th, 2023

(A) 33.3 %

(B) 40.6 %

(C) 66.6 %

(D) 72.9 %

Solution:

The maximum efficiency of a half-wave rectifier is 40.6%. The proportion of dc output power to input power is used to define a rectifier’s efficiency.

A half-wave rectifier’s efficiency will be:

η = Pdc/Pac

η = Vdc2/RL/ Vrms2/RL

VDC = DC or average output voltage

The output DC voltage or average voltage of a half-wave rectifier is determined by:

VDC = Vm/π

RMS voltage for half-wave rectifier is written as:

Vrms = Vm/2

Half-wave rectifier efficiency is:

η = (Vm/π)2/ (Vm/2)2 = 40/6%

Maximum efficiency for a Half wave rectifier = 40.6%

Summary:

## The Maximum Efficiency of a Half-wave Rectifier is? (A) 33.3% (B) 40.6% (C) 66.6% (D) 72.9%

A half-wave rectifier can operate at a maximum efficiency of 40.6%. The rectifier efficiency is measured as the ratio of dc output power to input power.

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