A half wave rectifier is a special case of a clipper.  In half wave rectification,
either the positive or negative half of the AC wave is passed easily while the
other half is blocked, depending on the polarity of the rectifier. Because
only one half of the input waveform reaches the output, it is very inefficient
if used for power transfer. Half wave rectification can be achieved with a
single diode in a one phase supply.
Half-wave rectification
Full-wave rectification converts both polarities of the input waveform to DC,
and is more efficient. However, in a circuit with a non-center tapped
transformer, four rectifiers are required instead of the one needed for
half-wave rectification. This is due to each output polarity requiring 2
rectifiers each, for example, one for when AC terminal 'X' is positive and one
for when AC terminal 'Y' is positive. The other DC output requires exactly the
same, resulting in four individual junctions (See semiconductors/diode).
Four rectifiers arranged this way are called a bridge rectifier:
Full-wave rectification
sources cited from Wikipedia, the free encyclopedia @
http://en.wikipedia.org/wiki/Rectifier#Full-wave_rectification

 

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