Justify that full wave rectifier is more efficient that half wave rectifier.

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Comparision half wave rectifier and full wave rectifier

S.No	Half wave rectifier	Full wave rectifier
1.	Half Wave Rectifier consists of transformer, diode and load resistor. The circuit is shown below.	Full Wave Rectifier is given below. If consists of center tapped transformer, two diodes D1, D2 and load resistor.
2.	Half wave rectifier produces the output across RL during positive half cycle and produces no output during negative half cycles. The input and output waveforms are shown below.	Full wave rectifier produces the output across RL during positive half cycle and negative half cycles.The input and output waveforms are shown below.
3.	Idc :-The dc value of the alternating current is its average value .
$I_{dc}=\frac{I_m}{\pi}$	Idc :-The dc value of the alternating current is its average value.
$I_{dc}=\frac{2I_m}{\pi}$
4,	Irms: The rms value of the alternating current is its effective value .
$I_{rms}=\frac{I_m}{2}$	Irms: The rms value of the alternating current is its effective value .
$I_{rms}=\frac{I_m}{\sqrt 2}$
5.	Rectifier efficiency is defined as the ratio of output dc power to input ac power.
$\eta =40.6 \%$	Rectifier efficiency is defined as the ratio of output dc power to input ac power.
$\eta =81.2\%$
6	Ripple factor is a mesure of ripples present in the output of a rectifier. It is defined as the ratio of RMS value of the AC component in the output to the DC component present in the output.
$\gamma = 1.21$	Ripple factor is a mesure of ripples present in the output of a rectifier. It is defined as the ratio of RMS value of the AC component in the output to the DC component present in the output.
$\gamma = 0.482$
7	Peak Inverse voltage is the maximum reverse voltage the diode has to with stand.
PIV = Em	Peak Inverse voltage is the maximum reverse voltage the diode has to with stand.
PIV = 2Em
8	Transformer utilization factor indicates how well the transformer is utilized
TUF=0.287	Transformer utilization factor indicates how well the transformer is utilized
TUF=0.693

Rectifier efficiency of Full Wave Rectifier is 81.2 % and Half Wave Rectifier is 40.6%. Thus full wave rectifier is more efficient that half wave rectifier.

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