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In case of full wave bridge rectifiers, maximum efficiency is ______ and ripple factor is ______.
Question

In case of full wave bridge rectifiers, maximum efficiency is ______ and ripple factor is ______.

A.

40.6%, 0.48

B.

40.6%, 1.21

C.

81.2%, 0.48

D.

81.2%, 1.21

Correct option is C

 The rectification efficiency of full wave rectifiers is double that of half wave rectifiers. The efficiency of half wave rectifiers is 40.6% while the rectification efficiency of full wave rectifiers is 81.2%. The ripple factor in full wave rectifiers is low hence a simple filter is required. The value of ripple factor in full wave rectifier is 0.482 while in half wave rectifier it is about 1.21. Form FactorThe form factor of the full wave rectifier is calculated using the formula:Kf=RMS value of currentAverage value of current=IrmsIdc=Imax/22Imax/π=π22=1.11 Ripple FactorKr=(Form factor)21=(1.11)21=0.4817 Peak FactorThe following formula gives the peak factor of the full wave rectifier:Kp=Peak value of currentRMS value of current=ImaxImax/2=2 Maximum EfficiencyThe maximum efficiency of the full-wave rectifier can be obtained using the following formula:η=DC Output PowerAC Output Power=(2Vm/π)(Vm/2)=0.812 The efficiency of the full wave rectifiers is 81.2%.\bullet \ \text{The rectification efficiency of full wave rectifiers is double that of half wave rectifiers. The efficiency of half wave rectifiers is } 40.6\% \text{ while the rectification efficiency of full wave rectifiers is } 81.2\%. \\[6pt]\bullet \ \text{The ripple factor in full wave rectifiers is low hence a simple filter is required. The value of ripple factor in full wave rectifier is } 0.482 \text{ while in half wave rectifier it is about } 1.21. \\[10pt]\bullet \ \text{Form Factor} \\[4pt]\text{The form factor of the full wave rectifier is calculated using the formula:} \\[4pt]K_f= \frac{\text{RMS value of current}}{\text{Average value of current}}= \frac{I_{\mathrm{rms}}}{I_{\mathrm{dc}}}= \frac{I_{\max}/\sqrt{2}}{2I_{\max}/\pi}= \frac{\pi}{2\sqrt{2}}= 1.11 \\[10pt]\bullet \ \text{Ripple Factor} \\[4pt]K_r= \sqrt{(\text{Form factor})^2 - 1}= \sqrt{(1.11)^2 - 1}= 0.4817 \\[10pt]\bullet \ \text{Peak Factor} \\[4pt]\text{The following formula gives the peak factor of the full wave rectifier:} \\[4pt]K_p= \frac{\text{Peak value of current}}{\text{RMS value of current}}= \frac{I_{\max}}{I_{\max}/\sqrt{2}}= \sqrt{2} \\[10pt]\bullet \ \text{Maximum Efficiency} \\[4pt]\text{The maximum efficiency of the full-wave rectifier can be obtained using the following formula:} \\[4pt]\eta= \frac{\text{DC Output Power}}{\text{AC Output Power}}= \frac{(2V_m/\pi)}{(V_m/\sqrt{2})}= 0.812 \\[10pt]\bullet \ \text{The efficiency of the full wave rectifiers is } 81.2\%.​​

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