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The ripple factor of a half-wave rectifier is _____.
2
21
5
0.48
0.48
The ripple factor of a half-wave rectifier is exactly 1.21, not 0.48 as stated in the provided prompt's answer choice. The ripple factor is a measure of the purity of the DC output, defined as the ratio of the RMS value of the AC component of the output to the DC value of the output.
The ripple factor of a half-wave rectifier is exactly 1.21, not 0.48 as stated in the provided prompt's answer choice. The ripple factor is a measure of the purity of the DC output, defined as the ratio of the RMS value of the AC component of the output to the DC value of the output.
╬│=(IdcтАЛIrmsтАЛтАЛ)2тИТ1тАЛ тАФ General definition of ripple factor
╬│=1.21 тАФ Ripple factor for Half-Wave Rectifier
╬│=0.48 тАФ Ripple factor for Full-Wave Rectifier
In a half-wave rectifier, the output is pulsating DC containing significant harmonic components. The RMS value of the output current is IrmsтАЛ=2ImтАЛтАЛ, and the DC component is IdcтАЛ=╧АImтАЛтАЛ. Using the relation ╬│=(IdcтАЛIrmsтАЛтАЛ)2тИТ1тАЛ, substituting the values yields (2╧АтАЛ)2тИТ1тАЛтЙИ1.21.
The ripple factor represents the AC content in the output signal.
A lower ripple factor indicates a smoother DC output.
Half-wave rectifiers have poor performance compared to full-wave rectifiers due to higher ripple.
The value 0.48 is actually the ripple factor for a full-wave rectifier, indicating the source of confusion in the original question.
Simple circuit construction
Low component count (requires only one diode)
High ripple factor (1.21)
Low rectification efficiency (40.6%)
DC saturation of transformer core
Low-cost signal demodulation
Simple control circuits where high efficiency is not required
| Feature | Half-Wave Rectifier | Full-Wave Rectifier |
|---|---|---|
Ripple Factor | 1.21 | 0.48 |
The option '0.48' in the question is factually associated with a Full-Wave Rectifier, not a Half-Wave Rectifier.
Engineers typically use filters (capacitors/inductors) to reduce the ripple factor to a manageable level in practical power supplies.
The ripple factor of a half-wave rectifier is 1.21, whereas 0.48 is the ripple factor for a full-wave rectifier.
Always remember the ripple factors: Half-wave = 1.21, Full-wave = 0.48. These are standard values frequently asked in competitive exams.