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A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz sinusoidal source supplies a series combination of finite resistance, R, and a very large inductance, L. The two most dominant frequency components in the source current are:
  • a)
    50 Hz, 0 Hz
  • b)
    50 Hz, 100 Hz
  • c)
    50 Hz, 150 Hz
  • d)
    150 Hz, 250 Hz
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz si...
Analysis:

To determine the dominant frequency components in the source current of the given single-phase, full-bridge diode rectifier, we need to analyze the operation of the rectifier circuit.

Operation of the Full-Bridge Diode Rectifier:

The full-bridge diode rectifier consists of four diodes connected in a bridge configuration. The input sinusoidal voltage is applied across the two input terminals, and the output is taken across the load resistor connected in series with the inductance.

During the positive half-cycle of the input voltage, diodes D1 and D2 are forward biased and conduct, allowing current to flow through the load resistor. At the same time, diodes D3 and D4 are reverse biased and block current flow.

During the negative half-cycle of the input voltage, diodes D3 and D4 are forward biased and conduct, allowing current to flow through the load resistor in the opposite direction. At the same time, diodes D1 and D2 are reverse biased and block current flow.

Frequency Components in the Source Current:

To determine the dominant frequency components in the source current, we need to consider the Fourier series representation of the input voltage waveform and the operation of the diode rectifier.

The input voltage waveform is a sinusoid with a frequency of 50 Hz. Therefore, the dominant frequency component in the source current will be the fundamental frequency of 50 Hz.

Additionally, the diode rectifier introduces higher harmonics in the source current due to the non-linear characteristics of the diodes. The presence of the inductance in series with the load resistor has the effect of smoothing out the current waveform and reducing the higher harmonics.

The dominant frequency component in the source current, in addition to the fundamental frequency, will be the second harmonic frequency, which is twice the fundamental frequency (2 * 50 Hz = 100 Hz).

Therefore, the two most dominant frequency components in the source current of the given single-phase, full-bridge diode rectifier are 50 Hz and 100 Hz.

Answer:

The correct answer is option 'B' (50 Hz, 100 Hz) as it includes the fundamental frequency and the second harmonic frequency, which are the two most dominant frequency components in the source current of the rectifier.
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Community Answer
A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz si...
Concept:
Fourier series of source current in a full bridge rectifier is given by

For n = 1, 3, 5, ......
The most dominant frequency components in the above expression are f, 3f
Application:
A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz sinusoidal source
Dominant frequencies = f, 3f
= 50 and 150 Hz
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A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz sinusoidal source supplies a series combination of finite resistance, R, and a very large inductance, L. The two most dominant frequency components in the source current are:a)50 Hz, 0 Hzb)50 Hz, 100 Hzc)50 Hz, 150 Hzd)150 Hz, 250 HzCorrect answer is option 'B'. Can you explain this answer?
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