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Assertion (A): A half wave controlled rectifier has poorer efficiency and higher ripple factor than a full wave controlled rectifier.
Reason (R): The use of a freewheeling diode in half wave controlled rectifier circuit improves the waveform of load current and circuit power factor.
  • a)
    Both A and R are correct and R is correct explanation of A
  • b)
    Both A and R correct but R is not correct explanation of A
  • c)
    A is correct but R is wrong
  • d)
    A is wrong but R is correct
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Assertion (A): A half wave controlled rectifier has poorer efficiency...
Statement: A half wave controlled rectifier has poorer efficiency and higher ripple factor than a full wave controlled rectifier.
Reason: The use of a freewheeling diode in half wave controlled rectifier circuit improves the waveform of load current and circuit power factor.

Explanation:
Half Wave Controlled Rectifier:
- In a half wave controlled rectifier, only one half-cycle of the input AC waveform is converted into DC.
- The rectification process is achieved using a thyristor or a diode.
- During the positive half-cycle of the input AC waveform, the thyristor or diode conducts and allows the current to flow through the load.
- During the negative half-cycle, the thyristor or diode is reverse-biased and does not conduct. Hence, no current flows through the load during this period.
- As a result, the output waveform of a half wave rectifier is a pulsating DC waveform.

Efficiency and Ripple Factor:
- Efficiency is a measure of how effectively the rectifier converts AC power into DC power. It is given by the ratio of the DC power output to the AC power input.
- Ripple factor is a measure of the amount of AC component present in the rectified output. It is given by the ratio of the root mean square (RMS) value of the AC component to the DC component in the output.

Comparison with Full Wave Controlled Rectifier:
- A full wave controlled rectifier uses both half-cycles of the input AC waveform to produce a smoother DC output.
- By utilizing both half-cycles, the full wave rectifier has a higher efficiency compared to the half wave rectifier.
- The full wave rectifier also has a lower ripple factor because it produces a more continuous DC output.

Freewheeling Diode:
- In a half wave controlled rectifier, the use of a freewheeling diode improves the waveform of the load current.
- The freewheeling diode is connected in parallel to the load and conducts during the negative half-cycle when the thyristor or diode is reverse-biased.
- This allows the load current to flow continuously, reducing the pulsations in the output waveform.
- The freewheeling diode also improves the circuit power factor by providing a path for the reactive current during the off period of the thyristor or diode.

Conclusion:
- The assertion is correct as a half wave controlled rectifier has poorer efficiency and higher ripple factor compared to a full wave controlled rectifier.
- The reason is also correct as the use of a freewheeling diode in a half wave rectifier circuit improves the waveform of the load current and circuit power factor.
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Community Answer
Assertion (A): A half wave controlled rectifier has poorer efficiency...
Assertion (A): A half wave controlled rectifier has poorer efficiency and higher ripple factor than a full wave controlled rectifier.
Reason (R): The use of a freewheeling diode in half wave controlled rectifier circuit improves the waveform of load current and circuit power factor.

The correct answer is option 'B': Both A and R are correct, but R is not a correct explanation of A.

Explanation:
Half Wave Controlled Rectifier:
A half wave controlled rectifier is a rectifier circuit that converts AC (alternating current) input into DC (direct current) output, but only utilizes half of the input waveform. It consists of a diode and a load resistor connected in series with the AC supply source. The diode conducts current only during the positive half cycles of the input waveform. The output waveform of a half wave rectifier is characterized by a DC component with significant ripple.

Full Wave Controlled Rectifier:
A full wave controlled rectifier is a rectifier circuit that utilizes both the positive and negative half cycles of the input waveform. It consists of two diodes and a load resistor. During the positive half cycle, one diode conducts and during the negative half cycle, the other diode conducts. The output waveform of a full wave rectifier has a smaller ripple compared to a half wave rectifier.

Efficiency:
Efficiency refers to the ratio of DC power output to the AC power input. A full wave controlled rectifier has a higher efficiency compared to a half wave controlled rectifier. This is because a full wave rectifier utilizes both halves of the input waveform, resulting in a higher average output voltage and hence, a higher output power.

Ripple Factor:
Ripple factor is a measure of the amount of AC component present in the DC output of a rectifier. It is defined as the ratio of the root mean square (RMS) value of the AC component to the DC component. A half wave controlled rectifier has a higher ripple factor compared to a full wave controlled rectifier. This is because a half wave rectifier only utilizes half of the input waveform, resulting in a larger AC component in the output.

Freewheeling Diode:
The use of a freewheeling diode in a half wave controlled rectifier circuit is intended to improve the waveform of the load current and the circuit power factor. The freewheeling diode provides a path for the inductive load current to continue flowing during the non-conducting period of the diode. This helps to reduce the voltage spikes and ringing in the circuit, resulting in a smoother load current waveform. Additionally, the presence of the freewheeling diode improves the power factor by reducing the reactive power consumed by the inductive load.

Conclusion:
Both Assertion (A) and Reason (R) are correct statements. A half wave controlled rectifier indeed has poorer efficiency and higher ripple factor compared to a full wave controlled rectifier. However, the Reason (R) provided is not a correct explanation of Assertion (A). The use of a freewheeling diode in a half wave controlled rectifier circuit helps to improve the waveform of the load current and the circuit power factor, but it does not directly contribute to the efficiency or ripple factor of the rectifier.
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Assertion (A): A half wave controlled rectifier has poorer efficiency and higher ripple factor than a full wave controlled rectifier.Reason (R): The use of a freewheeling diode in half wave controlled rectifier circuit improves the waveform of load current and circuit power factor.a)Both A and R are correct and R is correct explanation of Ab)Both A and R correct but R is not correct explanation of Ac)A is correct but R is wrongd)A is wrong but R is correctCorrect answer is option 'B'. Can you explain this answer?
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