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A single-phase full-wave controlled rectifier, operating at 120 V rms and 60 Hz ac supply, has a firing angle of 60°. The average value of its output voltage is
- a)52 V
- b)54 V
- c)56 V
- d)58 V
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A single-phase full-wave controlled rectifier, operating at 120 V rms ...
The firing angle of 60 degrees means that the thyristor is triggered and conducts current for 60 degrees of each half-cycle of the input voltage waveform.
In a single-phase full-wave controlled rectifier, four thyristors are used to control the rectification process. These thyristors are typically arranged in a bridge configuration.
When the thyristors are triggered, they allow current to flow in a specific direction through the load. In this case, the load is a resistive load. During the positive half-cycle of the input voltage waveform, thyristors T1 and T2 are triggered to conduct current. During the negative half-cycle, thyristors T3 and T4 are triggered.
The firing angle of 60 degrees means that thyristors T1 and T2 are triggered after 60 degrees of the positive half-cycle of the input voltage waveform. This allows current to flow through the load for the remaining 120 degrees of the positive half-cycle.
The output voltage of the rectifier will be a pulsating DC voltage, with a frequency twice that of the input voltage (120 Hz in this case). The output voltage will have a peak value of the input voltage (120 V rms in this case) when the thyristors are triggered, and zero when they are not conducting.
It's worth noting that the output voltage will have some ripple due to the pulsating nature of the rectified waveform. The amount of ripple depends on the load and the smoothing capacitors used in the circuit.
In a single-phase full-wave controlled rectifier, four thyristors are used to control the rectification process. These thyristors are typically arranged in a bridge configuration.
When the thyristors are triggered, they allow current to flow in a specific direction through the load. In this case, the load is a resistive load. During the positive half-cycle of the input voltage waveform, thyristors T1 and T2 are triggered to conduct current. During the negative half-cycle, thyristors T3 and T4 are triggered.
The firing angle of 60 degrees means that thyristors T1 and T2 are triggered after 60 degrees of the positive half-cycle of the input voltage waveform. This allows current to flow through the load for the remaining 120 degrees of the positive half-cycle.
The output voltage of the rectifier will be a pulsating DC voltage, with a frequency twice that of the input voltage (120 Hz in this case). The output voltage will have a peak value of the input voltage (120 V rms in this case) when the thyristors are triggered, and zero when they are not conducting.
It's worth noting that the output voltage will have some ripple due to the pulsating nature of the rectified waveform. The amount of ripple depends on the load and the smoothing capacitors used in the circuit.
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Community Answer
A single-phase full-wave controlled rectifier, operating at 120 V rms ...
Concept:
The average output voltage of the single-phase full-wave rectifier with a resistive load is given by
V0 = 2Vm/π cos α
Where,
Vm = peak value of source voltage
α = firing angle
The average output voltage of the single-phase full-wave rectifier with a resistive load is given by
V0 = 2Vm/π cos α
Where,
Vm = peak value of source voltage
α = firing angle
Calculation:
Given that:
Source voltage Vs = 120 V rms
firing angle α = 600
From the source voltage peak value Vm = √2 × 120 V
The average output value of a single-phase full-wave rectifier is given by
Given that:
Source voltage Vs = 120 V rms
firing angle α = 600
From the source voltage peak value Vm = √2 × 120 V
The average output value of a single-phase full-wave rectifier is given by
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A single-phase full-wave controlled rectifier, operating at 120 V rms and 60 Hz ac supply, has a firing angle of 60°. The average value of its output voltage isa)52 Vb)54 Vc)56 Vd)58 VCorrect answer is option 'B'. Can you explain this answer?
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