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A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, as
- a)2Vm/π,Vm/π
- b)Vm/π,Vm/2π
- c)Vm/2π, Vm/π
- d)Vm/π, −Vm/2π
Correct answer is option 'A'. Can you explain this answer?
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A single-phase mid-point full-wave SCR converter with maximum mid-poin...
Pi/2 radians. At a firing delay angle of pi/2 radians, the output voltage is 0 volts. The converter is connected to a 120 Vrms, 60 Hz AC supply.
To determine the average output voltage, we can use the formula:
Vo_avg = (2 * Vm / pi) * (1 - cos(alpha))
Where Vo_avg is the average output voltage, Vm is the maximum mid-point voltage, and alpha is the firing delay angle.
At a firing delay angle of 0 radians, alpha = 0. Plugging this into the formula, we get:
Vo_avg = (2 * Vm / pi) * (1 - cos(0))
= (2 * Vm / pi) * (1 - 1)
= 0
At a firing delay angle of pi/2 radians, alpha = pi/2. Plugging this into the formula, we get:
Vo_avg = (2 * Vm / pi) * (1 - cos(pi/2))
= (2 * Vm / pi) * (1 - 0)
= (2 * Vm / pi)
Since the output voltage at a firing delay angle of pi/2 radians is 0 volts, we can set the expression equal to 0 and solve for Vm:
(2 * Vm / pi) = 0
2 * Vm = 0
Vm = 0
Therefore, at a firing delay angle of pi/2 radians, the maximum mid-point voltage Vm is 0 volts.
In summary, the average output voltage of the single-phase mid-point full-wave SCR converter is 0 volts at a firing delay angle of 0 radians and (2 * Vm / pi) volts at a firing delay angle of pi/2 radians, where Vm is the maximum mid-point voltage.
To determine the average output voltage, we can use the formula:
Vo_avg = (2 * Vm / pi) * (1 - cos(alpha))
Where Vo_avg is the average output voltage, Vm is the maximum mid-point voltage, and alpha is the firing delay angle.
At a firing delay angle of 0 radians, alpha = 0. Plugging this into the formula, we get:
Vo_avg = (2 * Vm / pi) * (1 - cos(0))
= (2 * Vm / pi) * (1 - 1)
= 0
At a firing delay angle of pi/2 radians, alpha = pi/2. Plugging this into the formula, we get:
Vo_avg = (2 * Vm / pi) * (1 - cos(pi/2))
= (2 * Vm / pi) * (1 - 0)
= (2 * Vm / pi)
Since the output voltage at a firing delay angle of pi/2 radians is 0 volts, we can set the expression equal to 0 and solve for Vm:
(2 * Vm / pi) = 0
2 * Vm = 0
Vm = 0
Therefore, at a firing delay angle of pi/2 radians, the maximum mid-point voltage Vm is 0 volts.
In summary, the average output voltage of the single-phase mid-point full-wave SCR converter is 0 volts at a firing delay angle of 0 radians and (2 * Vm / pi) volts at a firing delay angle of pi/2 radians, where Vm is the maximum mid-point voltage.
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Community Answer
A single-phase mid-point full-wave SCR converter with maximum mid-poin...
A single-phase mid-point full-wave SCR converter:
In this circuit, two thyristors are used and are connected as shown below
Where,
Vs is the source voltage
Vm is the maximum voltage of the midpoint
Let α be the firing angle
V0 is the output voltage
When the thyristors are triggered with a firing angle 0 and π/2
Then the output waveform will be as follows
Let the average output voltage of the circuit be Va
The value of source voltage is Vm sin ωt
Calculation:
Calculation:
Given,
α1 = 0, α2 = π/2
For the first thyristor, the average output voltage is
Va = 2Vm / π
Va = 2Vm / π
For the second thyristor, the average output voltage is
Va = Vm / π
Va = Vm / π
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A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer?
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A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer?.
A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single-phase mid-point full-wave SCR converter with maximum mid-point voltage of Vm volts develops an average output voltage across a resistive load at firing delay angles of 0 and π/2 rad., respectively, asa)2Vm/π,Vm/πb)Vm/π,Vm/2πc)Vm/2π, Vm/πd)Vm/π, −Vm/2πCorrect answer is option 'A'. Can you explain this answer?.
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