Physics Exam > Physics Questions > The form factor (in case of resistive load) f...
Start Learning for Free
The form factor (in case of resistive load) for a full wave rectifier is:-
- a)1.21
- b)0.482
- c)1.11
- d)1.57
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The form factor (in case of resistive load) for a full wave rectifier ...
Most Upvoted Answer
The form factor (in case of resistive load) for a full wave rectifier ...
The form factor for a full wave rectifier with a resistive load can be calculated by dividing the average value of the output voltage by the RMS value of the output voltage. The form factor is a measure of how closely the output waveform resembles a pure DC waveform.
To calculate the form factor, we first need to determine the average value and RMS value of the output voltage.
1. Average value of the output voltage:
In a full wave rectifier, the output voltage is a pulsating DC waveform. The average value of this waveform can be calculated by integrating the voltage over one complete cycle and dividing by the period. For a resistive load, the output voltage waveform is symmetrical and can be considered as a series of half sine waves.
The average value of a half sine wave is given by:
Vavg = (2/π) * Vm
Where Vavg is the average value, and Vm is the peak value of the half sine wave.
In a full wave rectifier, the peak value of the output voltage is equal to the peak value of the input voltage, which is Vm = Vp.
Therefore, the average value of the output voltage is:
Vavg = (2/π) * Vp
2. RMS value of the output voltage:
The RMS value of the output voltage can be calculated by taking the square root of the mean square value of the waveform. For a half sine wave, the mean square value is given by:
Vrms = (1/√2) * Vp
For a full wave rectifier, the peak value of the output voltage is equal to the peak value of the input voltage, which is Vp.
Therefore, the RMS value of the output voltage is:
Vrms = (1/√2) * Vp
3. Calculating the form factor:
The form factor is obtained by dividing the average value by the RMS value of the output voltage.
Form factor = Vavg / Vrms
= [(2/π) * Vp] / [(1/√2) * Vp]
= (2/π) * √2
Calculating the numerical value of the form factor:
Form factor ≈ 1.57
Therefore, the correct answer is option C) 1.57.
To calculate the form factor, we first need to determine the average value and RMS value of the output voltage.
1. Average value of the output voltage:
In a full wave rectifier, the output voltage is a pulsating DC waveform. The average value of this waveform can be calculated by integrating the voltage over one complete cycle and dividing by the period. For a resistive load, the output voltage waveform is symmetrical and can be considered as a series of half sine waves.
The average value of a half sine wave is given by:
Vavg = (2/π) * Vm
Where Vavg is the average value, and Vm is the peak value of the half sine wave.
In a full wave rectifier, the peak value of the output voltage is equal to the peak value of the input voltage, which is Vm = Vp.
Therefore, the average value of the output voltage is:
Vavg = (2/π) * Vp
2. RMS value of the output voltage:
The RMS value of the output voltage can be calculated by taking the square root of the mean square value of the waveform. For a half sine wave, the mean square value is given by:
Vrms = (1/√2) * Vp
For a full wave rectifier, the peak value of the output voltage is equal to the peak value of the input voltage, which is Vp.
Therefore, the RMS value of the output voltage is:
Vrms = (1/√2) * Vp
3. Calculating the form factor:
The form factor is obtained by dividing the average value by the RMS value of the output voltage.
Form factor = Vavg / Vrms
= [(2/π) * Vp] / [(1/√2) * Vp]
= (2/π) * √2
Calculating the numerical value of the form factor:
Form factor ≈ 1.57
Therefore, the correct answer is option C) 1.57.
|
Explore Courses for Physics exam
|
|
The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer?
Question Description
The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer?.
The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer?.
Solutions for The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The form factor (in case of resistive load) for a full wave rectifier is:-a)1.21b)0.482c)1.11d)1.57Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup