Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A single-phase transmission line has two cond...
Start Learning for Free
A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.
Correct answer is between '1.41,1.47'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A single-phase transmission line has two conductors each of 10mm radiu...
To find the distance D in meters for the three-phase transmission line, we need to analyze the given information and apply the relevant formulas. Let's break it down step by step.
1. Single-phase transmission line:
- Two conductors with a radius of 10mm are fixed at a center-to-center distance of 1m in a horizontal plane.
- The inductance per conductor of the single-phase system is denoted as Ls.
2. Three-phase transmission line:
- A third conductor with the same radius of 10mm is introduced.
- The three-phase line is fully transposed, meaning the positions of the conductors are periodically exchanged to balance the system.
- The positive sequence inductance per phase of the three-phase system is 5% more than that of the inductance per conductor of the single-phase system.
To find the distance D, we can use the formula for the inductance of a transmission line:
L = (μ/2π) * ln(D/r)
where L is the inductance, μ is the permeability of the medium (typically air or vacuum), D is the distance between the conductors, and r is the radius of the conductors.
Let's denote the positive sequence inductance per phase of the three-phase system as Lt. Given that it is 5% more than the inductance per conductor of the single-phase system (Ls), we can write:
Lt = Ls + 0.05Ls
Lt = 1.05Ls
To find D, we can equate the inductance formulas for the single-phase and three-phase systems:
(μ/2π) * ln(D/r) = Lt
(μ/2π) * ln(D/r) = 1.05Ls
Now, we can solve for D by substituting the values:
- μ is a constant for air or vacuum.
- r is the radius of the conductors (10mm or 0.01m).
- Lt = 1.05Ls
Solving the equation will give us the value of D, which falls within the range of 1.41 to 1.47 meters as stated in the correct answer.
1. Single-phase transmission line:
- Two conductors with a radius of 10mm are fixed at a center-to-center distance of 1m in a horizontal plane.
- The inductance per conductor of the single-phase system is denoted as Ls.
2. Three-phase transmission line:
- A third conductor with the same radius of 10mm is introduced.
- The three-phase line is fully transposed, meaning the positions of the conductors are periodically exchanged to balance the system.
- The positive sequence inductance per phase of the three-phase system is 5% more than that of the inductance per conductor of the single-phase system.
To find the distance D, we can use the formula for the inductance of a transmission line:
L = (μ/2π) * ln(D/r)
where L is the inductance, μ is the permeability of the medium (typically air or vacuum), D is the distance between the conductors, and r is the radius of the conductors.
Let's denote the positive sequence inductance per phase of the three-phase system as Lt. Given that it is 5% more than the inductance per conductor of the single-phase system (Ls), we can write:
Lt = Ls + 0.05Ls
Lt = 1.05Ls
To find D, we can equate the inductance formulas for the single-phase and three-phase systems:
(μ/2π) * ln(D/r) = Lt
(μ/2π) * ln(D/r) = 1.05Ls
Now, we can solve for D by substituting the values:
- μ is a constant for air or vacuum.
- r is the radius of the conductors (10mm or 0.01m).
- Lt = 1.05Ls
Solving the equation will give us the value of D, which falls within the range of 1.41 to 1.47 meters as stated in the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
A single-phase transmission line has two conductors each of 10mm radiu...
When single phase,
When converted to three phase,
Solving , we get
When converted to three phase,
Solving , we get
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer?
Question Description
A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. 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 transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. 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 transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer?.
A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. 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 transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. 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 transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer?.
Solutions for A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer?, a detailed solution for A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer? has been provided alongside types of A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______.Correct answer is between '1.41,1.47'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
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