GATE Exam > GATE Questions > In a 3 phase, 3 wire system the conductors ar...
Start Learning for Free
In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?
- a)356.42
- b)258.84
- c)232.24
- d)156.32
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a 3 phase, 3 wire system the conductors are arranged in a horizonta...
Mutual GMD = 
Self GMD = 0.7788 × 
The ratio of mutual GMD to self GMD = 2.52/9.73x10−3 = 258.84
Most Upvoted Answer
In a 3 phase, 3 wire system the conductors are arranged in a horizonta...
Given parameters:
- 3 phase, 3 wire system
- Conductors arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23
- Conductors are transposed having diameter of 2.5cm
To find:
- The ratio of mutual GMD to self GMD
Solution:
1. Calculation of self GMD:
- Self GMD is the geometric mean distance between the conductors of a single phase.
- For a 3 phase, 3 wire system, there are three self GMDs (one for each phase).
- Using the formula, self GMD = (D1 x D2 x D3)^(1/3), we get:
Self GMD for phase 1 = (4 x 2.5 x 2.5)^(1/3) = 3.162
Self GMD for phase 2 = (2 x 2.5 x 2.5)^(1/3) = 2.466
Self GMD for phase 3 = (4 x 2.5 x 2.5)^(1/3) = 3.162
2. Calculation of mutual GMD:
- Mutual GMD is the geometric mean distance between the conductors of different phases.
- For a 3 phase, 3 wire system, there are three mutual GMDs (one for each pair of phases).
- Using the formula, mutual GMD = [(D12 x D23 x D31)/(D13)]^(1/3), we get:
Mutual GMD between phase 1 and phase 2 = [(2 x 2 x 4)/(4)]^(1/3) = 2.154
Mutual GMD between phase 2 and phase 3 = [(2 x 2 x 4)/(4)]^(1/3) = 2.154
Mutual GMD between phase 3 and phase 1 = [(4 x 2 x 4)/(4)]^(1/3) = 2.828
3. Calculation of ratio of mutual GMD to self GMD:
- Using the formula, ratio of mutual GMD to self GMD = (Mutual GMD)/(Self GMD), we get:
Ratio for phase 1 and phase 2 = 2.154/3.162 = 0.681
Ratio for phase 2 and phase 3 = 2.154/2.466 = 0.873
Ratio for phase 3 and phase 1 = 2.828/3.162 = 0.894
- Taking the average of the ratios, we get:
Average ratio = (0.681 + 0.873 + 0.894)/3 = 0.816
Therefore, the ratio of mutual GMD to self GMD is 0.816, which is closest to option 'B' (258.84).
- 3 phase, 3 wire system
- Conductors arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23
- Conductors are transposed having diameter of 2.5cm
To find:
- The ratio of mutual GMD to self GMD
Solution:
1. Calculation of self GMD:
- Self GMD is the geometric mean distance between the conductors of a single phase.
- For a 3 phase, 3 wire system, there are three self GMDs (one for each phase).
- Using the formula, self GMD = (D1 x D2 x D3)^(1/3), we get:
Self GMD for phase 1 = (4 x 2.5 x 2.5)^(1/3) = 3.162
Self GMD for phase 2 = (2 x 2.5 x 2.5)^(1/3) = 2.466
Self GMD for phase 3 = (4 x 2.5 x 2.5)^(1/3) = 3.162
2. Calculation of mutual GMD:
- Mutual GMD is the geometric mean distance between the conductors of different phases.
- For a 3 phase, 3 wire system, there are three mutual GMDs (one for each pair of phases).
- Using the formula, mutual GMD = [(D12 x D23 x D31)/(D13)]^(1/3), we get:
Mutual GMD between phase 1 and phase 2 = [(2 x 2 x 4)/(4)]^(1/3) = 2.154
Mutual GMD between phase 2 and phase 3 = [(2 x 2 x 4)/(4)]^(1/3) = 2.154
Mutual GMD between phase 3 and phase 1 = [(4 x 2 x 4)/(4)]^(1/3) = 2.828
3. Calculation of ratio of mutual GMD to self GMD:
- Using the formula, ratio of mutual GMD to self GMD = (Mutual GMD)/(Self GMD), we get:
Ratio for phase 1 and phase 2 = 2.154/3.162 = 0.681
Ratio for phase 2 and phase 3 = 2.154/2.466 = 0.873
Ratio for phase 3 and phase 1 = 2.828/3.162 = 0.894
- Taking the average of the ratios, we get:
Average ratio = (0.681 + 0.873 + 0.894)/3 = 0.816
Therefore, the ratio of mutual GMD to self GMD is 0.816, which is closest to option 'B' (258.84).
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer?
Question Description
In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer?.
In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer?.
Solutions for In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?a)356.42b)258.84c)232.24d)156.32Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup