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A three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:
- a)0.921 mH/km
- b)0.4605 mH/km
- c)0.4605 mH/m
- d)0.921 mH/m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A three-phase line has its conductors at the corners of an equilateral...
Concept:
The inductance of a three-phase line having its conductors at the corners of an equilateral triangle is given by:
Calculation:
Given, a = 1m
L = 9.21 H/m
L = 9.21 × 10-1 mH\km
L = 0.921 mH\km
The inductance of a three-phase line having its conductors at the corners of an equilateral triangle is given by:
Calculation:
Given, a = 1m
L = 9.21 H/m
L = 9.21 × 10-1 mH\km
L = 0.921 mH\km
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Community Answer
A three-phase line has its conductors at the corners of an equilateral...
Given information:
- The conductors of the three-phase line are arranged in an equilateral triangle with a side length of 1 m.
- The radius of each conductor is (1/0.7788) cm.
- We need to determine the inductance per phase per km.
To solve this problem, we can use the formula for the inductance of a three-phase line:
L = (μ0 / π) * ln(D/r)
Where:
L is the inductance per unit length (H/m),
μ0 is the permeability of free space (4π × 10^-7 H/m),
D is the distance between the conductors (m),
r is the radius of each conductor (m).
Step 1: Calculate the distance between the conductors (D).
For an equilateral triangle, the distance between the corners (D) can be found using the formula:
D = 2 * (side length / √3)
Plugging in the values, we get:
D = 2 * (1 m / √3) = 2 / √3 m
Step 2: Convert the radius of each conductor to meters.
Given that the radius of each conductor is (1/0.7788) cm, we can convert it to meters by dividing it by 100:
r = (1/0.7788) cm / 100 = 0.01285 m
Step 3: Calculate the inductance per unit length (L).
Using the formula mentioned earlier, we can calculate the inductance per unit length:
L = (μ0 / π) * ln(D/r)
Substituting the values, we get:
L = (4π × 10^-7 H/m / π) * ln((2 / √3) / 0.01285) = (4 × 10^-7 H/m) * ln(155.35) ≈ 0.921 mH/m
Therefore, the correct answer is option 'A': 0.921 mH/km.
- The conductors of the three-phase line are arranged in an equilateral triangle with a side length of 1 m.
- The radius of each conductor is (1/0.7788) cm.
- We need to determine the inductance per phase per km.
To solve this problem, we can use the formula for the inductance of a three-phase line:
L = (μ0 / π) * ln(D/r)
Where:
L is the inductance per unit length (H/m),
μ0 is the permeability of free space (4π × 10^-7 H/m),
D is the distance between the conductors (m),
r is the radius of each conductor (m).
Step 1: Calculate the distance between the conductors (D).
For an equilateral triangle, the distance between the corners (D) can be found using the formula:
D = 2 * (side length / √3)
Plugging in the values, we get:
D = 2 * (1 m / √3) = 2 / √3 m
Step 2: Convert the radius of each conductor to meters.
Given that the radius of each conductor is (1/0.7788) cm, we can convert it to meters by dividing it by 100:
r = (1/0.7788) cm / 100 = 0.01285 m
Step 3: Calculate the inductance per unit length (L).
Using the formula mentioned earlier, we can calculate the inductance per unit length:
L = (μ0 / π) * ln(D/r)
Substituting the values, we get:
L = (4π × 10^-7 H/m / π) * ln((2 / √3) / 0.01285) = (4 × 10^-7 H/m) * ln(155.35) ≈ 0.921 mH/m
Therefore, the correct answer is option 'A': 0.921 mH/km.
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A three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer?.
A three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A three-phase line has its conductors at the corners of an equilateral triangle of side 1 m. The radius of each conductor is (1/0.7788) cm. The inductance per phase per km is given by:a)0.921 mH/kmb)0.4605 mH/kmc)0.4605 mH/md)0.921 mH/mCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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