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When the spacing between the conductors in an overhead line is increased
- a)The line inductance decreases but the capacitance increases
- b)The line capacitance decreases but the inductance increases
- c)Both the inductance and the capacitance decreases
- d)Both the inductance and the capacitance increases
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
When the spacing between the conductors in an overhead line is increas...
The spacing between the conductors in an overhead line is directly proportional to inductance and inversely proportional to capacitance. Hence as spacing of overhead line is increase, the line capacitance decreases but line inductance increases.
Most Upvoted Answer
When the spacing between the conductors in an overhead line is increas...
Explanation:
When the spacing between the conductors in an overhead line is increased, the line capacitance decreases but the inductance increases. This is due to the following reasons:
1. Capacitance:
- The capacitance of a transmission line is primarily determined by the spacing between the conductors.
- When the spacing between the conductors is increased, the electric field between them is weakened, resulting in a decrease in capacitance.
- The capacitance between the conductors is given by the equation C = εA/d, where C is the capacitance, ε is the permittivity of the medium between the conductors, A is the area of overlap between the conductors, and d is the distance between the conductors.
- As the distance between the conductors increases, the capacitance decreases because the area of overlap decreases.
2. Inductance:
- The inductance of a transmission line is primarily determined by the spacing between the conductors and the arrangement of the conductors.
- When the spacing between the conductors is increased, the magnetic field between them is strengthened, resulting in an increase in inductance.
- The inductance of a transmission line is given by the equation L = μl/2π ln(D/d), where L is the inductance, μ is the permeability of the medium between the conductors, l is the length of the line, D is the diameter of the conductor, and d is the distance between the conductors.
- As the distance between the conductors increases, the inductance increases because the natural logarithm term in the equation increases.
Conclusion:
Based on the above explanations, when the spacing between the conductors in an overhead line is increased, the line capacitance decreases but the inductance increases. This is due to the weakening of the electric field and strengthening of the magnetic field between the conductors.
When the spacing between the conductors in an overhead line is increased, the line capacitance decreases but the inductance increases. This is due to the following reasons:
1. Capacitance:
- The capacitance of a transmission line is primarily determined by the spacing between the conductors.
- When the spacing between the conductors is increased, the electric field between them is weakened, resulting in a decrease in capacitance.
- The capacitance between the conductors is given by the equation C = εA/d, where C is the capacitance, ε is the permittivity of the medium between the conductors, A is the area of overlap between the conductors, and d is the distance between the conductors.
- As the distance between the conductors increases, the capacitance decreases because the area of overlap decreases.
2. Inductance:
- The inductance of a transmission line is primarily determined by the spacing between the conductors and the arrangement of the conductors.
- When the spacing between the conductors is increased, the magnetic field between them is strengthened, resulting in an increase in inductance.
- The inductance of a transmission line is given by the equation L = μl/2π ln(D/d), where L is the inductance, μ is the permeability of the medium between the conductors, l is the length of the line, D is the diameter of the conductor, and d is the distance between the conductors.
- As the distance between the conductors increases, the inductance increases because the natural logarithm term in the equation increases.
Conclusion:
Based on the above explanations, when the spacing between the conductors in an overhead line is increased, the line capacitance decreases but the inductance increases. This is due to the weakening of the electric field and strengthening of the magnetic field between the conductors.
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When the spacing between the conductors in an overhead line is increaseda)The line inductance decreases but the capacitance increasesb)The line capacitance decreases but the inductance increasesc)Both the inductance and the capacitance decreasesd)Both the inductance and the capacitance increasesCorrect answer is option 'B'. Can you explain this answer?
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