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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  The inductance of a power transmission line i... Start Learning for Free
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The inductance of a power transmission line increases with
  • a)
    Increase in diameter of the conductor
  • b)
    The decrease in line length
  • c)
    Increase in spacing between the phase conductors
  • d)
    Increase in load current carried by the conductor
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The inductance of a power transmission line increases witha)Increase i...
The correct answer is option 'C': Increase in spacing between the phase conductors.

Explanation:
Inductance is a property of an electrical circuit that opposes changes in current. It is caused by the magnetic field generated around a current-carrying conductor. The inductance of a power transmission line depends on several factors, including the diameter of the conductor, line length, spacing between the phase conductors, and the load current carried by the conductor.

- Increase in diameter of the conductor:
The inductance of a conductor is inversely proportional to its diameter. A larger diameter conductor has a lower inductance, as the magnetic field produced by the current is spread over a larger area. Therefore, an increase in the diameter of the conductor would result in a decrease in inductance, not an increase.

- Decrease in line length:
The inductance of a transmission line is directly proportional to its length. A longer transmission line has a higher inductance because the magnetic field generated by the current has a longer path to travel. Therefore, a decrease in line length would result in a decrease in inductance, not an increase.

- Increase in spacing between the phase conductors:
The inductance of a power transmission line is significantly affected by the spacing between the phase conductors. When the spacing between the conductors is increased, the magnetic field produced by the current is spread over a larger area. This results in a decrease in the magnetic flux linkage between the conductors and a decrease in inductance. Therefore, an increase in spacing between the phase conductors leads to a decrease in inductance.

- Increase in load current carried by the conductor:
The inductance of a transmission line is not directly affected by the load current carried by the conductor. The load current determines the amount of current flowing through the conductor, but it does not directly affect the inductance of the transmission line.

In conclusion, the correct answer is option 'C': Increase in spacing between the phase conductors. Increasing the spacing between the phase conductors decreases the inductance of a power transmission line.
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Community Answer
The inductance of a power transmission line increases witha)Increase i...
The inductance of a transmission line is given by,

Where, d = distance between the conductors
r’ = 0.7788r
r = radius of conductors
Therefore, if we increase the spacing between the phase conductors, the value of line inductance will increase.
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it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

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The inductance of a power transmission line increases witha)Increase in diameter of the conductorb)The decrease in line lengthc)Increase in spacing between the phase conductorsd)Increase in load current carried by the conductorCorrect answer is option 'C'. Can you explain this answer?
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