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A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will be
- a)196.44 Ω
- b)286.62 Ω
- c)250 Ω
- d)290.43 Ω
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The li...
ΜF/km per phase.
To calculate the inductive reactance (XL) of the transmission line per phase, we can use the formula:
XL = 2πfL
where:
XL = inductive reactance per phase
f = frequency (in Hz)
L = line inductance per unit length (in H/km)
In this case, the line inductance per unit length is given as 0.97 mH/km per phase, which is equal to 0.97 * 10^-3 H/km per phase. The frequency is given as 50 Hz.
XL = 2π * 50 * 0.97 * 10^-3
XL = 0.306 Ω/km per phase
To calculate the capacitive reactance (XC) of the transmission line per phase, we can use the formula:
XC = 1 / (2πfC)
where:
XC = capacitive reactance per phase
C = line capacitance per unit length (in F/km)
In this case, the line capacitance per unit length is given as 0.0115 µF/km per phase, which is equal to 0.0115 * 10^-6 F/km per phase.
XC = 1 / (2π * 50 * 0.0115 * 10^-6)
XC = 2915.9 Ω/km per phase
Finally, to calculate the total impedance of the transmission line per phase, we can use the formula:
Z = √(R^2 + (XL - XC)^2)
where:
Z = total impedance per phase
R = resistance per unit length (assumed to be negligible)
Since the resistance per unit length is assumed to be negligible, we can ignore it in this calculation.
Z = √((XL - XC)^2)
Z = √((0.306 - 2915.9)^2)
Z = 2915.9 Ω/km per phase
Therefore, the total impedance of the transmission line per phase is 2915.9 Ω/km.
To calculate the inductive reactance (XL) of the transmission line per phase, we can use the formula:
XL = 2πfL
where:
XL = inductive reactance per phase
f = frequency (in Hz)
L = line inductance per unit length (in H/km)
In this case, the line inductance per unit length is given as 0.97 mH/km per phase, which is equal to 0.97 * 10^-3 H/km per phase. The frequency is given as 50 Hz.
XL = 2π * 50 * 0.97 * 10^-3
XL = 0.306 Ω/km per phase
To calculate the capacitive reactance (XC) of the transmission line per phase, we can use the formula:
XC = 1 / (2πfC)
where:
XC = capacitive reactance per phase
C = line capacitance per unit length (in F/km)
In this case, the line capacitance per unit length is given as 0.0115 µF/km per phase, which is equal to 0.0115 * 10^-6 F/km per phase.
XC = 1 / (2π * 50 * 0.0115 * 10^-6)
XC = 2915.9 Ω/km per phase
Finally, to calculate the total impedance of the transmission line per phase, we can use the formula:
Z = √(R^2 + (XL - XC)^2)
where:
Z = total impedance per phase
R = resistance per unit length (assumed to be negligible)
Since the resistance per unit length is assumed to be negligible, we can ignore it in this calculation.
Z = √((XL - XC)^2)
Z = √((0.306 - 2915.9)^2)
Z = 2915.9 Ω/km per phase
Therefore, the total impedance of the transmission line per phase is 2915.9 Ω/km.
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A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The li...
Surge impedance of the line is given by
or,
or,
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A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer?
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A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. 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 three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. 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 three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer?.
A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. 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 three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. 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 three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A three-phase, 50 Hz, 400 kV, transmission line is 300 km long. The line inductance is 0.97 mH/km per phase and capacitance is 0.0115 μF/km per phase. Assuming a lossless line, the surge impedance of the line will bea)196.44 Ωb)286.62 Ωc)250 Ωd)290.43 ΩCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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