Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The surge impedance of 50 km long underground...
Start Learning for Free
The surge impedance of 50 km long underground cable is 50 ohm. For a 100 km. length of cable the surge impedance will be
- a)100 ohm
- b)200 ohm
- c)50 ohm
- d)150 ohm
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The surge impedance of 50 km long undergroundcable is 50 ohm. For a 10...
Surge Impedance
The surge impedance of a transmission line is a characteristic impedance that determines the propagation of electrical signals along the line. It is a measure of the resistance and reactance of the line to the flow of surge currents or voltage transients.
Relationship between Surge Impedance and Line Length
The surge impedance is directly proportional to the square root of the inductance per unit length and inversely proportional to the square root of the capacitance per unit length of the transmission line. Mathematically, surge impedance (Zs) is given by the formula:
Zs = √(L/C)
Where:
Zs = Surge Impedance
L = Inductance per unit length
C = Capacitance per unit length
Calculation
Given:
Length of the first cable = 50 km
Surge Impedance of the first cable = 50 ohm
To find the surge impedance of a 100 km length of cable, we can use the relationship between surge impedance and line length.
Zs2 = Zs1 * √(L2/L1)
Where:
Zs2 = Surge Impedance of the second cable (100 km)
Zs1 = Surge Impedance of the first cable (50 km)
L2 = Length of the second cable (100 km)
L1 = Length of the first cable (50 km)
Substituting the given values into the formula:
Zs2 = 50 * √(100/50)
Zs2 = 50 * √2
Zs2 = 50 * 1.414
Zs2 = 70.71 ohm
Therefore, the surge impedance of a 100 km length of cable is approximately 70.71 ohm.
Conclusion
The correct option is C) 50 ohm.
The surge impedance of a transmission line is a characteristic impedance that determines the propagation of electrical signals along the line. It is a measure of the resistance and reactance of the line to the flow of surge currents or voltage transients.
Relationship between Surge Impedance and Line Length
The surge impedance is directly proportional to the square root of the inductance per unit length and inversely proportional to the square root of the capacitance per unit length of the transmission line. Mathematically, surge impedance (Zs) is given by the formula:
Zs = √(L/C)
Where:
Zs = Surge Impedance
L = Inductance per unit length
C = Capacitance per unit length
Calculation
Given:
Length of the first cable = 50 km
Surge Impedance of the first cable = 50 ohm
To find the surge impedance of a 100 km length of cable, we can use the relationship between surge impedance and line length.
Zs2 = Zs1 * √(L2/L1)
Where:
Zs2 = Surge Impedance of the second cable (100 km)
Zs1 = Surge Impedance of the first cable (50 km)
L2 = Length of the second cable (100 km)
L1 = Length of the first cable (50 km)
Substituting the given values into the formula:
Zs2 = 50 * √(100/50)
Zs2 = 50 * √2
Zs2 = 50 * 1.414
Zs2 = 70.71 ohm
Therefore, the surge impedance of a 100 km length of cable is approximately 70.71 ohm.
Conclusion
The correct option is C) 50 ohm.
Free Test
FREE
| Start Free Test |
Community Answer
The surge impedance of 50 km long undergroundcable is 50 ohm. For a 10...
Surge impedance:
The surge impedance or characteristic impedance of a long transmission line is given by,
Where,
Z is series impedance per unit length per phase
Y is shunt admittance per unit length per phase
In case of a lossless line (i.e. R = 0, G = 0), the surge impedance is given by
- Surge impedance does not depend upon the length of the transmission line.
- Surge impedance depends on the characteristics of the transmission line like diameter & spacing between the conductors.
- So that surge impedance of 100 km and 50km long underground cable is 50 Ω.
Important Points
Surge impedance loading (SIL):
Surge impedance loading is defined as the power load in which the total reactive power of the lines becomes zero. The reactive power generated by the shunt capacitance is consumed by the series inductance of the line.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer?
Question Description
The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. 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 The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. 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 The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer?.
The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. 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 The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. 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 The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The surge impedance of 50 km long undergroundcable is 50 ohm. For a 100 km. length of cablethe surge impedance will bea)100 ohmb)200 ohmc)50 ohmd)150 ohmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
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